Development and validation of a semi-analytical timoshenko-based model for resonance analysis in lightweight gear systems

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-02-14 DOI:10.1016/j.jsv.2025.119001

Tiancheng Li , Jinyuan Tang , Zehua Hu , Ding Zhang

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引用次数: 0

Abstract

Lightweight thin-web gears are preferable in the aviation transmission field. However, the thin-web structure will also lead to in plane or out-of-plane resonance because of the high compliance. To describe the mechanism of resonance in the analytical method remains changeling. To address that, this paper proposed a semi-analytical elastic gear pair model based on the Timoshenko theory. Utilizing the Hamiltonian principle, the analytical model for a compliant gear pair consisting of six degrees of freedom is established and employing the numerical discretization method: the Galerkin method, vibration mode and dynamic responses are derived. A comparison among the Timoshenko, Euler-Bernoulli, and finite element models has been conducted, revealing that the Timoshenko model possesses higher precision in mode shape prediction. Also, the limitation of this model in wide gear analysis is discussed and the scope of the model is declared. Lastly, travelling wave vibrations are unveiled in dynamic response analysis, which has never been observed in a rigid body model. This explains the mechanism of the occurrence of the resonance phenomenon.

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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.