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Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects
Affiliation:1. Mechanical Engineering Department, School of Engineering, Indian Institute of Technology, Indore, India;2. Mechanical Engineering Department, SGSITS, Indore, India;1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning 110819, PR China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi''an 710049, PR China;1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, People''s Republic of China;2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030, People''s Republic of China;3. Department of Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, OH 45221-0072, USA
Abstract:Spalling is one of the common tooth surface failures of gear teeth and is defined as the formation of deeper cavities that are mainly developed from subsurface defects. The time varying mesh stiffness (TVMS) of gear pairs, gives significant information about the health of the system. The change indirection of time varying friction on both sides of the pitch line causes the change of gear mesh stiffness. This article proposes a computer simulation based approach to study the effect of time varying friction coefficient on the total effective mesh stiffness for the spur gear pair. An analytical method to calculate the TVMS of the spur gear for different spall shapes, size and location considering sliding friction is also proposed in this study. The results show that spall shape, size and location are very important parameters that need to be considered for calculation of TVMS and subsequently to know the dynamic response of the gear pair in the presence of a spall.
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