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<p>This paper presents a comprehensive study of the nonlinear vibrational behavior of a continuous rotor supported by fluid-lubricated tilting-pad journal bearings. Unlike prior works that often simplify bearing models or consider linear rotor dynamics, this study couples the full nonlinear geometric effects of the rotor with a detailed hydrodynamic analysis by solving the Reynolds equation for the bearings. The system equations are discretized using the Galerkin method and solved numerically to capture the complex fluid–structure interactions influencing rotor stability and response. Results reveal significant differences—up to 25%—in amplitude and natural frequency predictions between the fully coupled nonlinear model and simplified spring-damper approximations, demonstrating the crucial impact of nonlinear bearing-fluid-rotor coupling. The analysis also highlights how lubricant viscosity and flow regime affect bearing stiffness and damping, influencing vibration amplitudes and system robustness. These findings provide important insights for the accurate modeling and design optimization of high-performance rotor-bearing systems under realistic operating conditions.</p>

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Nonlinear dynamics of a continuous rotor supported by tilting-pad journal bearing lubricated with fluid

  • 期刊论文

  • 发表日期：

    2026年1月19日

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  • Chenglong Zong,
  • Zhaoyang Han

摘要

This paper presents a comprehensive study of the nonlinear vibrational behavior of a continuous rotor supported by fluid-lubricated tilting-pad journal bearings. Unlike prior works that often simplify bearing models or consider linear rotor dynamics, this study couples the full nonlinear geometric effects of the rotor with a detailed hydrodynamic analysis by solving the Reynolds equation for the bearings. The system equations are discretized using the Galerkin method and solved numerically to capture the complex fluid–structure interactions influencing rotor stability and response. Results reveal significant differences—up to 25%—in amplitude and natural frequency predictions between the fully coupled nonlinear model and simplified spring-damper approximations, demonstrating the crucial impact of nonlinear bearing-fluid-rotor coupling. The analysis also highlights how lubricant viscosity and flow regime affect bearing stiffness and damping, influencing vibration amplitudes and system robustness. These findings provide important insights for the accurate modeling and design optimization of high-performance rotor-bearing systems under realistic operating conditions.