多自由度系统动力响应的独立分量分析

Research on Dynamic Response of MDOF Systems Using Independent Component Analysis

简要介绍了独立分量分析的基本原理,探讨了多自由度系统动力响应模态提取与独立分量分析之间的关系。分析认为,在自由振动和宽带随机激励下,多自由度系统动力响应的模态提取可以看作是一个满足独立分量分析条件的问题,运用独立分量分析可以直接从结构的自由响应信号或随机响应信号中提取出各阶模态坐标,同时估计出模态振型向量。三自由度仿真算例表明该方法进行模态提取是有效的,并具有较高的精度。

The basic theory of independent component analysis（ICA） is briefly introduced,and the relation between mode shape extraction of multi-degree-of-freedom（MDOF） systems and ICA is discussed.For free and random vibrations of MDOF systems,mode extraction of structural response can be considered as a problem meeting the conditions of ICA.Therefore ICA can be developed to extract modal coordinates of systems and estimate mode shape matrix using free and random vibration response signal directly.A numerical simulation of a three DOF system is performed and showed the efficiency of the method,which gave high identification accuracy.