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<p>Exploring the coupling mechanisms and excitation interference in gear-rotor-bearing (GRB) systems is critical for unraveling the kinetic characteristics of gearboxes. To precisely describe the dynamic behaviors of the GRB system, this study develops an analytical model based on the Finite Element Method (FEM). Firstly, the nonlinear bearing forces, flexible rotor elements, Time-varying Meshing Stiffness (TVMS) and geometric characteristics of gear pair are incorporated. Subsequently, the transient dynamic response is numerically solved using the Newmark-<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11071_2025_11856_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation> method, and experimental validation confirms the model’s reliability. Finally, the effects of rotor speed, gear eccentricity, and bearing parameters on the system are analyzed in detail using amplitude-frequency curves, bifurcation diagrams, and spectral waterfall plots. This work aims to clarify the coupling mechanisms by which key parameters influence the system’s kinetic characteristics, thereby providing a theoretical foundation and technical support for dynamic design optimization, vibration suppression strategy development, and fault early warning in complex GRB systems.</p>

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Nonlinear kinetic characteristics and excitation interference analysis of coupled gear-rotor-bearing system with flexible rotor elements

  • 期刊论文

  • 发表日期：

    2025年10月15日

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  • Xiangming Zhang,
  • Lei Fu,
  • Zhehao Fu,
  • Yuhao Jiang,
  • Dapeng Tan

摘要

Exploring the coupling mechanisms and excitation interference in gear-rotor-bearing (GRB) systems is critical for unraveling the kinetic characteristics of gearboxes. To precisely describe the dynamic behaviors of the GRB system, this study develops an analytical model based on the Finite Element Method (FEM). Firstly, the nonlinear bearing forces, flexible rotor elements, Time-varying Meshing Stiffness (TVMS) and geometric characteristics of gear pair are incorporated. Subsequently, the transient dynamic response is numerically solved using the Newmark- \(\beta \) β method, and experimental validation confirms the model’s reliability. Finally, the effects of rotor speed, gear eccentricity, and bearing parameters on the system are analyzed in detail using amplitude-frequency curves, bifurcation diagrams, and spectral waterfall plots. This work aims to clarify the coupling mechanisms by which key parameters influence the system’s kinetic characteristics, thereby providing a theoretical foundation and technical support for dynamic design optimization, vibration suppression strategy development, and fault early warning in complex GRB systems.