State space load identification technique based on an improved regularized method

被引:0
作者
Ma, Chao [1 ]
Hua, Hong-Xing [1 ]
机构
[1] State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai
来源
Zhendong yu Chongji/Journal of Vibration and Shock | 2015年 / 34卷 / 11期
关键词
Ill-posed; Load identification; Regularization; Stable solution; State space;
D O I
10.13465/j.cnki.jvs.2015.11.026
中图分类号
O24 [计算数学];
学科分类号
070102 ;
摘要
Due to the influence of noise and system property, a load identification problem is always ill-posed, in order to deal with this issue, it is necessary to use the regularized technique. Here, an improved regularized technique was proposed to get the stable solution. Numerical tests were made to verify the proposed method, and the results were compared with those identified using the traditional Tikhonov regularization method. It was shown that the proposed method gives better results than the traditional Tikhonov regularization method does. ©, 2015, Chinese Vibration Engineering Society. All right reserved.
引用
收藏
页码:146 / 149
页数:3
相关论文
共 11 条
[1]  
Zhang F., Tang X.-D., Qin Y.-T., Et al., The identification method of dynamic randon load distributing on structure, Journal of Vibration and Shock, 25, 2, pp. 120-124, (2006)
[2]  
Jacquelin E., Bennani A., Hamelin P., Force reconstruction: analysis and regularization of a deconvolution problem, Journal of Sound and Vibration, 265, 1, pp. 81-107, (2003)
[3]  
Mao Y., Guo X., Zhao Y., A state space force identification method based on Markov parameters precise computation and regularization technique, Journal of Sound and Vibration, 329, 15, pp. 3008-3019, (2010)
[4]  
Guo X.-L., Mao Y.-M., Zhao Y., Et al., Load identification based on precise time-step integration for Markov parameters, Journal of Sound and Vibration, 28, 3, pp. 27-30, (2009)
[5]  
Choi H., Thite A., Thompson D., A threshold for the use of Tikhonov regularization in inverse force determination, Applied Acoustics, 67, 7, pp. 700-719, (2006)
[6]  
Golub G.H., Heath M., Wahba G., Generalized cross-validation as a method for choosing a good ridge parameter, Technometrics, 21, 2, pp. 215-223, (1979)
[7]  
Hansen P.C., The L-curve and Its Use in The Numerical Treatment of Inverse Problems, (1999)
[8]  
Wang H., Lu X.-Q., Sun Y., CT reconstruction algorithm from limited-angle using modified regularization method, CT Theory and Applications, 17, 4, pp. 15-22, (2008)
[9]  
Hansen P.C., The discrete picard condition for discrete ill-posed problems, BIT Numerical Mathematics, 30, 4, pp. 658-672, (1990)
[10]  
Xu L.-X., Huang Z.-Y., Kong X.-W., Performance improvement analysis of a rolling mill based on N4SID subspcae identification method, Journal of Sound and Vibration, 32, 4, pp. 142-145, (2013)