基于谐波平衡法的非线性低频隔振系统振动特性研究

针对非线性低频隔振系统振动响应和振动传递率进行理论研究。基于非线性弹性元件的载荷－位移试验数据建立了非线性低频隔振系统的动力学模型和动力学方程。借助谐波平衡法对该非线性动力学方程进行近似求解，得到该非线性低频振动系统的一次谐波位移响应和振动传递率的近似表达式。分析了不同系统参数对振动传递率和曲线族骨架形状的影响，并对这种影响产生的原因进行了解释。理论结果与试验结果对比显示，当该非线性低频隔振系统工作在有效隔振频段内时，两者吻合良好。

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.