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Combination resonances of a dual-rotor system with inter-shaft bearing

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Abstract

This paper focuses on the combination resonances of a dual-rotor system with inter-shaft bearing. The motion equations of the dual-rotor system are formulated by the Lagrange equation, in which the unbalanced excitations of the two rotors and the clearance of the inter-shaft bearing are taken into consideration. The HB-AFT method (harmonic balance-alternating frequency/time domain method) is employed to obtain all the periodic solutions including the unstable solutions of the system. The combination resonance characteristics of the system are analyzed in detail by using the frequency response curves and separated frequency responses of the dual-rotor system. Besides the two primary resonance peaks, three more combination resonance regions in the frequency response curves of the system are found, in which the jump and bi-stable phenomena are observed. The primary resonance is mainly dominated by the excitation frequency \(\omega_{1}\) and \(\omega_{2}\), the combination resonance of the system is mainly dominated by the combined frequency component of \(2\omega_{2} - \omega_{1}\), \(4\omega_{2} - 3\omega_{1}\), \(3\omega_{2} - 2\omega_{1}\) and is almost independent of other frequency components. Furthermore, the effect of inter-shaft bearing clearance on the combination resonance regions is obtained, it is indicated that increasing the inter-shaft bearing clearance will not only affect the response amplitudes of the combination resonance and change the “softening and hardening characteristic” of the frequency response curves, but also show a certain “stiffness weakening effect” on the rotor system. The study in this paper is of great significance to select the parameters of the dual-rotor system reasonably so as to avoid harmful combination resonance.

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Abbreviations

HB-AFT:

Harmonic balance-alternating frequency/time domain method

SFD:

Squeeze film damper

AFT:

Alternating frequency/time domain

DFT:

Discrete Fourier transform

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Acknowledgements

The authors are very grateful for the financial supports from the National Natural Science Foundation of China (Grant No. 11972129), the National Major Science and Technology Projects of China (Grant No. 2017-IV-0008-0045), the Natural Science Foundation of Heilongjiang Province (Outstanding Youth Foundation, Grant No. YQ2022A008), and the Fundamental Research Funds for the Central Universities.

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  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Lei Hou, Yi Chen & Yushu Chen

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Hou, L., Chen, Y. & Chen, Y. Combination resonances of a dual-rotor system with inter-shaft bearing. Nonlinear Dyn 111, 5197–5219 (2023). https://doi.org/10.1007/s11071-022-08133-8

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