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Vol. 168, Issue 4, April 2014, pp. 268-275




Load Identification of Acoustic and Vibration Multi-source Following Linear Regression and Least-Squares of Generalized Matrix Inverse Method in Frequency Domain

1 Cheng Wang, 2 Yongxiang Wu, 2 Jixiang Jiao, 2Xianglong Huang, 1 Jin Gou, 2 Guirong Yan

1 College of Computer Science and Technology, HuaQiao University, Xiamen 361021, China
2 School of Aerospace, Xi 'an Jiaotong University Xi’an 710049, China
1 Tel.:+86 0592-616 2460, fax: +86 0592-616 2556

E-mail: wangcheng@hqu.edu.cn


Received: 24 January 2014 /Accepted: 7 March 2014 /Published: 30 April 2014

Digital Sensors and Sensor Sysstems


Abstract: Because frequency load identification method will confront with the ill-posed problem of finding the inverse of coefficient matrix and it can only identify one load source, a new uncorrelated multi-source load identification algorithm based on linear regression and least-squares of generalized matrix inverse is proposed. According to response signals of multi-spot, this new algorithm can identify uncorrelated multi-source loads in frequency domain at the same time. Based on the assumptions of linear stochastic system and uncorrelated loads, the new algorithm combines transfer function of liner system, least-squares of generalized matrix inverse and linear regression model. Multi- source load identification experiment results on vibration and acoustic multi-source data set in cylindrical shell validate that this algorithm could basically meet the dynamic random load precision requirement of 3db at last.


Keywords: Load identification in frequency domain, Acoustic and vibration, Multi-source, Linear regression, Least-squares of generalized matrix inverse.


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