Study of Impact Response of Metal Rubber Vibration Isolation System Based on Mixed Shooting Harmonic Balance Method

doi:10.3901/JME.2025.11.183

Abstract

Abstract: A strategy for solving the impact response of metal-rubber vibration isolation systems is proposed based on the mixed shooting harmonic balance method. The dynamic model of the metal rubber vibration isolation system is constructed by fully considering the flexible characteristics of the mounting plate, based on which the impact excitation is divided into half-sinusoidal forced vibration and free vibration, and the mixed shooting harmonic balance method are used to solve the system response and then coupling, and to analyze the vibration isolation system by the influence of the system parameters and the external excitation law. The results show that among the system parameters, the linear stiffness has the most significant effect, the damping plays a dominant role in the free vibration phase, while the mass and nonlinear stiffness have less significant effects. Among the external excitations, the duration of the shock is the most significant, and the shock excitation amplitude has a smaller effect. The impact response of the metal-rubber vibration isolation system is further verified by impact test and compared with the Fourier transform method. The proposed impact response dynamics solution strategy has high accuracy and the variance of the model solved by MS-HBM is R²=0.75, which is much larger than that of the model solved by the FFT transform method with R²=0.5. The results of this study provide a new idea to solve the impact response of the metal-rubber vibration isolation system.

Key words: impact, nonlinear systems, harmonic balance method, mixed shooting, metal rubber

CLC Number:

TB122

ZHOU Chunhui, REN Zhiying, LIN Youxi, LI Shuaijun, SHI Xianjie, DU Pengcheng. Study of Impact Response of Metal Rubber Vibration Isolation System Based on Mixed Shooting Harmonic Balance Method[J]. Journal of Mechanical Engineering, 2025, 61(11): 183-193.

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