一类非线性振动系统的周期运动

Periodic Motion of a Class of Nonlinear Oscillating Systems

在非线性振动系统中,周期运动至关重要。该文研究了一类两自由度非线性振动系统的周期运动,这个系统由两个相互耦合的二阶非线性微分方程表示,运用Liapunov函数方法和特殊技巧,得到了该类系统的周期解。

In the system of nonlinear oscillating, periodic motion is of prime importance. The paper studies the periodic motion for a class of two-degree-of-freedom nonlinear oscillating systems. This model can be expressed by two mutual coupling second-order nonlinear differential equations. By using the method of Liapunov function and special techniques, periodic solution to the system are obtained.