机械基础耦合强非线性系统主共振研究

A Study on Primary Resonance of the Basic Mechanical Strong Nonlinear Coupling System

根据牛顿定律建立机械基础强非线性耦合系统动力学方程。应用MLP方法分析了机械基础耦合强非线性系统的主共振,得到系统主共振幅频响应方程及其一次近似解,并进行了数值计算。分析了系统参数对主共振幅频响应曲线的影响。结果表明主共振系统幅频响应曲线和力幅响应曲线存在跳跃与滞后现象。

The authors of this paper establish the dynamic equation of the basic mechanical strong nonlinear coupling system on the basis of Newton＇s law, analyze the primary resonance of the mechanical coupling nonlinear systems with MLP, obtain the equation of the main amplitude-frequency response and a first-order approximate solution, do the numerical calculations, and study the effect of the system parameters on the response curve of main amplitude-frequency. The results show that there are jumping and hysteresis phenomena between the response curve of main amplitude-frequency and the response curve of force amplitude.