A study and extension of second-order blind source separation to operational modal analysis
A study and extension of second-order blind source separation to operational modal analysis
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DOI：
10.1016/j.jsv.2012.09.016
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发表时间：
2013-02-18
影响因子：
4.7
通讯作者：
Chauhan, S.
中科院分区：
文献类型：
--
作者：
Antoni, J.;Chauhan, S.
二阶盲源分离（SOBSS）由于能够将一组系统响应分离到模态坐标中，并通过单自由度技术提取系统极点，近年来在操作模态分析（OMA）中得到了广泛的关注。此外，SOBSS返回一个混合矩阵，其列是系统振型的估计。本文的目的有三个方面。首先，在OMA框架内对当前的SOBSS方法进行了理论分析，并建立了精确的适用条件。其次，提出了一种新的分离方法，解决了目前SOBSS的局限性：它返回的估计复杂的模式形状，它可以处理更多的活跃模式比可用的传感器的数量，它显示出上级性能的情况下，重阻尼和/或强耦合模式。第三，在理论上建立了SOBSS与随机子空间识别（SSI）的联系，并将其作为OMA的参考点之一。最后通过数值模拟对各种方法进行了比较。(C)2012爱思唯尔有限公司保留所有权利。
Second-order blind source separation (SOBSS) has gained recent interest in operational modal analysis (OMA), since it is able to separate a set of system responses into modal coordinates from which the system poles can be extracted by single-degree-of-freedom techniques. In addition, SOBSS returns a mixing matrix whose columns are the estimates of the system mode shapes. The objective of this paper is threefold. First, a theoretical analysis of current SOBSS methods is conducted within the OMA framework and its precise conditions of applicability are established. Second, a new separation method is proposed that fixes current limitations of SOBSS: It returns estimate of complex mode shapes, it can deal with more active modes than the number of available sensors, and it shows superior performance in the case of heavily damped and/or strongly coupled modes. Third, a theoretical connection is drawn between SOBSS and stochastic subspace identification (SSI), which stands as one of the points of reference in OMA. All approaches are finally compared by means of numerical simulations. (C) 2012 Elsevier Ltd. All rights reserved.