DETERMINATION OF OPTIMUM MESH SIZE TO MEASURE TOOTH ROOT STRESS OF SPUR GEAR USING FINITE ELEMENT ANALYSIS

Abstract

Gears are one of the most important power transmission elements. High speed gear and gear which has high loading capacity are necessary for engineering applications. Gears should be analyzed theoretically according to design criteria and tested. Theoretical analysis is generally performed by using finite element methods through simulating gears. In this study, spur gears at definite module and teeth number are modelled by Catia. They are analyzed by using SimXpert and Marc softwares for different loads on pitch circle. Tooth root bending stress values are recorded after analysis. Meshing, mesh size selection and mesh type are one of important steps for FEM. Different meshes (fine and coarse) are used for tooth root and other regions of gear profiles in this study. At tooth root, different mesh sizes are experienced and tooth root stress values are obtained. These values are compared with analytical calculation results to state optimal mesh size.

Keywords

• Finite Element Analysis
• Spur Gears
• Mesh Size
• Tooth Root Stress

References

1. B.Sahin, (2014), “Development of a user friendly interface software for design and analysis of paralel axes external gears including quasi-static transmission error calculations”, Master thesis, University of Gaziantep, Gaziantep, Turkey.
2. International Organization for Standardization (2006), Calculation of load capasity of spur and helical gears - Part3: Calculation of tooth bending strenght, ISO 6336-3, International Organization for Standardization, Geneva.
3. MSC Softwares, Cantilevered Plate, http://www.mscsoftware.com/exercisemodules/cantilevered-plate [viewed 20 December 2015].
4. MSC Softwares, Linear Analysis of a Cantilever Beam, http://www.mscsoftware.com/exercisemodules/cantilevered-plate [viewed 10 March 2016].
5. O.Uctu, (2015), “Design and Construction of a Parallel Axes Gear Research Test Rig”, Master thesis, University of Gaziantep, Gaziantep, Turkey.
6. P.B. Pawara, Abhay A. Utpatb, (2015), “Analysis of Composite Material Spur Gear Under Static Loading Condition”, 4th International Conference on Materials Processing and Characterzation, Volume 2, Issues 4–5, Pages 2968–2974, India
7. V. Suresh Babu, A. A. Tsegaw, (2009) “Involute Spur Gear Template Development by Parametric Technique Using Computer Aided”, An International Multi-Disciplinary Journal, Vol. 3 (2), Pp. 415-429, Ethiopia.
8. Zaigang Chena, Wanming Zhaia, Yimin Shaob, Kaiyun Wanga, Guohua Sunc, (2016), “Analytical Model for Mesh Stiffness Calculation of Spur Gear Pair with Non-Uniformly Distributed Tooth Root Crack”, Engineering Failure Analysis, ISSN: 1350-6307, Republic of China