基于杜芬振子的非线性框架结构混沌动力特性

摘要

在分析单自由度以及多自由度非线性框架结构体系模型后,以Duffing振子为依据,借助于Simulink软件对系统进行动态模拟仿真和计算处理,得出系统的时程曲线图、相平面图、Poincare截面图和功率谱图,综合分析并直观表明非线性框架系统在一定条件下所表现出混沌动力特性.%Based on the duffing oscillator,this paper introduced and analyzed a single degree of freedom and multiple degrees of freedom nonlinear frame structure system models.With dynamic simulation and calculation process by using the Simulink,time history curve,phase plan,Poincare section and power spectrum diagram of the system were obtained.Chaotic dynamic characteristics of the nonlinear frame structure systemswere analyzed and described comprehensively.