非线性隔冲系统最大响应的计算方法

摘要

A practical method for calculating the maximum response of thesingle degree-of-freedom shock-isolating system with cubic nonlinear stiffness is presented. The whole process is devided into shock action phase during which the shock stiffness of the system is considered to be constant and decaying free vibration phase during which the nonlinearity of the system dynamic stiffness is considered. The formulas with first degree approximation for calculating the maximum displacement and acceleration response are derived.%提出了一种计算具有三次方非线性刚度的单自由度隔冲系统最大响应的方法，该方法将计算过程分成冲击作用阶段和自由衰减振动阶段.在冲击作用阶段中，认为系统的冲击刚度为常数；在自由衰减振动阶段中，考虑系统的刚度非线性，用迭代法推导出了系统最大位移和最大加速度的一阶近似表达式.据此可用数值计算的方法求出系统的最大位移和最大加速度.