Dynamic Characteristics of Quasi-Zero Stiffness Vibration Isolation System with Magnetic Rings

doi:10.12382/bgxb.2022.0194

Abstract

Abstract:

Due to the complexity and changeability of the operational and driving environment of special vehicles, personnel and large onboard precision equipment are often exposed to the low-frequency and large-amplitude vibration environment, which directly affects the operational efficiency, even endangers personnel safety and causes serious equipment failure. In order to effectively isolate its low-frequency vibrations, a quasi-zero-stiffness vibration isolation system with magnetic rings is developed, and its system stiffness characteristics and vibration isolation characteristics are studied theoretically and experimentally. Based on the magnetoelectric theory and stiffness coupling theory, the theoretical models of positive and negative stiffness are established and the equivalent stiffness of the system is obtained, and its stiffness mechanism and parameter characteristics are analyzed. The nonlinear dynamic model of the quasi-zero stiffness vibration isolation system is further developed, and the nonlinear dynamic equations of the system are solved by the harmonic balance method and the Newton-Raphson iterative method, its vibration isolation characteristics are analyzed and evaluated, and an experimental bench is built for verification. The results show that: the negative stiffness mechanism has obvious negative stiffness effect and can produce a wider quasi-zero stiffness interval with the positive stiffness system; compared with the linear system, the isolation frequency band of the quasi-zero stiffness vibration isolation system is widened to the low-frequency region by 71.9%, and the resonance peak reduced by 65.7%, the displacement response amplitude decreased by 75%, and the acceleration response amplitude decreased by 80% in the steady-state interval,meaning that the system has a wider vibration isolation frequency band and a larger vibration decay rate.

Key words: special vehicle, quasi-zero stiffness, magnetic rings, nonlinear dynamics, low-frequency vibration isolation

LI Zhanlong, ZHANG Zheng, JIANG Wenwen, LIU Qi, REN Zhizhao, WANG Yao, SONG Yong. Dynamic Characteristics of Quasi-Zero Stiffness Vibration Isolation System with Magnetic Rings[J]. Acta Armamentarii, 2023, 44(6): 1784-1794.

Figures/Tables 15

Fig.1 Quasi-zero-stiffness vibration isolation system with magnetic rings

Fig.2 Negative stiffness mechanism coordinate system

Fig.3 Positive stiffness mechanism coordinate system

Fig.4 Three-direction stiffnessand damping decomposition of a PAM vibration isolation element

Fig.5 Dynamic model of single-degree-of-freedom nonlinear vibration isolation system

Fig.6 Computation model of negative stiffness mechanism

Table 1 Parameters of permanent magnet rings

磁环参数	内径/ mm	外径/ mm	厚度/ mm	剩磁/ T	磁导率/ (H·m^-1)
内磁环	20	35	15	1.25	1.05
上磁环	55	80	15	1.25	1.05
下磁环	55	80	15	1.25	1.05

Fig.7 Negative stiffness experimental bench

Fig.8 Curves of negative stiffness computation model and experimental data

Fig.9 Force-displacement curves of negative stiffness model under different kk

Fig.10 Fitted force-displacement curves of negative stiffness

Fig.11 Force-displacement characteristic curves of quasi-zero-stiffness vibration isolation system and negative stiffness mechanism

Fig.12 Displacement transmissibility of quasi-zero-stiffness vibration isolation system under different parameters

Fig.13 Schematic diagram of experimental scheme

Fig.14 Comparison between quasi-zero stiffness vibration isolation system and linear vibration isolation system

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