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1 VIKRAM SARABHAI SPACE CENTRE (VSSC) PROFILE VSSC is the lead centre for development of satellite launch vehicles and associated technologies. The centre pursues active research and development in a host of distinct technology domains like aeronautic, avionics, composites etc… with a view to achieve self-reliance in the high tech realm of launch vehicle technology. VSSC has its origin in the Thumba Equatorial Rocket Launching Station (TERLS). TERLS became operational on November 21, 1963 with the successful launching of a two-stage sounding rocket, ‘Nike-Apache’. After the death of Dr Vikram Sarabhai, on December 30, 1971, the whole complex at Thiruvananthapuram was renamed as “Vikram Sarabhai Space Centre”. Major programmes of VSSC include Polar Satellite Launch Vehicle (PSLV), Geosynchronous Satellite Launch Vehicle (GSLV), Rohini Sounding Rocket, Space Capsule Recovery Experiment, Reusable Launch Vehicles and Air Breathing Propulsion. VSSC made significant contribution to India’s maiden mission to the Moon. Chandrayaan-1. VSSC R&D efforts have included solid propellant formulations. Another focus area has been navigation systems, the ISRO Inertial Systems Unit (IISU) established at Vattiyoorkavu is a part of VSSC. VSSC involved in the development of air-breathing vehicles. A reusable launch vehicle technology demonstrator is under development, which will be tested soon.

Optimisation of machining parameters for slot milling operation in Inconel 625 alloy by using taguchi based grey relational analysis

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    VIKRAM SARABHAI SPACE CENTRE (VSSC)

    PROFILE

    VSSC is the lead centre for development of satellite launch vehicles and

    associated technologies. The centre pursues active research and development in a host

    of distinct technology domains like aeronautic, avionics, composites etc with a view

    to achieve self-reliance in the high tech realm of launch vehicle technology.

    VSSC has its origin in the Thumba Equatorial Rocket Launching Station

    (TERLS). TERLS became operational on November 21, 1963 with the successful

    launching of a two-stage sounding rocket, Nike-Apache. After the death of

    Dr Vikram Sarabhai, on December 30, 1971, the whole complex at

    Thiruvananthapuram was renamed as Vikram Sarabhai Space Centre.

    Major programmes of VSSC include Polar Satellite Launch Vehicle (PSLV),

    Geosynchronous Satellite Launch Vehicle (GSLV), Rohini Sounding Rocket, Space

    Capsule Recovery Experiment, Reusable Launch Vehicles and Air Breathing

    Propulsion.

    VSSC made significant contribution to Indias maiden mission to the Moon.

    Chandrayaan-1. VSSC R&D efforts have included solid propellant formulations.

    Another focus area has been navigation systems, the ISRO Inertial Systems Unit (IISU)

    established at Vattiyoorkavu is a part of VSSC. VSSC involved in the development of

    air-breathing vehicles. A reusable launch vehicle technology demonstrator is under

    development, which will be tested soon.

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    CHAPTER 1

    INTRODUCTION

    INCONEL 625 is a nickel based super alloy which is widely used in aerospace

    industry. Inconel 625 is a nickel chromium molybdenum solid solution strengthened,

    high strength alloy, which retains strength at high temperatures. It is used from

    cryogenic temperatures to 980C. Fatigue strength is outstanding, particularly as the

    bellows grade, Inconel 625 LCF, where carbon, silicon and nitrogen are controlled to

    low levels. The alloys have good oxidation resistance and resist corrosion in any

    corrosive media. When exposed to high temperature for long periods, Inconel 625 will

    age hardened due to the niobium, titanium and aluminium additions. When aged there is

    an increase in strength and some loss of ductility and toughness. These materials are

    referred to as difficult to machine since they possess rapid work hardening during

    machining which will reduce further metal cutting. Machining of these materials in the

    optimum range is required so as to have maximum material removal rate at minimum

    surface roughness.

    At present ISRO is diversifying its research activities and re-usable launch

    vehicle technology is one of them. This diversification equally effects in product

    realisation also which demands for realisation of products in super alloy materials like

    INCONEL 625. The project is on the theme on optimisation of machining parameters

    on Inconel component by addressing the machining difficulties discussed above. For

    this attempt Taguchi method, grey relational analysis are used for better result. Hence a

    set of optimised parameters is aimed to obtain for immediate application in the

    component for better result.

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    CHAPTER 2

    LITERATURE SURVEY

    Lalit Kumar, R Venkataramani, M.Sundararaman, P. Mukhopadhyay and

    S.P.Garg [1] investigated the oxidation behaviour of Inconel 625 in 2000 during the

    early stages been studied at oxygen pressure of 0.12kPa and 101.3kPa in the

    temperature range of 1323K to 1523K by using TGA and between 873 and 1523K by

    using XPS,AES and EDS. The results of XPS and AES analysis suggested that two

    distinctly different oxidation mechanisms operate, depending on the temperature of

    oxidisation.

    Kamran Mumtaz, Neil Hopkinson [2] investigated about the top surface and side

    roughness of Inconel 625 in 2000 parts processed using selective laser melting and

    showed that higher peak powers tended to reduce top surface roughness and reduce side

    roughness as recoil pressures flatten out the melt pool and reduce balling formation by

    increasing wettability of the melt.

    Chen Hong, Donghua Dai, Moritz Alkhayat [3] conducted the study on High-

    temperature oxidation performance and its mechanism of TiC/Inconel 625 composites

    in 2001 prepared by laser metal deposition additive manufacturing and revealed that

    The incorporation of TiC reinforcement in Inconel 625 matrix improved the oxidation

    resistance of the LMD-processed parts. For the LMD-processed TiC/Inconel 625

    composites, the oxidized layers on the surface were composed of Cr2O 3 and TiO2.

    T.E. Abioye, J. Folkes, A.T. Clare [4] Conducted a parametric study of Inconel 625

    wire laser deposition in 2003 and found out that Energy per unit length of track and

    wire deposition volume per unit length of track significantly influence both the

    deposition process characteristics and the track geometrical characteristics. Excessively

    low and high wire deposition volume per unit of track for a given energy per unit length

    of track resulted in wire dripping and wire stubbing respectively.

    Taiwo Ebenezer Abioye [5] conducted an experiment on Laser Deposition of Inconel

    625/Tungsten Carbide Composite Coatings by Powder and Wire Feedstock in 2005 and

    revealed the fact that the life span of stainless steel components can be extended in

    chloride ion rich corrosive environment (e.g. oil and gas environments) by coating them

  • 4

    with Inconel 625 laser coatings. However, using Inconel 625 wire coatings is more

    advantageous because of better process economy and improved corrosion resistance.

    Rodge M.K, Sarpate S.S, Sharma S.B [6] investigated on process response and

    parameters in wire electrical discharge machining of Inconel 625 in 2007 and concluded

    that pulse-on time has the highest rank 1. Therefore, it has the most significant effect

    on kerf width. As pulse-on time increase the kerf width increases significantly.

    Guru Prasad Dinda, Ashish Dasgupta, Jyoti Mazunder [7] investigated about

    Microstructural studies on Inconel 625 components fabricated by laser aid metal

    deposition in 2008 and concluded that a variety of different phases can be produced in

    Inconel 625 during solidification and during thermal processing.

    Abhishek Jivrag, Shashikant Pople [8] studied Erosion Wear Behaviour of Inconel

    625 Plasma Transferred Arc Weld (PTAW) Deposits using Air Jet Erosion Tester in

    2008 and revealed that the wear rate is maximum at 30, sharply decreases at 60 and is

    minimum at 90. Thus rate of wear goes on decreasing from 30 to 90. This provides

    the evidence that Inconel 625 despite having hardness value around 350 VHN follows

    the wear trend of ductile material and not of hard material as expected from its hardness

    value.

    E.Pavithran, V.S.Senthil Kumar [9] conducted experimental investigation and

    performance evaluation of hydro formed tubular bellows in Inconel 625 alloy in 2010

    and summarized that the Inconel 625 bellows exhibits better performance as a material

    that can be suitable to construct the bellows.

  • 5

    CHAPTER 3

    PROBLEM DESCRIPTION

    Inconel 625 is a nickel based super alloy. These alloys have very important

    advantages at the same time it has the drawback of difficult to machine. These have

    very high strength to weight ratio. They are highly heat resistant and corrosion resistant.

    So it has very useful application in different industrial sectors, aircraft, marine systems

    etc... So want to reduce the difficulties involved in the machining of these alloy.

    In this project we try to improve the machinability of Inconel 625 alloy by

    taking three machining parameters cutting velocity, feed rate and depth of cut. Any

    metal can be machined in any values of feed, velocity and depth of cut. But maximum

    output is obtained only when optimum ranges of cutting velocity, feed and depth of cut

    are used. In this project we aims to find out the optimum value of machining parameters

    for machining Inconel 625 by using Taguchi method of optimisation along with grey

    relational analysis and ANOVA.

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    CHAPTER 4

    THEORETICAL STUDY

    4.1 SUPER ALLOYS

    Super alloys are unique high temperature materials used in gas turbine engines,

    which display excellent resistance to mechanical and chemical degradation. Single

    crystal super alloys are commonly used as blade materials for aircraft turbines. These

    alloys are also called high performance alloys. They are high temperature heat resistant

    alloys that can retain their strength at high temperature. Alloying increases the strength

    and temperature capabilities but decreases the processability. These alloys exhibits

    excellent mechanical strength and creep resistance at high temperature, good surface

    stability, corrosion and oxidation resistance. It have a matrix with austenitic face

    centred cubic crystal structure. A super alloys base alloying elements are Nickel,

    Cobalt and Nickel-iron. These also contains lesser amounts of Tungsten, Molybdenum,

    Tantalum, Niobium, Titanium, and Aluminium. Examples of super alloys are Hastelloy,

    Inconel, Waspaloy, Rene alloys, Haynes alloys, Incoloy, MP98T, TMS alloy and

    CMSX single crystal alloys. Effect of different alloying elements are shown below

    Fig 4.1 Effects of different alloying elements

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    4.2 CLASSIFICATION OF SUPER ALLOYS

    a) Iron-base super alloys:

    Iron-base super alloys are those alloys that have iron as the major

    constituents, with significant amounts of chromium and nickel and lesser

    amounts of molybdenum or tungsten. They are also strengthened by a carbide or

    inter metallic precipitate and solid solution. The inter metallic precipitate is

    usually of the Ni (Al,Ti) type. They differ from stainless steel in their

    chromium-nickel ratios and strengthening mechanisms

    .

    b) Cobalt-base super alloys:

    Cobalt-base super alloys are those alloys that have cobalt as the major

    constituent, with significant amount of nickel, chromium and tungsten and lesser

    amount of molybdenum, niobium, tantalum, titanium, lanthanum and Iron on

    occasion. They are strengthened by solid solution and carbide phases. Cobalt

    solid solution alloys can be classified into three groups on the basis of use

    a) Alloys for use primarily at temperatures from 650 to 1150 C including

    Haynes 25, Haynes 188, Umco-50 and S-816.

    b) Fastener alloys MP-35N and MP-159 for use about 650C.

    c) Wear resistant stellite-6B.

    c) Nickel-base super alloys:

    Nickel-base super alloys are defined as those alloys that have nickel as

    the major constituent, with significant amounts of chromium. They may contain

    cobalt, iron, tungsten, molybdenum and tantalum as major alloying elements.

    They are strengthened by solid solution and second phase inter metallic

    precipitation. Many nickel base alloys contain small amounts of aluminium,

    titanium, niobium, molybdenum and tungsten to enhance either strength or

    corrosion resistance. The combination of nickel and chromium gives these alloys

    outstanding corrosion resistance.

  • 8

    4.3 APPLICATIONS

    Aircraft and industrial turbines: Disks, bolts, shafts, cases, blades, vanes,

    burner cans, afterburners, and thrust reverses.

    Steam turbine power plants: Bolts, blades and stack gas reheaters.

    Space vehicles: Aerodynamically heated skins and rocket engine parts.

    Reciprocating engines: Turbochargers exhaust valve, hot plugs, pre combustion

    cups and valve seat inserts.

    Metal processing: Hot work tool and dies.

    Heat treating equipment: Trays, fixtures and conveyer belts.

    Nuclear power systems: Control-rod drive mechanism, valve stems, springs and

    ducting.

    Chemical and petrochemical industries: Bolts, reaction vessels, valves, piping

    and pumps.

    4.4 NICKEL-BASE SUPER ALLOYS

    Nickel is the fifth most abundant element on earth. The atomic number is 28,

    and it in the first row of the d block of transition metals, alongside iron and cobalt. The

    atomic weight is 58.71, the weighted average of the five stable isotopes 58, 60, 61, 62

    and 64, which are found with probabilities 67.7%, 26.2%, 1.25%, 3.66% and 1.16%,

    respectively. The crystal structure is face-centred cubic from ambient conditions to the

    melting point, 1455 C, which represents an absolute limit for the temperature capability

    of the nickel-based super alloys. The density under ambient conditions is 8907 kg/m.

    Thus, compared with other metals used for aerospace applications, for example, Ti

    (4508 kg/m) and Al (2698 kg/m), Ni is rather dense. This is a consequence of a small

    interatomic distance, arising from the strong cohesion provided by the outer d electrons

    a characteristic of the transition metals.

    Nickel based super alloys are austenitic and derive their strength from

    precipitation hardening during heat treatment (solution treatment and ageing). Most of

    the alloys contain significant amounts of chromium, cobalt, aluminium and titanium.

    Small amounts of boron, zirconium and carbon are often included. Other elements that

    are added, but not to all alloys, include rhenium, tungsten, tantalum and hafnium, from

  • 9

    the 5d block of transition metals, and ruthenium, molybdenum, niobium and zirconium

    from the 4d block. Certain super alloys, such as IN718 and IN706, contain significant

    proportions of iron, and should be referred to as nickeliron super alloys. Thus, most of

    the alloying elements of nickel are taken from the d block of transition metals. To avoid

    possible crucible contamination and to obtain clean alloy, these are melted in vacuum

    induction or arc furnace. Boron and iridium are added to increase rupture life. These

    alloys are very important in industries because of their wide varieties of severe

    operating conditions and corroding environments, high temperature, high stress and

    combination of these cases.

    4.4.1 PROPERTIES

    I. Physical properties:

    a) FCC lattice structure till the melting point lattice constant= 0.31567nm at

    20C.

    b) Density at 25C 8.902gm/cc and at melting point= 7099gm/cc.

    c) Boiling point= 2730C.

    II. Thermal properties:

    a) Co-efficient of thermal expansion= 13.3 m/Mk at 0 to 100C.

    b) Recrystallization temperature= 370C.

    c) Thermal conductivity= 82.9w/m at 100C.

    III. Electrical properties:

    a) Electrical resistance of pure nickel is negligible at extremely low

    temperature but increases with increase in temperature, = 68.4.

    IV. Magnetic properties:

    a) It is one of the three metals that are highly ferromagnetic.

    b) max= 1240 at B= 1900G.

    c) corelic force 167A/m at H= 4.

    d) Saturation magnetisation= 0.616T at 20C.

    e) Residual induction= 0.0300T.

  • 10

    V. Mechanical properties:

    a) Tensile strength= 317Mpa.

    b) O.2% offset yield strength= 53Mpa.

    c) Elongation in 50mm= 30%.

    d) Hardness value= 64HV for annealed high purity nickel.

    4.5 INCONEL-625

    INCONEL nickel-chromium alloy 625 (UNSN06625/W.Nr. 2.4856) is used

    for its high strength, excellent fabricability (including joining), and outstanding

    corrosion resistance. Strength of INCONEL alloy 625 is derived from the stiffening

    effect of molybdenum and niobium on its nickel-chromium matrix; thus precipitation

    hardening treatments are not required. This combination of elements also is responsible

    for superior resistance to a wide range of corrosive environments of unusual severity as

    well as to high-temperature effects such as oxidation and carburization.

    Alloy 625 is a nonmagnetic, corrosion and oxidation resistant alloy. Its

    outstanding strength and toughness in the temperature range cryogenic to 2000F are

    derived primarily from the solid solution effects of the refractory metals, columbium

    and molybdenum, in a nickel chromium matrix. The alloy has excellent fatigue strength

    and stress corrosion cracking resistance to chloride iron.

    The outstanding and versatile corrosion resistance of INCONEL alloy 625 under

    a wide range of temperatures and pressures is a primary reason for its wide acceptance

    in the chemical processing field. Because of its ease of fabrication, it is made into a

    variety of components for plant equipment. Its high strength enables it to be used, for

    example, in thinner-walled vessels or tubing than possible with other materials, thus

    improving heat transfer and saving weight. Some applications requiring the combination

    of strength and corrosion resistance offered by INCONEL alloy 625 are bubble caps,

    tubing, reaction vessels, distillation columns, heat exchangers, transfer piping, and

    valves.

  • 11

    4.5.1 Chemical composition

    TABLE 4.1 Chemical composition of INCONEL 625

    COMPOSITION WEIGHT% COMPOSITION WEIGHT%

    Nickel 58 min carbon 0.10

    Chromium 20 min- 23 max manganese 0.50

    Molybdenum 8 min- 10 max silicon 0.50

    Iron 5 phosphorous 0.015

    Niobium+ tantalum 3.15 min- 4.15max sulphur 0.40

    Titanium 0.40 cobalt 1.0

    4.5.2 Properties of Inconel 625

    a) Physical constants and thermal properties

    TABLE 4.2 Physical constants and thermal properties of INCONEL 625

    Density 8.44g/cm

    Melting range 1290C to 1350C

    Coefficient of expansion(20-100C) 12.8m/mC

    Thermal conductivity(at 38C) 10.1w/mC

    Electrical resistivity (at 38C) 130-cm

    Specific heat(at 21C) 410 J/kgC

    Permeability at 200 oersted 1.0006

    Curie temperature -196C

  • 12

    b) Mechanical properties of annealed Inconel 625

    TABLE 4.3 Mechanical properties of INCONEL 625

    Tensile strength 827-1034Mpa

    Yield strength 414-655Mpa

    Elongation 60-30%

    Reduction of area 60-40%

    Hardness brinell 145-220

    Modulus of elasticity 205.8kN/mm

    Modulus of rigidity 79kN/mm

    c) Aqueous Corrosion

    The high alloy content enables it to withstand a wide variety of severe

    corrosive environments like the atmosphere, fresh and sea water, neutral salts,

    and alkaline media. Combination of nickel and chromium provides resistance to

    oxidizing chemicals, whereas the high nickel and molybdenum contents supply

    resistance to non-oxidizing environments, pitting and crevice corrosion, and

    niobium prevents intergranular cracking.

    d) High temperature oxidation resistance

    It has good resistance to oxidation and scaling at high temperature. It has

    the ability to retain a protective oxide coating under drastic cyclic conditions.

    e) Workability

    i. Hot working:

    It may be done at 1149C maximum furnace temperature. It

    becomes very stiff below 1010C so that it may be reheated. Uniform

    reductions are recommended to avoid the formation of a duplex grain

    structure.

    ii. Cold forming:

    Alloy 625 can be cold formed by standard methods. When the

    material becomes too stiff annealing can be done for retaining ductility.

  • 13

    iii. Machinability:

    Low cutting speeds. Rigid tool and workpiece, heavy equipment,

    ample coolant and positive feeds are general recommendations.

    iv. Weldability:

    Welding can be done by gas shielded processes using a tungsten

    electrode or a consumable electrode. Post weld heat treatment of the

    weld are not necessary to maintain corrosion resistance.

    4.5.3 Motives behind the use in aerospace

    INCONEL 625 super alloy provides higher strength to width ratio compared to

    steels. The use of Inconel 625 in such aggressive environments hinges on the face that it

    maintains high resistance to corrosion, mechanical & thermal fatique, thermal shock and

    creep at elevated temperature. Most of the aerospace parts requires high temperature

    resistant metals to withstand high temperature as used in reusable launch vehicle. This

    property makes it most preferable in aerospace industry.

    4.5.4 Applications

    Aerospace Components: bellows and expansion joints, ducting systems, jet

    engine exhaust systems, engine thrust-reversers, turbine shroud rings, aircraft

    ducting systems, resistance-welded honeycomb structures for housing engine

    controls, fuel and hydraulic line tubing, spray bars, heat exchanger tubing in

    environmental control systems, combustion system transition liners, turbine

    seals, compressor vanes, and thrust-chamber tubing for rocket motors.

    Air Pollution Control: chimney liners, dampers, flue gas desulfurization (FGD)

    components.

    Chemical Processing: equipment handling both oxidizing and reducing acids,

    super-phosphoric acid production.

    Sea water applications (Marine Service): steam line bellows, Navy ship

    exhaust systems, submarine auxiliary propulsion systems, wire rope for mooring

    cables, propeller blades for motor patrol gunboats, submarine quick-disconnect

    fittings, sheathing for undersea communication cables, submarine transducer

    controls.

  • 14

    Nuclear Industry: reactor core and control rod components, waste reprocessing

    equipment.

    Offshore Oil and Gas Production: waste flare gas stacks, piping systems, riser

    sheathing, sour gas piping and tubing.

    Petroleum Refining: waste flare gas stacks.

    Waste Treatment: waste incineration components.

    4.5.5 Advantages

    High strength to width ratio.

    Excellent fabricability (including joining), and outstanding corrosion resistance.

    Resistance to chloride-ion stress-corrosion cracking.

    High tensile, creep, and rupture strength; outstanding fatigue and thermal-fatigue

    strength and excellent weldability and brazeability.

    Resistance to post weld age cracking.

    High temperature resistance.

    Age hardening with unique properties of slow aging response that permits

    heating and cooling during annealing without danger of cracking.

  • 15

    CHAPTER 5

    MACHINING AND ITS ASPECTS IN HRSA

    5.1 MACHINABILITY

    Machinability is defined as the ease with which material can be removed from a

    metal. The most machinable metal is the one which will permit the fastest removal of

    the largest amount of material per grind of tool with satisfactory finish. Machining is

    any of the various processes in which a piece of raw material is cut into a desired final

    shape and size by a controlled material removal process. Machining is influence by

    machine variables, tool variables, cutting conditions, work material variables.

    Different factors affecting the machinability of metals are the type of the work

    piece, type of tool material, size and shape of tool, type of machining operation, size,

    shape and velocity of cut, type and quality of machine used, quality of lubricant used

    during machining operation, coefficient of friction between chip and tool.

    Machinability index gives a quantitative measurement of machinability. It is

    used to compare the machinability of different material. Machinability index of free

    cutting steel is taken as 100. It is expressed as ratio of cutting speed of material for 20

    min tool life to cutting speed of standard steel for 20 min tool life.

    5.2 MACHINABILITY ASSESSMENT

    Machinability of a material may be assessed by one or more of the following

    criteria:

    1) Tool life for a given cutting speed and tool geometry.

    2) Ratio of material removal.

    3) Magnitude of cutting forces.

    4) Quality of surface finish.

    5) Dimensional stability of finished work.

    6) Heat generated during cutting.

    7) Ease of chip disposal.

    8) Chip hardness.

    9) Shape and size of chip.

    10) Power consumption per unit volume of material removed.

  • 16

    5.3 MACHINING DIFFICULTY OF INCONEL 625

    INCONEL 625 is often referred to as difficult to cut material. These materials

    now a days causing greater challenges for manufacturing engineers. The high pressure

    produced during machining causes a hardening effect which prevents further machining.

    The main challenges in machining Inconel 625 are as follows

    The high strength of Inconel 625 at cutting temperatures causes high cutting forces,

    generates more heat at the tool tip and limits their speed capability.

    The presence of hard, abrasive intermetallic compounds and carbides in these alloys

    causes severe abrasive wear on the tool tip.

    The high capacity for work hardening in Inconel 625 causes depth-of-cut notching

    on the tool, which can lead to burr formation on the work piece.

    The chip produced during machining is tough and continuous, therefore requiring

    acceptable chip breaker geometry.

    High-Temperature Alloys have a low thermal conductivity, meaning heat generated

    during machining is neither transferred to the chip nor the work piece, but is heavily

    concentrated in the cutting edge area.

    These temperatures can be as high as 1100C to 1300C, and can cause crater wear

    and severe plastic deformation of the cutting tool edge, thereby increasing the

    cutting forces.

    The chemical reactivity of these alloys facilitates formation of Built Up Edge

    (BUE) and coating delamination, leading to poor tool life.

    Heat generated during machining can alter the alloy microstructure, potentially

    inducing residual stress that can degrade the fatigue life of the component.

    Difficulty of machining will shortens tool life and reduces surface finish of the

    metal. Extreme care must be taken to ensure the surface integrity of the component

    during machining. Most of the major parameters includes the choice of tool life and

    coating materials, tool geometry, machining methods, cutting speed, feed rate, depth of

    cut, lubrication must be controlled in order to achieve better surface finish.

  • 17

    CHAPTER 6

    MILLING AND ITS ASPECTS IN HRSA

    6.1 MILLING

    Milling is the most important form of machining, a material removal process,

    which can create a variety of features on a part by cutting away the unwanted material.

    It is the process of cutting away material by feeding a work piece past a rotating

    multiple tooth cutter. The cutting action of many teeth around the milling cutter

    provides the fastest method of cutting. The milling process requires a milling machine,

    work piece, fixture and cutter. The work piece is a piece of pre-shaped material that is

    secured to the fixture, which itself is attached to the platform inside the milling

    machine. The cutter is a cutting tool with sharp teeth that is also secured in the milling

    machine and rotates at high speeds. By feeding the work piece into the rotating cutter,

    material is cut away from the work piece in the form of small chips to create the desired

    shape.

    Slab milling is one of the most widely used material cutting operation. In slot

    milling we will get 100% tool engagement so it can be used as a method of optimisation

    of machining parameters.

    6.2 TYPES OF MILLING OPERATIONS

    A. On the basis of rotational direction of cutter

    Table 6.1 Classification based on direction of rotation of cutter

    TYPES DESCRIPTION

    Up milling In this case movement of cutter teeth is

    opposite to the direction of feed motion.

    Down milling In this case direction of cutter motion is

    the same as that of direction of feed

    motion.

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    B. On the basis of application

    Table 6.2 Classification based on application

    TYPES DESCRIPTION

    Slab milling In this the cutter width extends beyond

    the work piece on both the sides

    Slot milling It is used to make slot in the work piece.

    Straddle milling In this cutting takes place simultaneously

    on both sides of the work piece.

    Conventional Face milling In this milling cutter remains overhanging

    on both sides of the work piece.

    Partial face milling In this case the milling cutter overhangs

    only to one side of the work piece.

    End milling In this thin cutter are used as compared to

    work piece width.

    Profile milling It cover multi-axis milling of convex and

    concave shapes in two and three

    dimensions.

    Pocket milling This is a selective portion milling on the

    flat surface of work piece used to make

    shallow packets there.

  • 19

    6.3 GENERAL ASPECTS IN HRSA MILLING

    Milling of high temperature alloys often requires more rigid and powerful

    equipment than the milling of carbon steel.

    Cutter accuracy in both radial and axial direction is essential to maintain a constant

    tooth load and a smooth operation and to prevent premature failure of individual

    cutting teeth.

    Cutting edge must be sharp with an optimised edge-rounding, to prevent chip

    adherence at the point where the edge exits the cut.

    The number of cutting teeth actually in cut during the milling cycle must be as high

    as possible. This will give good productivity provided that the stability is good

    enough.

    Cutting speeds for super alloys are generally low. Common practice is to employ a

    fairly low cutting speed in combination with a moderately high feed per tooth, to

    produce a chip thickness not less than 0.1mm which prevents work hardening of the

    material.

    Coolant should be applied in generous quantities around the cutting edge when the

    cutting speeds are low, inorder to reduce chip adhesion. Coolant supplied through

    the machine tool spindle is recommended for HRSA materials. High pressure

    coolant (HPC) will give better tool life.

    Down milling (climb milling) should be used, to obtain the smallest chip thickness

    where the edge exits cut and reduce any chip adherence.

    6.4 CUTTING TOOL MATERIALS USED FOR MACHINING

    In machining Ni-based super alloys tooling related technologies are treated

    seriously. The appropriate consideration for these technologies can lead to optimum

    production output, consistency of machined product and value added activities. Inorder

    to produce good quality and economic parts a cutting tool must have

    Good wear resistance & High hot hardness

    High strength and toughness

    Good thermal shock properties.

    Adequate chemical stability at elevated temperatures.

  • 20

    1. Cemented carbide tool :

    Carbide tools are the oldest amongst the hard cutting tool materials.

    These tools are used to machine Ni based super alloys in the range of 10-

    30m/min. these materials are composed of carbide of tungsten, titanium,

    tantalum, or some combination of these sintered or cemented in a matrix binder

    usually cobalt. The carbide tools can be of two types:

    a) Uncoated carbide tools :

    The uncoated cemented carbides are commonly used at lower cutting

    speeds in the range of 10-30m/min and it gives better performance than that

    of coated carbide tools in the lower speed range

    b) Coated carbide tools:

    Coatings improves the performance of the carbide tools. Coatings are

    hard materials and therefore provides a good abrasion resistance. The good

    lubricating properties of coating minimize the friction at the tool-chip and

    tool-work piece interfaces, thus lowering the cutting temperatures. By using

    these cutting tools high speeds can be achieved. Both PVD and CVD coated

    carbides are employed. Typical coating materials used includes TiC, TiN,

    TiAlN, TiCN, TiZrN and diamond coatings. Multi coated carbide perform

    better, in terms of tool life than that of single layer coated carbides. TiAlN

    coating is the best for machining Inconel 625.

    2. Ceramic tools:

    Ceramics are non-metallic materials. The application of ceramic cutting

    tool is limited because of their extreme brittleness. The transverse rupture

    strength is very low. This means that they will fracture easily when making

    heavy interrupted cuts. However the strength of ceramics under compression is

    much higher than HSS and carbide tools. Proper tool geometry and edge

    preparation play an important role in the application of ceramic tools and help to

    overcome their weakness. Some of the advantages of ceramic tools are

    High strength for light cuts on very hard work materials.

    Extremely high resistance to abrasive wear and crater wear.

    Capability of running at high speeds.

    Extremely high hot hardness and Low thermal conductivity.

  • 21

    3. CUBIC BORON NITRIDE

    CBN is the hardest material available after diamond, and doesnt occur in

    nature. The synthesis of polycrystalline CBN is composed of about 50-90% of

    CBN and ceramic binders such as titanium carbide and titanium nitride. A high

    CBN content is better in cutting super alloy. Higher CBN content was better

    because of their hardness. The hardness increases almost linearly with the CBN

    content. Compared to ceramics, CBN has a better hardness and resistance to

    fracture but poor chemical resistance. These are recommended to machine

    Inconel 625 in a speed range of 120-240m/min.

    6.5 MILLING PARAMETERS

    There are three major cutting parameters to be controlled in any milling operation.

    These three parameters are cutting speed, feed rate and depth of cut. By optimising

    these parameters better results can be obtained in milling Inconel 625. These parameters

    are described below:

    1. Cutting velocity

    Cutting speed of a milling cutter is its peripheral linear speed resulting from

    operation. It is expressed in m/min. The cutting speed can be derived from the

    below formula. Spindle speed of the milling machine is selected to give the desired

    peripheral speed of the cutter.

    V= 1000 (6.1)

    Where, V= linear cutting speed in m/min

    d= diameter of milling cutter in mm

    n= cutter speed in rev/min

    2. Feed rate

    It is the rate with which the work piece under process advances under the

    revolving milling cutter. It is known that revolving cutter remains stationary and

    feed is given to the work piece through worktable. Generally feed is expressed in

    three ways:

  • 22

    a Feed per tooth(t)

    It is the distance travelled by the work piece between engagements by the

    two successive teeth expressed as mm/tooth.

    b Feed per revolution(rev)

    Travel of work piece during one revolution of milling cutter expressed as

    mm/rev.

    c Feed per unit of time(m)

    It is the distance advances by the work piece in unit time expressed as

    feed/min or feed/sec.

    Above described three feed rates are mutually convertible:

    m=n*rev=z*n*t (6.2)

    Where, n= rpm of the cutter

    z= number of teeth in the milling cutter

    3. Depth of cut

    Depth of cut in milling operation is the measure of penetration of cutter into the

    work piece. It is the thickness of the material removed in one pairs of the cutter

    under process. One pairs of cutter means when the cutter completes the milling

    operation from one end of the work piece to the other end. In other words it is the

    perpendicular distance measured between the original and final surface of work

    piece measure in mm.

    4. Material removal rate(MRR)

    It is the volume of the metal removed in unit time.

    MRR= ()

    (min) (6.3)

  • 23

    CHAPTER 7

    METHODOLOGY

    7.1 PROJECT DESCRIPTION

    RPFF (rocket payload fabrication facility) is a section of VSSC where machining

    of different aerospace parts are done. Presently machining is carried out on parts for

    reusable launching vehicle. Inconel 625 is widely used in different parts in many

    aerospace application. Inconel 625 has wide application in reusable launching vehicles

    because of the property to withstand high temperature. Inconel 625 is very difficult to

    machine and as all aerospace parts should have high surface quality, better machining

    possibilities should be investigated. This project investigates in optimising the

    machining parameters of slot milling of Inconel 625 super alloy to have better surface

    quality and less production time which could be benefited for milling operations.

  • 24

    7.2 SCOPE OF THE PROJECT

    LITERATURE SURVEY

    SELECTION OF MATERIAL

    SELECTION OF TOOL INSERT

    MACHINING

    PROCESS

    OPTIMISATION

    TECHNIQUE

    SELECTION OF

    SPEED, FEED &

    DEPTH OF CUT

    TAGUCHI BASED

    GREY

    RELATIONAL

    ANALYSIS

    CNC MILLING OPTIMISATION

    ANOVA

    CONCLUSION

    RESULT

  • 25

    7.3 WORK PIECE MATERIAL

    The work piece material used in the machining test was Inconel 625. Three

    samples of Inconel 625 each of length 160mm, width 53mm, and thickness 40mm were

    taken for the experiment.

    7.4 CUTTING CONDITIONS

    Cutting condition is created by appropriate selection of cutting parameter values

    corresponding to cutting speed, feed, axial and radial depth of cut. The ranges of cutting

    parameters are determined using Sandvik coromant tool catalogue. In this study slot

    milling operation is carried out. In slot milling operation 100% cutter engagement is

    possible. Therefore we can assess the conditions on any engagement from the result

    obtained from the experiment. The milling operation is carried out in a wet condition. A

    6% soluble oil through coolant system at 1 bar pressure and 12 litre/minute flow rate.

    7.5 CUTTING TOOL

    The cutting tool used in the machining test was Sandvik bull nose end mill cutter

    (25mm diameter, 2 flute) with a PVD coated cemented carbide insert. The insert used

    was PVD coated cemented carbide round insert (S30T grade). It has high edge strength

    and bulk toughness. It has well resistant to micro chipping and keeps the cutting edge

    line intact longer. The grade focuses on high performance at elevated cutting speed.

  • 26

    Specification of Cutting tool and tool insert

    Table 7.1 Specification of cutting tool and tool insert

    Cutting tool Bull nose end mill cutter

    Insert holder Seco tools

    Insert RCKT10T3MO-PM

    Insert engagement 100%

    Insert grade YBG302

    Chip breaker Through type

    Insert grade description nc-TiAlN nano PVD

    coating on high

    toughness carbide, a

    Nano Coating grade

    Insert work piece

    material

    P25-P40, M25-M40

    Specification of tool and tool holder

    Table 7.2 Specification of tool and tool holder

    Tool diameter 25mm

    Tool holder KENAMETAL ISOBT50

    Holder taper BT50

    Made Kennel metal

    7.6 MACHINE TOOL

    The machine tool used in the cutting test was Jyoti EXF 1680 which is a three

    axis CNC machine. The machine configuration is of fixed bed moving column and its

    spindle is delivering a maximum torque of 472-712Nm depending upon the load

    condition. With its high torque motor and gearbox the table size of machine is

    2000mm*800mm and its working volume is 1600mm*800mm*800mm. the machine is

    installed with Siemens 840D-SL controller with updated machining cycles. This

    machine complies with VDI/DGQ 3447 standard and maintain its positional uncertainty

  • 27

    within 0.001mm and repeatability within 0.005mm. shopmill software is installed in the

    machine.

    7.7 PROCEDURE

    The experiment was conducted as per the details in Jyoti CNC machine. Nine

    experiments are done according to taguchi method in three sample (three experiments

    on each sample). The samples were fixed properly by suitable mechanical clamping.

    Correct values of spindle speed, feed and depth of cut was provided on the program

    software in the CNC machine. After attaining all the precautions experiment was

    started. Time for cutting each slot was noted by using a stop watch. The machined

    surface of nine samples were inspected for surface roughnes (Ra) using Talysurf

    measuring instrument. Material removal rate is used as another performance parameter

    to evaluate the machining performance. Material removal rate is expressed as the

    amount of material removed under a period of machining time and is expressed as

    mm/min. experimental setup is shown in the figure.

    Fig 7.1 Experimental setup

  • 28

    CHAPTER 8

    DESIGN OF EXPERIMENT

    8.1 PLAN OF EXPERIMENT

    Dr Genichi Taguchi is a Japanese quality management consultant who has

    developed and promoted a philosophy and methodology for continuous quality

    improvement in product and process. The methodology of Taguchi which combine the

    experiment design theory and the quality loss function concept have been used in

    developing robust designs of products and processes.

    The degrees of freedom for three parameters in each of three levels were

    calculated as follows:

    Degree of Freedom (DOF) = number of levels -1

    For each factor, DOF equal to:

    For (Vc); DOF = 3 1 = 2

    For (f); DOF = 3 1 = 2

    For (d); DOF = 3 1 = 2

    In this project nine experiments were conducted at different parameters. For this

    Taguchi L9 orthogonal array was used, which has nine rows corresponding to the

    number of tests, with three columns at three levels. L9 orthogonal array has eight DOF,

    in which 6 were assigned to three factors (each one 2 DOF) and 2 DOF was assigned to

    the error. For the purpose of observing the degree of influence of the process parameters

    in machining. The process parameters and their levels are given in the table below:

    Table 8.1 Process parameters and their levels

    PARAMETERS UNIT LEVEL1 LEVEL 2 LEVEL3

    Cutting velocity m/min 30 35 40

    Feed rate Mm/tooth 0.1 0.15 0.2

    Depth of cut mm 1 2 3

  • 29

    8.2 TAGUCHI EXPERIMENTAL RESULT

    By using Taguchi plan of experiment and by using the procedures explained in

    the previous chapters 9 experiments were conducted 3 on each samples (total 3

    samples). The figure showing the slots prepared is shown below:

    Fig 8.1 Slots prepared on the samples

  • 30

    In this work, L9 Orthogonal Array design matrix is used to set the control

    parameters to evaluate the process performance. The design matrix used in this work

    and the corresponding results of surface roughness and material removal rate are shown

    in the table below.

    Table 8.2 Results obtained from the experiment

    EXP NO PARAMETER COMBINATIONS SURFACE

    ROUGHNESS

    (microns)

    MRR

    (mm/s) V f d

    1 1 1 1 0.3084 17.09

    2 1 2 2 0.4161 55.06

    3 1 3 3 1.5312 42.97

    4 2 1 2 0.4290 35.33

    5 2 2 3 0.5277 96.36

    6 2 3 1 0.5110 42.4

    7 3 1 3 0.2659 49.68

    8 3 2 1 0.4773 27.17

    9 3 3 2 0.7504 84.8

    8.3 OPTIMISATION OF MACHINING PARAMETERS

    In this project optimisation of machining parameters are done by using two

    statistical tools. They are Grey relational analysis and Analysis of variance. Each

    methods are discussed in detail in the following sections.

    8.3.1 GREY RELATIONAL ANALYSIS (GRA)

    The grey relational analysis (GRA) associated with the Taguchi method

    represents a rather new approach to optimisation developed by Deng in 1989. The grey

    theory is based on the random uncertainty of small samples which develop into an

    evaluation technique to solve certain problems of system that are complex and having

    incomplete information. The grey relational analysis (GRA) is one of the powerful and

    effective soft-tool to analyse various processes having multiple performance

    characteristics.

  • 31

    8.3.1.1 Steps in GRA

    1. Normalization of experimental results in GRA

    Data pre-processing is normally required, since the range and unit in one data

    sequence may differ from others. It is also necessary when the directions of the

    target in the sequences are different. Normalization is the process in which

    transformation of input data takes place to an evenly distributed data in a scale

    range between 0 and 1. In this project a linear normalization of the raw data for

    surface roughness and MRR were performed in the range between 0 and 1 which is

    also called grey relational generation.

    Normalization of Ra

    Surface roughness values should be minimised to 0. So we take smaller

    the better equation for normalising the Ra values.

    x(k) = max ()()

    max ()min () (8.1)

    where, yi(k) value after grey relational generation

    min yi(k) smallest value of yi(k) for the kth response

    max yi(k) largest value of yi(k) for the kth response

    Normalization of MRR

    Normalization of MRR is based on larger the better criterion because

    MRR should be maximised.

    xj(k)= ()min ()

    max ()min () (8.2)

    Where yi(k) value after grey relational generation

    min yi(k) smallest value of yi(k) for the kth response

    max yi(k) largest value of yi(k) for the kth response

  • 32

    2. Grey relational coefficient

    Based on normalized experimental data, grey relational coefficient is

    calculated to represent the correlation between the desired and actual

    experimental data.

    (k)= min + max

    + (8.3)

    Where i difference between absolute value x(k)and xi(k)

    distinguishing coefficient 0

  • 33

    The below table shows the normalized value, grey relational coefficient

    and grey relational grade for each experiment. Higher grey relational

    coefficient better the product quality.

    Table 8.3 Table for calculating grey relational grade

    EXP

    NO

    NORMALIZED

    VALUES

    GREY

    COEFFICIENT

    GREY GRADE

    SR MRR SR MRR GREY

    GRADE

    RANK

    1 0.9665 0.0000 0.9372 0.3333 0.6352 5

    2 0.8813 0.4790 0.8081 0.4897 0.6489 4

    3 0.0000 0.3265 0.3333 0.4261 0.3797 9

    4 0.8711 0.2301 0.7950 0.3937 0.5944 6

    5 0.7931 1.0000 0.7073 1.0000 0.8537 1

    6 0.8063 0.3193 0.7208 0.4235 0.5722 7

    7 1.0000 0.4111 1.0000 0.4592 0.7296 2

    8 0.8329 0.1272 0.7495 0.3642 0.5569 8

    9 0.6171 0.8542 0.5663 0.7742 0.6703 3

    4. Find out the response table for grey relational grade

    The mean of the grey relational grade for each level of parameter and the total

    mean of the grey relational grade for the 9 experiments were calculated and

    tabulated as shown below:

    Table 8.4 Response table for grey relational grade

    PROCESS

    PARAMETERS

    GREY RELATIONAL GRADE

    LEVEL 1 LEVEL 2 LEVEL 3 MAX-

    MIN

    RANK

    Cutting velocity 0.5546 0.6734* 0.6523 0.1188 2

    Feed rate 0.6531 0.6865* 0.5407 0.1458 1

    Depth of cut 0.5881 0.6379 0.6543* 0.0662 3

    Total mean value of grey grade = 0.6268

    *Optimum levels

  • 34

    8.3.2 ANALYSIS OF VARIANCE (ANOVA)

    The purpose of analysis of variance (ANOVA) is to investigate which of the

    process parameters significantly affect the performance characteristics. This is

    accomplished by separating the total variability of the grey relational grades, which is

    measured by the sum of the squared deviation from the total mean of the grey relational

    grade into contributions by each machining parameter and the error. The analysis of

    variance (ANOVA) test establishes the relative significance of the individual factors

    and their interaction effects.

    The total sum of squared deviation SSt= total sum of squared deviation by each

    parameters (SSf) + sum of squared deviation by error (SSe)

    8.3.2.1 Steps for ANOVA calculations

    1. Calculate degrees of freedom of each parameters (DF)

    It is a measure of the amount of information that can be uniquely determined

    from a given set of data. DOF for data concerning a factor equals one less than the

    number of levels .The degrees of freedom for three parameters in each of three

    levels were calculated as follows:

    Degree of Freedom (DOF) = number of levels-1 (8.5)

    2. Calculate the sum of squares of each parameters (SS)

    Sum of squares of each parameters is given by

    Sum of squares due to factor A= [(no: of experiments at level A)*(mA-m) ] +

    [(no: of experiments at level A2)*(mA2-m) ] +

    [(no: of experiments at level A)*(mA-m) ](8.6)

    Sum of squares of error SSe= SSt-SSf (8.7)

  • 35

    3. Variance for each factors (MS)

    It measures the distribution of the data about the mean of the data .Variance of

    each factor is given by

    Variance for each factor=

    (8.8)

    4. F ratio of each factor (F)

    It is the ratio of variance due to the effect of a factor and variance due to the

    error term. This ratio is used to measure the significance of the factor under

    investigation on the performance characteristics with respect to the variance of all

    the factors included in the error term.

    F ratio for each factor=

    (8.9)

    5. Contribution of each factors (C)

    It is obtained by dividing the sum of square of the factor by total sum of square

    and multiplied by 100. It is denoted by C and can be calculated using the following

    equation:

    Contribution of each parameters=

    *100. (8.10)

    Table 8.5 Results of ANOVA

    Source DOF SS MS F % C

    Vc 2 0.0241 0.01205 0.3532 17.93

    f 2 0.0350 0.0175 0.513 26.03

    d 2 0.007131 0.003566 0.1045 5.30

    Error 2 0.06821 0.03411 50.736

    Total 2 0.13444 100

  • 36

    8.4 CONFIRMATION EXPERIMENT

    After evaluating the optimal parameter settings, the next step is to predict and verify

    enhancement of the quality characteristics using optimal parametric combination. The

    estimated grey relational grade

    =m+ (i-m) (8.11)

    Where m= total mean grey relational grade

    i=mean grey relational grade at the optimum level

    Fig 8.2 Specimen with confirmation slot

  • 37

    Table 8.6 Results of confirmation experiment

    Initial machining

    parameter

    Optimal machining parameters

    prediction Experiment

    Setting level Vfd Vfd Vfd

    Surface roughness 0.5277 0.562

    MRR 96.36 100.64

    Grey grade 0.8537 0.7606

    Improvement in

    grey grade

    0.0931

  • 38

    CHAPTER 9

    CALCULATIONS

    9.1 CALCULATION FOR TABLE 8.1

    All the values in the table 8.1 are chosen from the catalogue book of Sandvick

    coromant.

    9.2 CALCULATION FOR TABLE 8.2(SET NO:1)

    Average response values

    1. Surface roughness

    Surface roughness values are obtained from talysurf measuring instrument.

    For set no: 1 Ra= 0.3044/0.3123

    Average Ra= 0.3044+0.3123

    2 = 0.3084microns (9.1)

    2. Material removal rate

    Material removal rate is obtained by calculating the volume of metal removed

    from the specimen and the time taken for preparing the slot.

    Length of the slot=53mm

    Breadth of the slot=25mm

    Height of the slot=1mm

    Time taken=77.53s

    Volume= length of the slot*breadth of the slot*height

    = 53*25*1

    =1325mm

    MRR= 1325

    77.53 = 17.09mm/s (9.2)

  • 39

    9.3 CALCULATION FOR TABLE 8.3(SET NO: 1)

    1. Normalized values

    a Surface roughness

    x(k) = max ()()

    max ()min () (9.3)

    max yi(k)=1.5312microns

    min yi(k)=0.2652microns

    yi(k)=0.30835microns

    x1=1.53120.30835

    1.53120.2652=0.9665

    b Material removal rate

    x(k)= ()min ()

    max ()min () (9.4)

    min yi(k)=17.09mm/s

    max yi(k)=96.36mm/s

    yi(k)=17.09

    x1=17.0917.09

    96.3617.09=0.0000

    2. Grey relational coefficients

    a Surface roughness

    (k)= min + max

    + (9.5)

  • 40

    Consider the following table

    Table 9.1 Table for calculating values

    SLNO 1- NORMALIZED Ra 1-NORMALIZED MRR

    1 1-0.9665=0.0335 1-0.0000=1.0000

    2 0.1187 0.5210

    3 1.0000 0.6735

    4 0.1289 0.7699

    5 0.2069 0.0000

    6 0.1937 0.6807

    7 0.0000 0.5889

    8 0.1671 0.8728

    9 0.3829 0.1458

    From above table,

    min=0.0000

    max=1.0000

    =0.5 (assume)

    i=0.0335 (respective values from the above table)

    1=0+(0.51)

    0.0335+(0.51)=0.9372

    b Material removal rate

    Considering the same above equation and table

    min=0.0000

    max=1.0000

    =0.5

    i=1.0000

    1=0+(0.51)

    1.0000+(0.51)=0.3333

    3. Grey relational grade

    a Grey grade

    1=0.9372

    2=0.3333

  • 41

    n=2

    =1

    () (9.6)

    =0.9372+0.3333

    2

    =0.6353

    b Rank

    Ranks are provided according to the decreasing order of grey grades for

    all experiments. 1st rank corresponds to highest value of grey grade among 9

    values.

    9.4 CALCULATIONS FOR TABLE 8.4 (PARAMETER: Vc)

    a Level 1

    Consider Taguchis parameter combination, in that level 1 of cutting speed is

    used in 1, 2 and 3rd experiment. Take the average value of grey grades of the 3

    experiment.

    Level 1=0.6353+0.6489+0.3797

    3=0.5546

    b Level 2

    Level 2 of cutting speed is used in 4, 5 and 6th experiment. Take the average

    value of grey grades of the 3 experiment.

    Level 2=0.5944+0.8537+0.5722

    3=0.6734

    c Level 3

    Level 3 of cutting speed is used in 7, 8 and 9th experiment. Take the average

    value of grey grades of the 3 experiment.

    Level 3=0.7296+0.5569+0.6703

    3=0.6523

  • 42

    d Max-Min

    Max=0.6734

    Min=0.5546

    Max-Min=0.6734-0.5546=0.1188

    e Rank

    Ranks are provided according to the decreasing order of Max-Min values for each

    parameter.

    f Mean value of grey relational grade

    Mean=0.6353+0.6489+0.3797+0.5944+0.8537+0.5722+0.7296+0.5569+0.6703

    9=0.6268

    9.5 CALCULATIONS FOR TABLE 8.5 (SOURCE: Vc)

    a Degree of freedom (DOF)

    Degree of Freedom (DOF) = number of levels -1 (9.7)

    = 3 1 = 2.

    b Sum of squares (SS)

    Sum of squares due to factor A= [(no: of experiments at level A)*(mA-m) ] +

    [(no: of experiments at level A2)*(mA2-m) ]+

    [(no: of experiments at level A)*(mA-m) ]. (9.8)

    = [3*(0.5546-0.6268)2] + [3*(0.6734-0.6268)2] +

    [3*(0.6523-0.6268)

    =0.0241

    Where mA1= respective values of Vc from response table

    m= mean value of grey grade

    no: of experiments at each level=3

    c Variance of each factor (MS)

    Variance for each factor=

    (9.9)

    =0.0241

    2 =0.01205

  • 43

    d F ratio

    F ratio for each factor=

    . (9.10)

    =0.01205

    0.03411

    =0.35

    e % contribution

    Contribution of each parameters=

    *100. (9.11)

    =0.0241100

    0.13444

    =17.93%

    9.6 CALCULATIONS FOR TABLE 8.6

    Optimum value of grey relational grade

    = m+ (i-m) (9.12)

    =0.6268+ [(0.6734-0.6268) + (0.6865-0.6268) + (0.6543-0.6268)]

    =0.7606.

    Improvement in grey grade=0.8537-0.7606

    =0.0931.

  • 44

    CHAPTER 10

    RESULT

    The nine experiments were conducted on 3 samples (3 experiments on each sample)

    according to Taguchi L9 combination set.

    The minimum surface roughness was 0.2659microns and corresponding material

    removal rate was 49.68mm/min.

    The maximum surface roughness was 1.5312microns and the corresponding

    material removal rate was 42.97mm/min.

    According to grey relational analysis, the optimum value of machining parameter is

    found out to be set 223. i.e. Vc=35m/min, f=0.15mm/tooth and d=3mm.

    From analysis of variance, most significant parameter is feed rate with highest

    contribution on performance characteristics followed by cutting velocity and depth

    of cut.

    The confirmation experiment was done after optimising the parameters using

    Taguchi based grey relational analysis.

    Optimised result gave a surface roughness value of 0.562microns and corresponding

    material removal rate was 100.64mm/min.

  • 45

    CHAPTER 10

    CONCLUSION

    It has been established that Taguchi based grey relational analysis is an effective

    optimisation tool for determining the optimum machining parameters for machining of

    Inconel 625 super alloy in slot milling . It has been found that according to grey

    relational analysis, the optimum value of machining parameter are Vc=35m/min,

    f=0.15mm/tooth and d=3mm. After comparing the confirmation result it has been found

    that there is an increase in material removal rate. Analysis of variance shows that feed

    rate is the most significant machining parameters followed by cutting velocity and depth

    of cut.

  • 46

    REFERENCE

    1. Basim A. Khidhir, Bashir Mohamed Machining of nickel based alloys using

    different cemented carbide tools.

    2. I.A Choudhury, M.A El-Baradie Machinability of nickel-base super alloys:

    general review.

    3. Lohithaksha M. Maiyar, R. Ramanujam Dr, K. Venkatesan, J. Jerald, Optimization

    of Machining Parameters for end Milling of Inconel 718 Super Alloy Using Taguchi

    based Grey Relational Analysis

    4. Vani Shankar, K Bhanu Sankara Rao, S.L Mannan Microstructure and mechanical

    properties of Inconel 625 superalloy

    5. Yigit Kazancoglu, Ugur Esme, Melih Bayramo glu, Onur Guven, Sueda Ozgun

    Multi-objective optimisation of the cutting forces in turning operation using grey-

    based taguchi method.