A new iterative method for calculating the time-varying meshing stiffness of orthogonal face gear pairs

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-01-27 DOI:10.1016/j.mechmachtheory.2025.105938

Shuai Mo , Wenhao Song , Yingxin Zhang , Yuansheng Zhou , Bowei Yao , Haruo Houjoh , Wei Zhang

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Abstract

Time-varying meshing stiffness (TVMS) plays a critical part in the dynamic analysis of gear systems. This paper introduces a new iterative method for calculating the TVMS of orthogonal face gear pairs. Initially, the tooth surface equations are derived based on the shaping process. A contact coordinate system for the gear pair is subsequently established. The initial values for the equations are determined through a traversal search method, which facilitates the calculation of contact ellipse parameters and the load distribution function across the tooth surface. Subsequently, the surfaces are further analyzed by slicing along the radial direction and tooth profile. Using the potential energy method, the deflection of an equivalent cantilever beam under working conditions is derived. Load distribution coefficients are iteratively assigned and refined, with the TVMS recalculated until convergence criteria are satisfied. Finally, a case study examines the effects of pressure angle and external loads on the calculated results. The proposed model is validated through finite element analysis, demonstrating its accuracy and reliability.

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来源期刊

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry