【摘要】 针对常用非线性振动分析方法的不足,基于故障诊断理论提出了一种称为周期采样峰-峰值(PSP)图的分析方法,该方法可以有效描述非线性系统的不同类型响应,并用其研究了Duffing方程、滞后非线性汽车悬架系统和裂纹转子系统的非线性动力学响应。数值仿真结果表明,从PSP图可以明显区分响应的周期、拟周期与混沌运动,对应于周期、多倍T周期和拟周期的响应是规则的点集,而对应于混沌运动是无规则的点集。更多还原

【Abstract】 We put forward a novel method, period sampling peak-to-peak value (PSP) diagram, to describe different types of nonlinear responses in nonlinear dynamical systems. In this method, a two-dimensional graph was plotted. It used the peak-to-peak values as one coordinate and the other was the relevant period sampling numbers. The nonlinear responses of Duffing equation, a retarded nonlinear vehicle suspension system and cracked rotor were studied by this method. The PSP diagrams were composed of dots. The figure for period was a straight line; for multi-period were multi-straight lines; for quasi-period was an orderly period curve; while for chaos, it was out-of-order. Some numerical results are given based on this method and prove its efficiency to distinguish nonlinear responses.更多还原