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Article

Nonlinear Vibrations of Bolted Rotor System Incorporating Misalignment Fault

1
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
2
Foshan Graduate School of Innovation, Northeastern University, Foshan 528312, China
3
Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang 110819, China
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(13), 2368; https://doi.org/10.3390/math14132368
Submission received: 9 June 2026 / Revised: 27 June 2026 / Accepted: 29 June 2026 / Published: 3 July 2026

Abstract

The bolted rotor system functions as a critical component in aero-engines and gas turbines. Additionally, the misalignment fault is a typical and common fault in bolted rotor systems. Nevertheless, current research on bolted rotor systems has not covered misalignment faults. Therefore, a mathematical model of bolted rotor systems incorporating misalignment faults is established in this work. The nonlinear dynamics of bolted rotor systems involving misalignment are investigated by the comparison of the frequency amplitude responses, waterfall diagrams, rotor orbits and time-varying stiffness. Moreover, an in-depth analysis is conducted on the variations in vibration behaviors of rotor systems under different misalignment degrees. Finally, the proposed model is examined using rotor-rig tests conducted under aligned and misaligned conditions. A consistent observation from the numerical and test results is that the 2× frequency resonance speed does not equate precisely to 0.5 times the critical speed. In addition, the 2× component undergoes a sudden change as the misalignment level rises.
Keywords: rotor system; bolted joint; nonlinear vibration; dynamic modeling; misalignment fault rotor system; bolted joint; nonlinear vibration; dynamic modeling; misalignment fault

Share and Cite

MDPI and ACS Style

Li, L.; Xie, F.; Zhao, B.; Liang, F. Nonlinear Vibrations of Bolted Rotor System Incorporating Misalignment Fault. Mathematics 2026, 14, 2368. https://doi.org/10.3390/math14132368

AMA Style

Li L, Xie F, Zhao B, Liang F. Nonlinear Vibrations of Bolted Rotor System Incorporating Misalignment Fault. Mathematics. 2026; 14(13):2368. https://doi.org/10.3390/math14132368

Chicago/Turabian Style

Li, Lei, Fei Xie, Boyu Zhao, and Feng Liang. 2026. "Nonlinear Vibrations of Bolted Rotor System Incorporating Misalignment Fault" Mathematics 14, no. 13: 2368. https://doi.org/10.3390/math14132368

APA Style

Li, L., Xie, F., Zhao, B., & Liang, F. (2026). Nonlinear Vibrations of Bolted Rotor System Incorporating Misalignment Fault. Mathematics, 14(13), 2368. https://doi.org/10.3390/math14132368

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