Papers on non Hertz contact gear design

There are a lot of literatures about EHL Analysis of gear transmission, but the research on the combination of EHL and gear strength design is very few.

Xiong Wenxiu et al. Optimized the gear transmission according to the contact strength, bending strength and EHL requirements, and took the minimum center distance as the objective function; Qian Xueyi et al. Took the minimum film thickness between teeth and the minimum total volume of gear transmission as the objective function, and carried out the gluing strength optimization design of asymmetric gears according to particle swarm optimization algorithm.

In 2005, Chen Haizhen and others put forward the gear active tribology design method, which coupled the Elastohydrodynamic film thickness formula with the traditional strength design formula, so that the gear transmission system can not only meet the strength requirements, but also meet the lubrication requirements. Xue Heng and Wei Haijing have done similar work. However, under EHL condition, the contact between tooth surfaces is a non Hertz contact. The contact stress distribution between meshing tooth surfaces is completely different from Hertz stress distribution. Chen Haizhen’s active tribology design method combines the Elastohydrodynamic film thickness formula and Hertz stress distribution The coupling of the gear contact strength design formula of contact theory, that is, “wet” EHL theory and “dry” Hertz contact theory, is not self consistent in theory.

In 2016, Zhang Xinlei and Xia boqian proposed a central pressure fitting formula under Line Contact EHL condition. In this paper, based on the formula, we use EHL stress instead of Hertz stress to design gear contact strength, and coupled with Dowson’s minimum film thickness formula, we propose a new non Hertz which is theoretically consistent and meets both strength and lubrication requirements Contact gear design theory and method, and through a large number of examples to verify the new theory. The results show that the non Hertz gear design theory and method can be used in practical engineering design, especially for high-speed and heavy-duty gear design.

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