Nonlinear Dynamic Modeling of Rotor-Bearing Systems with Combined Support Considering Coupled Motion: Numerical and Experimental Studies

Lei Li (), Tianyue Ma, Feng Liang and Fei Xie
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Lei Li: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Tianyue Ma: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Feng Liang: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Fei Xie: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

Mathematics, 2025, vol. 13, issue 22, 1-22

Abstract: The elastic support structure is widely employed in rotor systems and has an important influence on the nonlinear vibration of such systems. Nevertheless, coupled motion between elastic supports and bearings has not been taken into account, and the coupling effect of these two components on rotor dynamics remains insufficiently elucidated. Therefore, this work presents a bearing force model considering the motion of the elastic support. Subsequently, this work presents a new rotor-bearing dynamics model, in which the coupled motion between elastic supports and bearings is explicitly accounted for. Moreover, the coupling effect of elastic supports and bearings is systematically investigated through analyses of frequency–amplitude responses, waterfall plots, contact loads of bearings, operational deflection shape, and bifurcation diagrams. To further reveal this coupling effect, the nonlinear vibration behaviors of the rotor-bearing system with elastic support are analyzed under different bearing initial clearances. Finally, the experiments on rotor test rigs with and without elastic supports are conducted to validate the accuracy of the proposed dynamic model. Both simulation and experimental results indicate that elastic supports mitigate the nonlinear vibration of the rotor-bearing system; additionally, elastic support could reduce the bearing reaction forces and contact loads. Moreover, elastic supports alter the operational deflection shape of the rotor-bearing system.

Keywords: rotor system; elastic support; dynamic analysis; nonlinear vibration; bearing (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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