一类具有参数慢变的非线性振动系统

Study on the Nonlinear Vibration System with Slow-changing Parameters

对具有慢变参数的非线性振动系统进行了分析研究 ,这类系统在振动工程中有着广泛的实际背景。系统中质量、刚度和干扰力等参数是随时间缓慢变化的 ,与一般的参变系统有着本质的不同。讨论了慢变系统的分析方法 ,结合转子系统的慢变刚度对其振动特性进行了研究 ,提出了控制系统通过共振区时的振幅的具体措施。

The nonlinear vibration system with slow-changing parameters has been studied. This system has wide background in engineering. In this system the mass, stiffness and exciting force are changed slowly with time, so it is differient from the ordinary time-varied system. In this paper, the analytical method for the slow-changing systems is discussed, and the vibration feature is also studied based on the rotor system with slow-changing stiffness. At last, the way of the controlling the amplitude when the system passes through the resonant region is proposed.