一类非光滑多自由度系统内共振情况的分岔特性

BIFURCATION BEHAVIOR OF A MULTI-DEGREES-OF-FREEDOM PIECEWISE LINEAR SYSTEM IN INNER RESONANCE CASE

以双质体共振筛为模型,讨论此类非光滑多自由度系统在内共振情况下的分岔特性。对系统的分段线性函数采用多项式拟合的方法,应用复内积平均法得到内共振情况下的分岔方程,并应用C L(Chen Langford)方法对之进行奇异性分析,得到多种分岔模式。理论和数值结果一致。在给定系统参数一定数值的情况下,发现不同于主共振的由组合共振引起的共振现象。本文结果可为此类系统的参数优化和故障诊断提供理论指导。

Taking double-body resonance screen as an example, the dynamic behavior of a discontinuous nonlinear oscillating multi-degrees-of-freedom system is studied. Uusing the eurve-fitting method to pieeewise functions, the bifurcation equation by the complex inner product averaging method is obtained. The bifureation behavior is analyzod by C-L（Chen-Langford） method. The resonance curve obtained is different from the main resonance curves by given parameter values of the system. The numerical result is consistent with the theoretical method and it can be used to the optimization of system parameters and trouble diagnosing.