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Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears.pdf

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Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears.pdf

Mechanism and Machine Theory 96 (2016) 127–145 Contents lists available at ScienceDirect Mechanism and Machine Theory journal homepage: /locate/mechmt Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears Houjun Chen ?, Xiaoping Zhang, Xiong Cai, Zhilan Ju, Chang Qu, Donghe Shi School of Mechanical Engineering, Nantong University, Nantong 226019, PR China article info Article history: Received 14 April 2015 Received in revised form 8 July 2015 Accepted 19 August 2015 Available online 11 November 2015 Keywords: Wildhaber–Novikov gear Crossed-axis transmission Tooth contact analysis abstract The authors proposed an approach for computerized simulation of meshing and contact of misaligned hyperboloidal-type normal circular-arc gears (HNCGs). According to local conjugate theory, the point-contact design method for HNCGs was presented, and the equations of pinion-gear tooth surfaces were deduced. Using the moving frame method, the errors and the variations were quanti?ed, and the error-variation equations were established. Based on Hertz contact hypothesis, the contact region of pinion-gear teeth was determined, and the computerized simulation program for tooth contact was developed. By the visualization of 3D- and 2D-contact regions, the in?uence of misalignment errors on the shift of the bearing contact has been explored. Numerical examples that illustrate the developed theory were provided. ? 2015 Elsevier Ltd. All rights reserved. 1. Introduction Wildhaber recommended helical gears with circular-arc tooth pro?le in an US patent [1], and Novikov realized this gear by the hobs in the gear manufacturing industry [2]. Though there is a signi?cant difference between the above inventors ideas, it was ?nally uni?ed and named as Wildhaber–Novikov gear (for short W–N gear) at an international gearing conference held at Essen of Germany. W–N gear became very popular in the 1960s, and many researchers in USSR, Japa