分解法求解非线性阻尼振动

Solving the Non-linear Equation for the Damped Vibration by the Resolution Method

介绍一种目前在国际上较活跃的求解非线性复杂问题的方法———分解法，并将此法应用于非线性阻尼振动，求出了振动方程的解析解，据此，给出了非线性阻尼振动规律及位移与速度的关系．该方法有很大的普遍性，特别是对于复杂问题的定量计算。

This paper introduces a solution for the non-linear complicated physics problems, applied it to the non-linear equation for the damped vibration, and deduced the solution of the vibrationand the phase diagram.By means of this method,we study nonlinear damped oscillation and obtain the relation between the velocity and displacement for nonlinear damped oscillation.So the method is of potential application valuable in nonlinear physics and many other fields.