秋千非线性参变共振的分析

A study on the nonlinear parameter-variation resonance of a swing

将秋千视为可变长度单摆 ,导出了秋千振荡的非线性动力学微分方程 ,并求出了其近似解的表达式 。

Regarding swing as a variable parameter simple pendulum,the nonlinear differential dynamic equation of the oscillating swing and its approximate solution are derived.Meanwhile,it is described the mechanical image of parameter-variation self-excited resonance of the swing.