Vibration Characteristics Analysis of Nonlinear Low-frequency Vibration Isolation System Based on Harmonic Balance Method

The theoretical research on the vibration response and vibration transmissibility of low-frequency nonlinear vibration isolation system is carried out in this paper. Based on the load-displacement experimental data of nonlinear elastic components,a dynamic model of low-frequency nonlinear vibration isolation system is developed and the nonlinear dynamic governing equations are proposed. The harmonic balance method is used to solve the nonlinear equations and approximate expressions of linear harmonic displacement response and vibration transmissibility of the vibration isolation system are derived. In addition,the effect of system parameters on the vibration transmissibility and the shape of curve family is studied,and the reason is interpreted.Comparison of theoretical results and experimental data shows that when the vibration isolation system works in low frequency range,they are well consistent.