Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (3): 653-674.doi: https://doi.org/10.1007/s10483-026-3357-7

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Study on the influence of internal bearing parameters on the critical speed and vibration behavior of the rotor-bearing coupled system

Fanyu ZHANG1,2, Yulai ZHAO1,2, Qingyu ZHU2,3,(), Xiangyu MENG1,2, Junzhe LIN1,2, Qingkai HAN1,2   

  1. 1.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
    2.Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education of China, School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
    3.Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China

Abstract:

The dual challenges of critical speed prediction inaccuracies and ambiguous vibration behaviors are present in high-speed flexible rotors, particularly in free turbine rotors in turboshaft engine systems. The study begins with an examination of the rotor-bearing bidirectional coupling mechanism, with a primary focus on the nonlinear characteristics of the bearing. An investigation is carried out on the mechanical modeling methodologies for four-point contact ball bearings (FPCBBs) and cylindrical roller bearings (CRBs). To address the issue of excessive computational time in traditional bearing calculation methods, the sled dog optimization (SDO) algorithm is substituted for the conventional Newton-Raphson method. A rotor-bearing coupling dynamics model is developed by the finite element and lumped mass methods, with experimental validation achieved through a simulator test rig. The effects of three internal bearing parameters in FPCBBs (arching width and raceway groove curvature coefficient) and CRBs (initial radial clearance) on the critical speed characteristics and vibrational behavior of rotor-bearing coupled systems are examined. The numerical simulation results show some interesting conclusions.

Key words: critical speed, vibration behavior, sled dog optimization (SDO) algorithm, rotor-bearing coupled system

2010 MSC Number: 

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