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Numerical and experimental investigation of a spur gear pair with unloaded static transmission error

Duncai Lei (State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, China and College of Mechanical and Electrical Engineering, Central South University, Changsha, China)
Xiannian Kong (State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, China and College of Mechanical and Electrical Engineering, Central South University, Changsha, China)
Siyu Chen (State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, China and College of Mechanical and Electrical Engineering, Central South University, Changsha, China)
Jinyuan Tang (State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, China and College of Mechanical and Electrical Engineering, Central South University, Changsha, China)
Zehua Hu (State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, China and College of Mechanical and Electrical Engineering, Central South University, Changsha, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 11 November 2020

Issue publication date: 9 July 2021

326

Abstract

Purpose

The purpose of this paper is to investigate the dynamic responses of a spur gear pair with unloaded static transmission error (STE) excitation numerically and experimentally and the influences of the system factors including mesh stiffness, error excitation and torque on the dynamic transmission error (DTE).

Design/methodology/approach

A simple lumped parameters dynamic model of a gear pair considering time-varying mesh stiffness, backlash and unloaded STE excitation is developed. The STE is calculated from the measured tooth profile deviation under the unloaded condition. A four-square gear test rig is designed to measure and analyze the DTE and vibration responses of the gear pair. The dynamic responses of the gear transmission are studied numerically and experimentally.

Findings

The predicted numerical DTE matches well with the experimental results. When the real unloaded STE excitation without any approximation is used, the dynamic response is dominated by the mesh frequency and its high order harmonic components, which may not be result caused by the assembling error. The sub-harmonic and super-harmonic resonant behaviors are excited because of the high order harmonic components of STE. It will not certainly prevent the separations of mesh teeth when the gear pair is under the condition of high speed and heavy load.

Originality/value

This study helps to improve the modeling method of the dynamic analysis of spur gear transmission and provide some reference for the understanding of the influence of mesh stiffness, STE excitation and system torque on the vibration behaviors.

Keywords

Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC) through Grants No. 52005515, 51475475. The authors also gratefully acknowledge the supports of the National Key Research and Development Program of China (Grant No. 2018YFB2001300) and National Science and Technology Major Project (2017-VII-0003–0096).

Citation

Lei, D., Kong, X., Chen, S., Tang, J. and Hu, Z. (2021), "Numerical and experimental investigation of a spur gear pair with unloaded static transmission error", Engineering Computations, Vol. 38 No. 6, pp. 2461-2480. https://doi.org/10.1108/EC-02-2020-0072

Publisher

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Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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