Resonance analysis of single DOF parameter-varying system of magnetic-liquid double suspension bearing

• 作者: ZHAO Jianhua ZHAO Yabin ZHANG Xuze WANG Jin WANG Ziqi GAO Dianrong DU Guojun
• 来源期刊: 高技术通讯（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 72-79
• 页数: 8页
• 语种: 英文
• DOI: 10.3772/j.issn.1006-6748.2022.01.009

摘要

Magnetic-liquid double suspension bearing ( MLDSB ) is mainly supported by electromagnetic suspension and supplemented by hydrostatic supporting. Its bearing capacity and stiffness can be greatly improved, and then it is suitable for the occasions of medium speed, heavy load. When the bearing system is excited by periodic force, the flow q and current i regulated by the double-closed-loop control mechanism change periodically. Then the risk of parametric resonance in MLDSB is greatly aggravated by the change of the parameter system, which seriously affects its operation stabil-ity and reliability. Therefore, this paper intends to study the resonance characteristics of the parame-ter system of MLDSB. Firstly, Marshall-Duffing equation of the parametric system is established by taking the flow q and the current i as variables respectively. Then, by using the asymptotic method, the occurrence condition and variation rule of the principal, 1/2 Harmonic and 1/3 Harmonic para-metric resonance are solved. The results show that only the 1/2 Harmonic resonance of the flow q parameter varying system occurs accompanied by the resonance condition of high frequency. The principal , 1/2 Harmonic and 1/3 Harmonic parametric resonance of the current i occur accompanied by the resonance condition of high frequency. And the 1/2 Harmonic resonance of the current i oc-curs accompanied by the non-single value bifurcation and dynamic bifurcation. The paper can pro-vide theoretical reference for the parameter design and stable operation of MLDSB.