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“FATIGUE ANALYSIS OF A HELICAL GEAR USED IN MARINE APPLICATIONS”
Author-1NELAGONDARASHI CHANDRA SHEKAR M.Tech
Assistant Professor
Dept:(Mechanical Engineering)
Email: [email protected]
Mobile: 9701916138
Sri Indu Institute of engineering & Technology,
Sheriguda, Hyderabad.
Author-2 MANDA SANDEEPM.Tech
Assistant Professor
Dept :(Mechanical Engineering)
Email:[email protected]
Mobile:9494924307
Sri Indu Institute of engineering & Technology,
Sheriguda, Hyderabad.
Author-3:Dr I. SATYANARAYANA
Professor, principal
M-Tech(IIT-KGP), Ph.D., MIE, MISHMT
Email Id: [email protected]
Mobile:9502997013
Sri Indu Institute of engineering & Technology,
Sheriguda, Hyderabad.
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:55
FATIGUE ANALYSIS OF A HELICAL GEAR USED IN MARINE
APPLICATIONS
ABSTRACT
Gear is a machine element used to transmit motion and power between rotating shafts by means of progressive engagement of
projections called teeth. Generally gear transmits motion or power between rotating shafts when the centre between two shafts is
comparatively low.
In helical gears, the leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle. Since the gear is
curved, this angling causes the tooth shape to be a segment.. The bending and surface strength of the gear tooth are considered to
be one of the main contributors for the failure of the gear in a gear set
The aim of the project is to design a helical gear for marine applications .the design is done on 3d modeling CATIA V5
software.
Structural analysis and Fatigue analysis are done using three materials Nickel Chromium Alloy steel , Aluminum Alloy A360
and titanium . Structural analysis is done to validate the strength. Fatigue is the progressive and localized structural damage that
occurs when a material is subjected to cyclic loading. The nominal maximum stress values are less than the ultimate tensile
stress limit, and may be below the yield stress limit of the material.
The analysis is done on ANSYS software.
INTRODUCTION TO GEARS
Gears are one of the most critical components in
mechanical power transmission systems. The bending
and surface strength of the gear tooth are considered to
be one of the main contributors for the failure of the gear
in a gear set. Understanding of their behaviour becomes
essential to design and implement them effectively.
Thus, analysis of stresses has become popular as an area
of research on gears to minimize or to reduce the failures
and for optimal design of gears. This thesis investigates
the characteristics of involutes helical gear system
mainly focused on bending and contact stresses using
analytical and finite element analysis. A rigid multibody
model is required to be simulated. The model consists of
a helical gear pair where Gear contact is characterized by
an angle-varying mesh stiffness and a backlash which
can lead to loss of the contact. Angle-varying mesh
stiffness shall be calculated using a finite element model.
CLASSIFICATIONS OF GEARS
SPUR GEAR
Spur gears have their teeth parallel to the axis and are
used for transmitting power between two parallel shafts.
They are simple in construction, easy to manufacture
and less cost. They have highest efficiency and
excellent precision rating. They are used in high speed
and high load application in all types of trains and a
wide range of velocity ratios. Hence, they find wide
applications right from clocks, household gadgets,
motor cycles, automobiles, and railways to aircrafts
SPUR GEAR
HELICAL GEAR
Helical gears are used for parallel shaft drives. They have
teeth inclined to the axis as shown in Fig. 2 Hence for the
same width; their teeth are longer than spur gears and have
higher load carrying capacity. Their contact ratio is higher
than spur gears and they operate smoother and quieter than
spur gears. Their precision rating is good. They are
recommended for very high speeds and loads. Thus, these
gears find wide applications in automotive gearboxes.
Their efficiency is slightly lower than spur gears. The helix
angle also introduces axial thrust on the shaft.
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:56
DOUBLE HELICAL GEAR OR HERRINGBONE GEARDouble helical or Herringbone gears used for
transmitting power between two parallel shafts. They have
opposing helical teeth with or without a gap depending on
the manufacturing method adopted, Fig 3. Two axial
thrusts oppose each other and nullify. Hence the shaft is
free from any axial force. Though their load capacity is
very high, manufacturing difficulty makes them costlier
than single helical gear. Their applications are limited to
high capacity reduction drives like
that of cement mills and crusher
DOUBLE HELICAL GEARSTRAIGHT BEVEL
GEARS
Straight bevel gears are used for transmitting power between
intersecting shafts,. They can operate under high speeds and
high loads. Their precision
rating is fair to good. They
are suitable for 1:1 and higher velocity ratios and for right-
angle meshes to any other angles. Their good choice is for
right angle drive of particularly low ratios. However,
complicated both form and fabrication limits achievement of
precision. They should be located at one of the less critical
meshes of the train. Wide application of the straight bevel
drives is in automotive differentials, right angle drives of
blenders and conveyors.
SPIRAL GEARS Spiral gears are also known as crossed helical gears, They
have high helix angle and transmit power between two
nonintersecting non-parallel shafts. They have initially point
contact under the conditions of considerable sliding velocities
finally gears will have line contact. Hence, they are used for
light load and low speed application such as instruments,
sewing machine etc. The characteristics of these various gear
types are discussed in most mechanical design texts Like all
components, gears can and do fail in application. From the
above discussion meshing stiffness analysis of helical gear in
dynamic condition is very important.
SUMMARY AND EVALUATION OF GEAR TYPES
Type
Features and
Precision
Rating
Applications
Comments Regarding
Precision
Spur Parallel
Shafting.
High speeds
and loads
highest
efficiency
Precision
Rating is
excellent
Applicable to
all types of
trains and a
wide range of
velocity ratios .
Simplest tooth
elements offering
maximum precision.
First choice,
recommended for all
the gear meshes,
except where very
high speeds and loads
or special features of
other types, such as
right angle drive,
cannot be avoided.
Helical
Parallel
Shafting.
Very high
speeds and
loads.
Efficiency
slightly less
than spur
mesh.
Precision
Rating is
good
Most
applicable to
high speeds
and loads; also
used whenever
spurs are used.
Equivalent quality to
spurs, except for
complication of helix
angle. Recommended
for all high-speed and
high-load meshes.
Axial thrust
component must be
accommodated.
Bevel
Intersecting
shafts,
High speeds,
High loads.
Precision
Rating is fair
to good.
Suitable for
1:1 and higher
velocity ratios
and for right-
angle meshes
(and other
angles)
Good choice for right
angle drive,
particularly low ratios.
However complicated
both form and
fabrication limits
achievement of
precision. Should be
located at one of the
less critical meshes of
the train.
SUMMARY AND EVALUATION OF GEAR TYPES
In the evaluation of helical gear designs, certain basic gear
design performance metrics such as tooth bending Stress,
Permissible bending stress, contact stress, bending fatigue
strength, allowable surface fatigue stress, Surface strength of
gear and pinion etc. are to be carefully considered. The
effectiveness of the helical gear design Can be improved only
when all these metrics are controlled properly. Gear designers
are constantly looking for Ways to improve effectiveness
through various techniques. Despite such attempts, the control
of all these metrics and achieving the desired performance is a
very complicated task. Therefore, there is great need for
detailed study of the intricacies of helical gear design especially
for different types of gear profiles.
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:57
CROSSED HELICAL GEAR
The teeth on helical gears are cut at an angle to the face of
the gear. When two teeth on a helical gear system engage,
the contact starts at one end of the tooth and gradually
spreads as the gears rotate, until the two teeth are in full
engagement.
This gradual engagement makes helical gears operate much
more smoothly and quietly than spur gears. For this reason,
helical gears are used in almost all car transmissions.
Because of the angle of the teeth on helical gears, they
create a thrust load on the gear when they mesh. Devices
that use helical gears have bearings that can support this
thrust load.
One interesting thing about helical gears is that if the angles
of the gear teeth are correct, they can be mounted on
perpendicular shafts, adjusting the rotation angle by 90
degrees.
an attempt is made to study the performance of a
helical gear system for three different types of helical
gear systems namely single, herringbone and crossed
helical gear system. The objective of this work is to
conduct a comparative study on helical gear design
and its performance based on various performance
metrics through finite element as well as analytical
approaches. The theoretical analysis for a single
helical gear system Based on American Gear
Manufacturing Association (AGMA) a standard has
been assessed in Mat lab. The effect of Major
performance metrics of different helical gear tooth
systems such as single, The benefit of such a
comparison is quickly estimating the stress
distribution for a new design variant without carrying
out complex theoretical analysis as well as the FEA
analysis gives less scope for Manual errors while
calculating complex formulas related to theoretical
analysis of gears. It will significantly reduce
Processing time as well as enhanced flexibility in the
design performance.
The major cause of vibration and noise in a gear
system is the transmission error between the meshing
gears. By definition transmission error is the
difference between the theoretical and the actual
position between driving gear and the driven gear.
SPEED REDUCTION GEAR BOX
It can be defined also as the amount by which the ratio at
a given point in a revolution departs from the correct
ratio. For this reason, with prior knowledge of the
operating conditions of the gear set it is possible to
design the gears with minimum vibration and noise.
Mostly transmission error is due to two major causes.
The first cause is production incorrectness as well as
mounting mistake and the second one is caused by
elastic deflection at the time of loading.
Transmission error is considered as one of the
main contributor to noise and vibration in a gear system.
This suggests that the gear noise is closely related to
transmission error. If a pinion and a gear have ideal
involutes profiles running with no loading they should
theoretically run with zero transmission error. However,
when these same gears transmit torque, the joint torsion
mesh stiffness of each gear changes throughout the mesh
cycle as the teeth deflect causing variations in angular
rotation of the gear body.
Even though the transmission error is relatively
small these slight variations can cause noise at a
frequency which matches a resonance of the shafts or the
gear housing causes noise to be enhanced. This
phenomenon has been studied in order to minimize the
amount of transmission error in gears. Gearboxes of
construction vehicles and sites sustain a variety of faults
such as broken-shafts, eroded, broken, or missing teeth,
and even broken-cases because of heavy loads and harsh
working conditions. Early malfunction detection is
important to limit damage and avoid accidents. Generally,
casing mounted accelerometers are used to detect gear
faults based on vibration analysis techniques.
A gear is a rotating machine part having cut
teeth, or cogs, which mesh with another toothed part in
order to transmit torque. Two or more gears working in
tandem are called a transmission and can produce a
mechanical advantage through a gear ratio and thus may
be considered a simple machine. Geared devices can
change the speed, magnitude, and direction of a power
source. The most common situation is for a gear to mesh
with another gear, however a gear can also mesh a non-
rotating toothed part, called a rack, thereby producing
translation instead of rotation.
The gears in a transmission are analogous to the
wheels in a pulley. An advantage of gears is that the teeth of
a gear prevent slipping.
When two gears of unequal number of teeth
are combined a mechanical advantage is produced, with both
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:58
the rotational speeds and the torques of the two gears
differing in a simple relationship.In transmissions which offer
multiple gear ratios, such as bicycles and cars, the term gear,
as in first gear, refers to a gear ratio rather than an actual
physical gear. The term is used to describe similar devices
even when gear ratio is continuous rather than discrete, or
when the device does not actually contain any gears, as in a
continuously variable transmission.
The earliest known reference to gears was
circa 50 A.D. by Hero of Alexandria, but they can be
traced back to the Greek mechanics of the Alexandrian
school in the 3rd century BC and were greatly developed
by the Greek polymath Archimedes (287-212 BC).
The motion from one shaft to another
shaft may be transmitted with belts, ropes and
chains. These methods are mostly used when the two shafts
are having long center distance. But if the distance
between the two shafts is very small, then gears are used to
transmit motion from one shaft to another. In case of belts
and ropes, the drive is not positive. There is slip and creep
that reduces velocity ratio. But gear drive is a positive and
smooth drive, which transmit velocity ratio. Gears are used
in many fields and under a wide range of conditions such
as in smaller watches and instruments to the heaviest and
most powerful machineries like lifting cranes. Gears are
most commonly used for power transmission in all the
modern devices. These toothed wheels are used to change
the speed or power between two stages (input and
output). They have gained wide range of acceptance in all
kinds of applications and have been used extensively in
the high speed marine engines. In the present era of
sophisticated technology, gear design has evolved to a high
degree of perfection.
The design and manufacture of precision cut
gears, made from materials of high strength, have made
it possible to produce gears which are capable
of transmitting extremely large loads at extremely high
circumferential speeds with very little noise, vibration and
other undesirable aspects of gear drives. Helical gears
are the modified form of spur gears, in which all the teeth
are cut at a constant angle, known as helix angle, to the
axis of the gear, where as in spur gear, teeth are cut
parallel to the axis. Helical gears are also employed to
transmit power between two shafts parallel to the axis.
The following are the requirements that must be met in the
design of gear drive. The gear teeth should have
sufficient strength, so that they will not fail under static and
dynamic loading during normal running conditions.
The gear teeth should have clear characteristics sothat their
life is satisfactory, the use of space and material should
be economical. The alignment of the gears and
deflections of the Shafts must be considered, because they
affect the Performance of the gears. The lubrications of
the gears must be satisfactory.
Currently the popular standards are ISO and
AGMA. These standards vary in selected approaches as
well as models and methods resulting in different design
solutions obtained for the same gear under the same set of
working conditions. Gear transmissions affect energy
consumption during usage, vibration, noise and warranty
costs among others factors. These factors are critical in
modern competitive, manufacturing, especially in
the aviation industry which demands exceptional
operations requirements concerning high reliability and
strength, low weight and energy consumption,
low vibrations and noise. Considering their reliability and
efficiency are some of the most important factors,
problems of distributions of loads and consequently,
distribution of stresses in the whole gear transmission,
particularly in teeth of mating gears,
need to be thoroughly analyzed. Gear transmissions
are widely used in various industries and their efficiency
and reliability are critical in the final product
performance evaluation.
The motion from one shaft to another
shaft may be transmitted with belts, ropes and chains.
These methods are mostly used when the two shafts are
having long center distance. But if the distance between the
two shafts is very small, then gears are used to transmit
motion from one shaft to another. In case of belts and
ropes, the drive is not positive. There is slip and creep that
reduces velocity ratio. But gear drive is a positive and
smooth drive, which transmit velocity ratio. Gears are used
in many fields and under a wide range of conditions such
as in smaller watches and instruments to the heaviest and
most powerful machineries like lifting cranes. Gears are
most commonly used for power transmission in all the
modern devices. They have been used extensively in the
high-speed marine engines. There is a great deal of
researches on gear analysis. Generally their major concerns
are on the analysis of gear stresses, transmission errors,
dynamic loads, noise, and failure of gear tooth, which are
very useful for optimal design of gear set. They have used
various approaches and means to attain their main
objectives.
APPLICATION OF HELICAL GEARS Helical gear applied in the industries comes in diverse
weight and sizes. There are many different types of helical
gears which can be used in different places. Therefore, the
application of helical gears is diverse, and we cannot give a
specific list. We can see that mechanical industry has a
quick development. It is no doubt that the market demands
for helical gears that are used in industrial applications are
increasing.
Obviously, the application of helical gears is quite large.
For example, they can be used in fertilizer industry,
railway industry, printing industry, and earth moving
industry, etc. Except for these industries, there are also
many others where helical gears can play a rather
important role. Then, let us see a few of the applications of
helical gears.
First, the earth moving industry: in our society especially
in cities, there are always a lot of constructions. In order to
fulfil these tasks, equipment and machinery are necessary.
These equipment’s require the need of helical gears. For
instance, helical gears like spur, helical, and planetary form
an integral part of the machinery and vehicles used in the
earth moving industry.
Second, the railway industry: railways are indispensable in
our society. In railways, there is a wide range of helical
gears and helical gear equipment’s used in different
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:59
railway applications. For the special requirements of the
railways, the specialized helical gears are brought into use.
They are applied to achieve the certain purposes.
Third, the power industry:. In every process
of power generation and power transmission, helical gear
power transmission equipments have been used for a long
period of time. helical gear equipments support all
different aspects of the power generation process. helical
gear peripherals are used in different processes of power
generation, like in the gas turbine electric power
generation, coal-power electrical plants and so on.
MODES OF GEAR FAILURE
Solid Modeling It is the most perfect type of geometric model which is used
in CAD systems. It contains all the work frame and surface
geometry necessary to fully describe the edge and faces of
the model. In addition to the information related to the
geometry, it has information called topology that relates all
the geometry together. This intelligence makes operations
such a filleting and selecting an edge and also specifying a
radius.
Fully Associative A CATIA model is one which associates the drawings and
assembles it. When we Change Catia models geometry then
the models are automatically reflected in the associative
drawings and assemblies.
Constraints By which you can guarantee that design concepts such as
through holes and/or equal radii etc are captured and
maintained is called constraints. Parallel, perpendicular,
horizontal, vertical, etc know as geometrical constraint and
length, height, width, etc know as dimensional constaint.
Associativity: Associativity ensures that if any modification
is made in the model in any one of the workbenches of
CATIA V5, it is automatically reflected in the other
workbenches immediately.
International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:60
4.1 MODULES IN CATIA
Figure 1 MODEL OF HELICAL GEAR
• Sketcher
• Part Design
• Assembly Design
• Drafting
• Sheetmetal
Helical gear
Figure 2 MODEL OF HELICAL GEAR
DIFFERENT VIEWS AND DIMENSIONS OF
HELICAL GEAR
5. INTRODUCTION TO FEA
A wide range of objective functions (variables within the
system) are available for minimization or maximization:
• Mass, volume, temperature
• Strain energy, stress strain
• Force, displacement, velocity, acceleration
• Synthetic (User defined)
There are multiple loading conditions which may be
applied to a system. Some examples are shown:
• Point, pressure, thermal, gravity, and centrifugal
static loads
• Thermal loads from solution of heat transfer
analysis
• Enforced displacements
• Heat flux and convection
• Point, pressure and gravity dynamic loads
Each FEA program may come with an element
library, or one is constructed over time. Some sample
elements are:
• Rod elements
• Beam elements
• Plate/Shell/Composite elements
• Shear panel
• Solid elements
TYPES OF ENGINEERING ANALYSIS
Structural analysis consists of linear and non-linear
models. Linear models use simple parameters and assume
that the material is not plastically deformed. Non-linear
models consist of stressing the material past its elastic
capabilities. The stresses in the material then vary with the
amount of deformation as in.
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Volume VIII, Issue I, January/2019
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Vibration analysis is used to test a material against random
vibrations, shock, and impact. Each of these incidences may
act on the natural vibration frequency of the material which, in
turn, may cause resonance and subsequent failure.
Fatigueanalysis helps designers to predict the life of a
material or structure by showing the effects of cyclic loading
on the specimen. Such analysis can show the areas where crack
propagation is most likely to occur. Failure due to fatigue may
also show the damage tolerance of the material.
Heat Transfer analysis models the conductivity or thermal
fluid dynamics of the material or structure. This may consist of
a steady-state or transient transfer. Steady-state transfer refers
to constant thermo properties in the material that yield linear
heat diffusion.
5.2 RESULTS OF FINITE ELEMENT ANALYSIS
FEA has become a solution to the task of predicting
failure due to unknown stresses by showing problem areas in
a material and allowing designers to see all of the theoretical
stresses within. This method of product design and testing is
far superior to the manufacturing costs which would accrue if
each sample was actually built and tested.
In practice, a finite element analysis usually consists of three
principal steps:
1. Preprocessing: The user constructs a model of
the part to be analyzed in which the geometry is divided into a
number of discrete sub regions, or elements," connected at
discrete points called nodes." Certain of these nodes will have
fixed displacements, and others will have prescribed loads.
These models can be extremely time consuming to prepare,
and commercial codes vie with one another to have the most
user-friendly graphical “preprocessor" to assist in this rather
tedious chore. Some of these preprocessors can overlay a
mesh on a preexisting CAD file, so that finite element
analysis can be done conveniently as part of the computerized
drafting-and-design process.
2. Analysis: The dataset prepared by the preprocessor is
used as input to the finite elementcode itself, which constructs
and solves a system of linear or nonlinear algebraic equations
Kijuj = fi
Where u and f are the displacements and externally applied
forces at the nodal points. The formation of the K matrix is
dependent on the type of problem being attacked, and this
module will outline the approach for truss and linear elastic
stress analyses. Commercial codes may have very large
element libraries, with elements appropriate to a wide range
of problem types. One of FEA's principal advantages is that
many problem types can be addressed with the same code,
merely by specifying the appropriate element types from the
library.
3. Post processing: In the earlier days of finite
element analysis, the user would pore through reams of
numbers generated by the code, listing displacements and
stresses at discrete positions within the model. It is easy
to miss important trends and hot spots this way, and
modern codes use graphical displays to assist in
visualizing the results. A typical postprocessor display
overlays colored contours representing stress levels on
the model, showing a full field picture similar to that of
photo elastic or moiré experimental results.
6.1 GENERIC STEPS TO SOLVING ANY
PROBLEM IN ANSYS
Like solving any problem analytically, you need to
define (1) your solution domain, (2) the physical model, (3)
boundary conditions and (4) the physical properties. You
then solve the problem and present the results. In numerical
methods, the main difference is an extra step called mesh
generation. This is the step that divides the complex model
into small elements that become solvable in an otherwise
too complex situation. Below describes the processes in
terminology slightly more attune to the software.
Build Geometry Construct a two or three dimensional representation of
the object to be modeled and tested using the work plane
coordinate system within ANSYS.
Define Material Properties Now that the part exists, define a library of the necessary
materials that compose the object (or project) being
modeled. This includes thermal and mechanical properties.
Generate Mesh At this point ANSYS understands the makeup of the part.
Now define how the modeled system should be broken
down into finite pieces.
Apply Loads Once the system is fully designed, the last task is to burden
the system with constraints, such as physical loadings or
boundary conditions.
Obtain Solution This is actually a step, because ANSYS needs to understand
within what state (steady state, transient… etc.) the problem
must be solved.
Present the Results After the solution has been obtained, there are many ways
to present ANSYS’ results, choose from many options such
as tables, graphs, and contour plots.
6.2 SPECIFIC CAPABILITIES OF ANSYS
6.2.1STRUCTURAL Structural analysis is probably the most common
application of the finite element method as it implies
bridges and buildings, naval, aeronautical, and mechanical
structures such as ship hulls, aircraft bodies, and machine
housings, as well as mechanical components such as
pistons, machine parts, and tools.
· Static Analysis - Used to determine displacements,
stresses, etc. under static loading conditions. ANSYS can
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Volume VIII, Issue I, January/2019
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compute both linear and nonlinear static analyses.
Nonlinearities can include plasticity, stress stiffening, large
deflection, large strain, hyper elasticity, contact surfaces,
and creep.
· Transient DynamicAnalysis - Used to determine
the response of a structure to arbitrarily time-varying loads.
All nonlinearities mentioned under Static Analysis above
are allowed.
· Buckling Analysis - Used to calculate the buckling
loads and determine the buckling mode shape. Both linear
(eigenvalue) buckling and nonlinear buckling analyses are
possible.
MODAL ANALYSIS A modal analysis is typically used to determine the
vibration characteristics (natural frequencies and mode
shapes) of a structure or a machine component while it is
being designed. It can also serve as a starting point for
another, more detailed, dynamic analysis, such as a
harmonic response or full transient dynamic analysis.
Modal analyses, while being one of the most basic
dynamic analysis types available in ANSYS, can also be
more computationally time consuming than a typical static
analysis. A reduced solver, utilizing automatically or
manually selected master degrees of freedom is used to
drastically reduce the problem size and solution time.
7. STRUCTURAL ANAYLSIS OF HELICAL GEAR
7.1ANAYLSIS OF HELICAL GEAR BY
ALUMINUM ALLOY A360
Material properties:-
Density:- 8.88g/cc
Modulus of elasticity:- 207 GPA
Poisson’s ratio:- 0.31
IMPORTED MODEL FOR ALLUMINIUM ALLOY A360
MESHED MODEL FOR ALLUMINIUM ALLOY
A360
LOADS APPLIED FOR ALLUMINIUM ALLOY
A360
DEFORMATION FOR ALLUMINIUM ALLOY
A360
STRESS MODEL FOR ALLUMINIUM ALLOY
A360
7.2 STRUCTURAL ANALYSIS OF NICKEL
CHROMIUM ALLOY
Material properties
Density :- 8.88 g/cc
Modulus of elasticity :-270 Gpa
Poisons ratio :- 0.31
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Figure 3 IMPORTED MODEL FOR NICKEL
CHROMIUM ALLOY
Figure 4 MESHED MODEL FOR NICKEL
CHROMIUM ALLOY
FOR NICKEL CHROMIUM ALLOY
7.3 STRUCTURAL ANSTRUCTURAL ANALYSIS OF
TITANIUM
Material properties:-
Density:-
Modulus of elasticity:-
Poisonratio:-
DEFORMAION
IMPORTED MODEL FOR TITANIUM ALLOY
STRAIN AND STRESS FOR TITANIUM ALLOY
FATIGUE ANAYLSIS OF HELICAL GEAR
8.1FATIGUE ANALYSIS OF ALUMINUM ALLOY
360
Figure 5 MESHED MODEL FOR FATIGUE
ANALYSIS OF ALUMINIUM ALLOY 360
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LOADS APPLIED FOR FATIGUE ANALYSIS OF
ALUMINIUM ALLOY 360
LIFE SPAN OF FATIGUE ANALYSIS FOR
ALUMINIUM ALLOY 360
SAFETY FAACTOR OF FATIGUE ANALYSIS
FOR ALUMINIUM ALLOY 360
8.2 FATIGUE ANALYSIS OF NICKEL
CHROMIUM ALLOY STEEL
IMPORTED MODEL FOR FATIGUE ANALYSIS
OF NICKEL CHROMIUM ALLOY STEEL
MESHED MODEL FOR FATIGUE ANALYSIS OF
NICKEL CHROMIUM ALLOY STEEL
LIFE FOR FATIGUE ANALYSIS OF NICKEL
CHROMIUM ALLOY STEEL
Safety factor
SAFETY FACTOR FOR FATIGUE ANALYSIS OF
NICKEL CHROMIUM ALLOY STEEL
8.3 FATIGUE ANALYSIS OF TITANIUM
IMPORTED MODEL FOR FATIGUE
ANALYSIS OF TITANIUM
LOADS FOR FATIGUE ANALYSIS OF NICKEL
TITANIUM
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LIFE SPAN FOR FATIGUE ANALYSIS OF
TITANIUM
Figure 6 SAFETY FACTOR FOR FATIGUE
ANALYSIS OF TITANIUM
9. CONCLUSION
Gears almost always produce a change in
torque, creating a mechanical advantage, through
their gear ratio, and thus may be considered a simple
machine. The angled teeth engage more gradually than
do spur gear teeth, causing them to run more smoothly
and quietly With parallel helical gears, each pair of teeth
first make contact at a single point at one side of the gear
wheel; a moving curve of contact then grows gradually
across the tooth face to a maximum then recedes until the
teeth break contact at a single point on the opposite side.
In this project we designed component on catia
v5software . we done here analysis for the gear by
choosing three materials aluminum alloy 360,nickel
chromium alloy and titanium .to find the maximum
stresses we done structural analysis .By taking structural
values we have done fatigue analysis to find life of the
component .
In observing the three material stress value is
occur in nickel chromium alloy is we can use but in
aluminum alloy 360 we observed value and the stress
value is minimum on it. So we can say aluminum is
preferable. In fatigue analysis the three materials values
as near to it, so we can use any of the material to
maintain minimum life and safety factor of the
component
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International Journal of Research
Volume VIII, Issue I, January/2019
ISSN NO:2236-6124
Page No:66