两类相对转动非线性动力学系统的统一动力学模型及混沌运动

Unified dynamics model of two kind of relative rotation nonlinear dynamics system and chaos

建立了具有广义阻尼力和非线性恢复力的二端面转轴相对转动系统与一类两质量相对转动系统的统一的非线性动力学模型。在弱周期力的条件下,研究了统一系统的混沌运动表现,应用Melnikov方法给出了系统发生混沌的必要条件,并利用倍周期分岔方法,进一步分析了系统的混沌行为。

The two end surface revolution axis relative rotation system and a kind of two quality relative rotation system unified non- linear dynamics model are established, under the generalized damping force and the nonlinear resiliency. And chaos movement performance of unification system is studied, under weak cyclical strength condition. The necessary condition of chaotic motion of system is presedted as well, by using Melnikov method. Finaly, the chaotic motion of system is complemented by using period doubing ...