Applications of Landweber Interation Regularization Method in Dynamic Load Identification

CHANG Xiao-tong; YAN Yun-ju; LIU Liu

doi:10.3879/j.issn.1000-0887.2013.09.008

Volume 34 Issue 9

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CHANG Xiao-tong, YAN Yun-ju, LIU Liu. Applications of Landweber Interation Regularization Method in Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2013, 34(9): 948-955. doi: 10.3879/j.issn.1000-0887.2013.09.008

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Applications of Landweber Interation Regularization Method in Dynamic Load Identification

doi: 10.3879/j.issn.1000-0887.2013.09.008

School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, P.R.China

Received Date: 2013-06-26
Rev Recd Date: 2013-07-01
Publish Date: 2013-09-15

Abstract

Abstract

The inverse problem of force identification was always ill-posed due to the inverse process of structural matrix and measurement noise in practical engineering and the ordinary least square method usually obtained the meaningless solution, which was called the ill-posed problem of the inverse problem. The Landweber iteration regularization method was proposed to overcome these problems. The load can be expressed as a series of kernels of impulse function in time domain and the total response of the system can be obtained with the product of the convolution integral of the kernel responses and the load. The load were identified on a bridge model. The simulation results show that the identification method proposed is effective and it can meet the engineering requirements of stable approximate solution.
- ill-posedness,
- force identification,
- Landweber regularization technique

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References(12)

References

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