关于单自由度非线性谐迫振动等效线性化方法的注记

A Note on the Equivalent Linearization Method for OneDegreeofFreedom Nonlinear Oscilaters

阐明了单自由度非线性谐迫振动系统等效线性化方法的物理意义是非线性力与等效线性力的功率和无功功率均相等,并证明了在系统简谐振动的一个周期上非线性力与等效线性力差值平方累计有最小值.

The physical significance is explained as the balance of both the work power and the workless power between the nonlinear force and the equivalently linear force.It is also proved that the accumulative squire error between the nonlinear force and the equivalently linear force during a period gains the extreme small value.