MODELLING AND ANALYSIS OF A SPUR GEAR IN A SUGARCANE JUICER.pptx

7/22/2019 MODELLING AND ANALYSIS OF A SPUR GEAR IN A SUGARCANE JUICER.pptx

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GROUP MEMBERS: GUIDPROF. TONY VARGHESE.

ABEY THACHIL (REGNO:10002621)DEPT.MECHANICAL ENGG.

ROHIN K VARGHESE (REGNO:10002690) AJCE

KARTHIK P R (REGNO:10002669)PHILIP THOMAS (REGNO:10002685)

MODELLING AND ANALYSIS OF A

SPUR GEAR FOR A SUGARCANE

JUICER UNDER STATIC LOAD

CONDITION



OBJECTIVES

• To study about spur gears used in a sugar cane juicer.

• To develop and to determine bending stresses usingconventional methods.

• To determine the stresses using ANSYS and comparingresults with conventional method

• To generate the profile of spur gear teeth and to predict effect of gear bending using a three dimensional model compare the results with those of the Lewis equation.

• To compare the accuracy of results obtained is ANSYS varying mesh density.

• To do a feasibility analysis on other materials that can bused for making spur gear in this operation.

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METHODOLOGY

DESIGN ANDMODELLING

NUMERICAL ANALYSIS(using

conventionalmethods)

MODELLING (byusing CATIA andPRO-E)

STATIC ANALYSISusing ANSY

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COMPARISON OF

RESULTS



FEEDBACK OF ZEROTH REVIEW

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BASIC CONCEPTS OF SPURGEAR

•Module

•Face width

•Tooth thickness

• Addendum

•Dedendum

•Pressure angle

•Whole depth

•Fillet radius

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Specifications of the sugarcane juicer motor:

Power (P)=1500W=1.5KW Speed of the motor (N)=1400rpm

FIELD STUDY

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DESIGN PROCEDURE FOR SPUGEAR

•Tangential tooth load have to be calculated from powertransmitted and pitch line velocity.

•By applying Lewis equation the beam strength have tocalculated.

•The dynamic load is calculated using Buckingham’sequation.

• The static load is calculated from Lewis equation bysubstituting σ by σ.

•The wear tooth load is calculated.11/12/2013



THEORETICALCALCULATIONS•Power of the motor (P)=1500W=1.5KW•Speed of the motor (N)=1400rpm

•Power (P) = 2*π*N*T /60

1500 = (2*π*1400*T) /60

•Torque (T) = (1500*60)/(2*π*1400)

T=10.2314 N-m ;T=10231.4 N-mm

T= F*(d/2)

F= T/(d/2)

F= 10231.4/(54/2)

F= 378.94 N Where F is the Tangential load11/12/2013



• Using Lewis equation

Tangential load F =σ*y*Pc*b

378.94= σ*0.1034*(π*3)*16.2

σ = 378.94 / (0.1034*(π*3)*16.2

σ = 24 N/2

Where, σ is the allowable stress

y is the Lewis form factorPc (Circular pitch) = π * module=π*3=9.43mm

b is the face width of the gear

d is the pitch circle diameter of the gear

The Maximum allowable stress as per the design of the d

gear, σ = 24 N/2

Allowable stress of Cast iron (high grade) = Ultimate tens

= 320 / 3 = 106.67 N/2 > 24 N/2

Allowable stress of Nylon = = Ultimate tensile strength / 3

= 69/3 = 23 N/2 > 24 N/2 11/12/2013



Geometric details of desired spur gear: • Module (m) = 3 mm

• Addendum = 1 module =3 mm• Dedendum = 1.157*module =1.157*3=3.471mm

• Pressure angle (α ) = 20 degrees

• Tooth thickness(t) =1.571 * module =1.571*3=4.713mm

• Whole depth = 2.25 * module =2.25*3=6.75mm

• Face width(b) = 5.4 * module =5.4*3=16.2mm• Fillet radius = 3.9 * module=3.9*3=11.7mm

• No of teeth(z) =18

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• Number of teeth on the pinion gear in order to avoid inte

SYSTEMS OF GEARTEETH

MINIUM NUMBER OFTEETH

141/2˚ COMPOSITE 12

141/2˚ FULL DEPTH

INVOLUTE

32

20˚ FULL DEPTH

INVOLUTE

18

20˚ SNUB INVOLUTE 20

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Calculation of gear tooth proportions:

• Pitch circle diameter (p.c.d)= z*m *

= 18*3 = 54mm

• Base circle diameter (Db)= D Cos α = 54Cos20 = 50.74mm• Out circle diameter = ( Z+2)*m = (18+2)*3 = 60 mm

• Clearance = Circular pitch/20 = 9.43/20 = .4715mm

• Dedendum =Addendum+ clearance = 3+.4715 =3.4715mm

• Module =D/z =54/18 = 3mm.

• Dedendum circle diameter = p.c.d–2*dedendum= 54- 2*3.4715 = 47.705 mm.

• Fillet radius = circular pitch/8 = 9.43/8 = 1.178 mm

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• Hole depth = 2.25 * m = 2.25*3 = 6.75mm

• Face width (b) = Ψ*a = 0.3*54=16.2mm

Where ,a is the centre distance between two gears =

(54+54)/2=54mm and assume Ψ = 0.3

• Diametric pitch = Number of teeth/ P.C.D = 18 /54 = 0.33m

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3-DIMENSIONAL FIGURE OFSPUR GEAR USING CATIA

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SCHEDULE OF WORK

ACTIVITY TIMEBasic study about spur gear Completed in last week of August

2013.

Basic study about FEM Completed in first week of Septem

2013.

Material selection for spur gear Completed in second week of

September 2013.

Numerical analysis of the spur gear Completed in mid October 2013.

Modelling of spur gear Completed in second last week of

October 2013.

Static analysis of spur gear To be completed before February

2014.

Feasibility study about other materials To be completed before February11/12/2013



11/12/2013

THANK YOU

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MODELLING AND ANALYSIS OF A SPUR GEAR IN A SUGARCANE JUICER.pptx