Investigation on nonlinear vibration of a gear transmission system considering time-varying mesh stiffness and time-varying supporting stiffness

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-01-20 DOI:10.1016/j.jsv.2025.118957

F.L. Liao , J.L. Huang , W.D. Zhu

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引用次数: 0

Abstract

Nonlinear vibration of a gear transmission system considering time-varying mesh stiffness (TVMS) and time-varying supporting stiffness (TVSS) caused by variable numbers of engaged teeth of gears and contacted rolling elements of bearings, respectively, is investigated in detail in this work. The lumped mass method is employed to simplify the gear transmission system as a three degree-of-freedom (DOF) model system with piecewise linear stiffness caused by backlashes and clearances of bearings under forced excitations and parametric excitations due to TVMS and TVSS. To obtain nonlinear vibration of the gear transmission system, ordinary differential equations that represent a three-DOF model system are established by employing the Newton’s second law. An incremental harmonic balance (IHB) method is proposed to determine periodic responses of the gear transmission system. The modified Floquet theory is applied to examine stability of periodic responses of the gear transmission system. Some interesting phenomena that exist in periodic responses including softening-spring characteristics, resonances, and bifurcations are revealed. In particular, effects of TVMS and TVSS can generate different types of resonances. Increased responses are obtained in this case, as compared to the case without TVMS and TVSS. Analytical results obtained by the IHB method are in agreement with those from numerical integration.

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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.