Abstract

Gears are one of the most critical elements in power transmission because it plays a significant role in the industry. Spur gear is used to transmit power and rotary motion between parallel shafts. It is one of the simplest types of the gears. Surface failure of the gear tooth is a pitting when contact stress is exceeding the strength of the material to surface fatigue. This paper studies the contact stresses in the contact zone among the spur gear pairs by using finite element method under static conditions. Contact stress among the gear tooth pair’s engagement determines the facility of the gear to transmit the power without harm. The contact stress in gears has played an important role for last years, but an extensive research is still required to understand the several parameters affecting this stress. Among these parameters, the most important factors affecting the surface contact stress are; number of teeth, module and face width. In the present study, the contact stress in spur gear is calculated by changing one of these parameters and keeping remaining constant to obtain the influence of each parameter on contact stress separately based on AGMA's equations and finite element method (FEM). A computer program is used to build up the gears by using homemade software and SolidWorks. The results of the FEM analyses from MSC Software (MARC) are presented. These results are compared with the theoretical results (AGMA’s equations). The contact stress achieved by FEM is lower than the obtained results by AGMA's equations and the corresponding percent difference detected are about 8 %. The results of the contact stress analysis specify that increasing the values of geometrical parameters (number of teeth, module and face width) lead to decrease in the tooth contact stress.

Highlights

  • Pitting failure of the gear tooth occurs due to misalignment, wrong viscosity oil selection, and contact stress exceeding the yield strength of the material

  • The results show that the difference between maximum contact stresses obtained from Hertz equation and Finite Element Analysis is acceptable and it is very low

  • Based on this study of five different gear pairs, the following results can be concluded: 1. The finite element method (FEM) gear model is verified with AGMA equations

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Summary

Introduction

Pitting failure of the gear tooth occurs due to misalignment, wrong viscosity oil selection, and contact stress exceeding the yield strength of the material. The material in the failure region gets removed, and a pit is formed. Higher impact load occurring from pitting may cause fracture of the already weakened tooth. The performance and life of the gear teeth are directly related to the strength of the teeth to withstand contact stresses. The gear analysis is crucial against the pitting failure. Contact stress may cause pitting on the tooth; the contact stress must be within the allowable limits. In order to explain the behavior of the contact stress, the stress analysis needs to be carried out. Among the main influencing factors; the geometric profile of the tooth (number of teeth, modules and face width) can be discussed

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