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International Journal of Modern Trends in Engineering and Research www.ijmter.com e-ISSN No.:2349-9745, Date: 28-30 April, 2016 @IJMTER-2016, All rights Reserved 1102 FEA of Titanium Helical Gear Set Vinaykumar C. Jadhav 1 Rahulkumar M. Sonar 2 , Santosh D. Sancheti 3 1 Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad, [email protected] 2 Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad, [email protected] 3 Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad [email protected] Abstract- The main focusing areas of this analysis are to Modelling the gear without losing its geometry in Pro/engineer software. To analyze and compare the various stresses, strain and safety factors of the model of helical gears made of Titanium alloy using FEM tool ANSYS. Generate the profile of helical gear teeth model to calculate the effect of gear bending using three-dimensional model and compare the results. Performing parametric study to study the effect of varying load on the various stresses, strains on the helical gear model. Keywords- Helical Gear, FEM, Titanium, stress, strain, directional deformation, gear bending. I. INTRODUCTION There have been so many research works by so many researchers in the system of gear. Still there is an approach, which is able to determine the deviation in the geometry of helical gear like contact and bending stresses.[1] The main focusing area in helical gears is the dynamic load, noise level during operation, weight, and size that should be lighter and small accordingly. [2] Such type of gears fails at the root of the teeth because of lower bending strength and due to the action of pitting which can be controlled by implementing the correct method for analysis and the modification of the different gear geometry parameters. [3]In view of this approach, the main objective of this analysis is to develop model of helical gear set in meshing and to evaluate the effect of various stresses on gear tooth. The main objective of this analysis is as follow: 1) Modelling the 3D model of gear set in Pro/engineer workbench. 2) Evaluation and analysis of the various stresses, strain and factors of safety of helical gear set made of Titanium using FEM tool ANSYS. 3) Generate the helical gear set model to calculate the effect of gear bending in teeth, 4) To study the effect of varying load ranging from 1 KN to 10 KN on the various stresses, strains on the Helical gear set.

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Page 1: FEA of Titanium Helical Gear Set - · PDF fileFEA of Titanium Helical Gear Set ... works by so many researchers in the system of gear. ... Life Analysis of Helical Gear sets using

International Journal of Modern Trends in Engineering and Research

www.ijmter.com e-ISSN No.:2349-9745, Date: 28-30 April, 2016

@IJMTER-2016, All rights Reserved 1102

FEA of Titanium Helical Gear Set Vinaykumar C. Jadhav1 Rahulkumar M. Sonar2, Santosh D. Sancheti3

1Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad, [email protected] 2Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad, [email protected]

3Department of Mechanical Engineering, S.N.J.B’s KBJ COE, Chandwad [email protected]

Abstract- The main focusing areas of this analysis are to Modelling the gear without losing its geometry in Pro/engineer software. To analyze and compare the various stresses, strain and safety factors of the model of helical gears made of Titanium alloy using FEM tool ANSYS. Generate the profile of helical gear teeth model to calculate the effect of gear bending using three-dimensional model and compare the results. Performing parametric study to study the effect of varying load on the various stresses, strains on the helical gear model. Keywords- Helical Gear, FEM, Titanium, stress, strain, directional deformation, gear bending.

I. INTRODUCTION There have been so many research works by so many researchers in the system of gear. Still there is an approach, which is able to determine the deviation in the geometry of helical gear like contact and bending stresses.[1] The main focusing area in helical gears is the dynamic load, noise level during operation, weight, and size that should be lighter and small accordingly. [2] Such type of gears fails at the root of the teeth because of lower bending strength and due to the action of pitting which can be controlled by implementing the correct method for analysis and the modification of the different gear geometry parameters. [3]In view of this approach, the main objective of this analysis is to develop model of helical gear set in meshing and to evaluate the effect of various stresses on gear tooth. The main objective of this analysis is as follow:

1) Modelling the 3D model of gear set in Pro/engineer workbench.

2) Evaluation and analysis of the various stresses, strain and factors of safety of helical gear set made of Titanium using FEM tool ANSYS.

3) Generate the helical gear set model to calculate the effect of gear bending in teeth,

4) To study the effect of varying load ranging from 1 KN to 10 KN on the various stresses, strains on the Helical gear set.

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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II. SOLID MODELING AND FEM PAKAGES 2.1 Geometrical Parameter and Material Properties For generating the solution here ANSYS is used to perform the analysis. Steps used for obtaining the solution using ANSYS 14.0

1. The geometry of the gear is imported from 3D modeling workbench Pro/Engineer, in IGES format.

2. The element type and materials properties are specified. 3. Next is Meshing. 4. The boundary conditions are applied. 5. The solution is obtained on the basis of input parameters. 6. Finally, the solution is obtained in which is evaluate to obtained results.

2.1 Geometrical Parameters of the Helical Gear

Table.1 Key Specifications of Geometrical Parameters of the Helical Gear

2.2 Material Properties

Table 2.ASME, Section II, Part D Material Properties

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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III. FINITE ELEMENT FORMULATION

For the representation of element here three-dimensional eight-nodded solid element is chosen which is from hexahedral family. The three dimensional eight nodded solid element as shown in Figure.1 has eight nodes which are located at each of the corners and has three translational degree of freedom for each of the node. 3.1 Three-dimensional eight nodded solid element

Figure.1 Cartesian coordinate system 3.2 Modeling of Helical Gear

Figure.2 Imported model of Helical Gear set in ANSYS 14 from Pro/E 3.3 Boundary Conditions

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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As the wheel and pinion is in mesh the contact type analysis is selected in ANSYS. Contact type analysis is a Non- linear type analysis. Among the types of contact available in the ANSYS module, the rough contact is selected as power is transmitted due to friction between wheel and pinion. As the contact is rough between wheel and pinion the contact surface behaves like spring for such types of contact ‘Pure Penalty Method’ is chosen from ANSYS module. 3.4 Meshing

Figure.3 Mesh 3D Model of Helical Gear Set

IV. ANALYSIS AND RESULT 4.1 Deformation, Stress, Strain, Safety Factor Analysis

Figure.4 Total Deformation Figure.5 Directional Deformation (x-Axis)

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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Figure.6 Equivalent Elastic Strain Figure.7 Shear Elastic Strain (XY Plane)

Figure. 8 Strain Energ Figure.9 Equivalent Stress

Figure.10 Shear Stress Figure.11 Stress Intensity

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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Figure.12 Safety Factor

Table.3 Analysis Result of Titanium Helical Gear Set 4.2 Deformation, Stress, Strain, Safety Factor Analysis at Varying Load (1KN- 10KN)

Figure.13 Graphical Representation of Total Deformation

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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Figure.14 Graphical Representation of Directional Deformation

Figure.15 Graphical Representation of Equivalent Von-Mises Stresses

Figure.16 Graphical Representation of Shear Stresses

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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Figure.17 Graphical Representation of Maximum Principle Stresses

V. CONCLUSION AND FUTURE WORK 1. At varying load the stresses developed in a Titanium gear set are higher. 2. In case of various strain same thing observed. 3. Failure by Pitting that takes place on surface of the gear tooth will be diminish by improving the

material hardness. 4. Maximum bending stress can be minimizing by increasing face width. 5. If material strength value is have the prime importance then a gear with larger face width of any

required helix angle can select. Analysis of bending and contact stresses for all types of gears by three dimensional numerical method can be possible. Same FEA analysis can be conducted on the whole gearbox to evaluate mode of failure. The bending and contact stress analysis is possible on the gears which are of composite materials by using three-dimensional FEA.

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International Journal of Modern Trends in Engineering and Research (IJMTER) Volume 3, Issue 4, [April 2016] Special Issue of ICRTET’2016

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[8] Jianfeng L., Mingtain, X., and Shouyou, W., Finite Element Analysis of Instantaneous Mesh Stiffness of Cylindrical Gears (with and without flexible Gear body), Communication in numerical methods Engineering, 15, pp.579-587,1999.

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