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IssuesArchive of Issues2025-7pp.6355-6376

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Ling-yun Zhang, Zhong Liu, Zhong-gang Xiong, Xing-guo Han, and Luan Li, "Nonlinear Dynamic Response Analysis of Time-Varying Mass and Rub-Impact Combined Rotor System," Mech. Solids. 60 (7), 6355-6376 (2025)
Year 2025 Volume 60 Number 7 Pages 6355-6376
DOI 10.1134/S0025654425604203
Title Nonlinear Dynamic Response Analysis of Time-Varying Mass and Rub-Impact Combined Rotor System
Author(s) Ling-yun Zhang (Guangxi Key Laboratory of Special Engineering Equipment and Control, Guilin University of Aerospace Technology, Guilin, 541004 China;School of Mechanical Engineering, Guilin University of Aerospace Technology, Guilin, 541004 China, jxxyZLY@163.com)
Zhong Liu (Guangxi Key Laboratory of Special Engineering Equipment and Control, Guilin University of Aerospace Technology, Guilin, 541004 China; School of Mechanical Engineering, Guilin University of Aerospace Technology, Guilin, 541004 China, liuzhong678@163.com)
Zhong-gang Xiong (Guangxi Key Laboratory of Special Engineering Equipment and Control, Guilin University of Aerospace Technology, Guilin, 541004 China;School of Mechanical Engineering, Guilin University of Aerospace Technology, Guilin, 541004 China, xzglsl2013@163)
Xing-guo Han (Guangxi Key Laboratory of Special Engineering Equipment and Control, Guilin University of Aerospace Technology, Guilin, 541004 China; School of Mechanical Engineering, Guilin University of Aerospace Technology, Guilin, 541004 China, hanxingguo2004@163.com)
Luan Li (School of Automotive College, Fujian Chuanzheng Communications College, Fuzhou, Fujian, 730070 China, 2022048@fjcpc.edu.cn)
Abstract Some rotor system’s mass changes constantly during actual production, increasing the nonlinear movement of the whole system. The dynamics model of the rotor system incorporates the time-varying mass, oil-film force, rub-impact force and unbalance force. The system’s motion properties are successfully recognized by building a Poincaré section mapping. This study describes a method for estimating the dynamic rub-impact state in a time domain trajectory. Otherwise, the function is solved by the Runge-Kutta numerical integration method. The vibration characteristics of the time-varying mass rub-impact combing (TVMRI) rotor system with different speeds and time-varying parameters are investigated by a bifurcation diagram, axis orbits, Poincaré map, time domain waveform diagram, spectrum diagram, and three-dimensional waterfall diagram. The results demonstrate that the time-varying mass intensifies the instability of the system. The contact connection between the rotor and stator has three states: no contact, intermittent contact, and complete contact. The time-varying mass causes the P-1 motion to terminate prematurely, while the chaotic region evolves P-3 and P-6 motions and the P-5 motion is replaced by multi-period and quasi-periodic motions. The mass time-varying coefficient ε primarily influences the periodicity and motion distribution region of the rotor system. When ε changes, the period-doubling motion of the system in the medium speed area changes dramatically. The mass time-varying amplitude coefficient λ primarily impacts the amplitude of the rotor system. When ε gradually grows, and so does the amplitude of each frequency component of the system. This phenomenon is particularly visible in the high-speed zone where the system becomes increasingly unstable. Mass eccentricity not only affects the amplitude of the response, but also affects the motion state of the system and the shape of the whirl orbit. The study’s findings provide a theoretical foundation for the dynamics and engineering design of time-varying mass rotor systems.
Keywords time-varying mass, rub-impact, nonlinear movement, periodic motion
Received 04 August 2025Revised 05 November 2025Accepted 05 November 2025
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