Landweber迭代正则化方法在动态载荷识别中的应用

常晓通; 闫云聚; 刘鎏

doi:10.3879/j.issn.1000-0887.2013.09.008

Landweber迭代正则化方法在动态载荷识别中的应用

doi: 10.3879/j.issn.1000-0887.2013.09.008

西北工业大学力学与土木建筑学院,西安 710129

基金项目: 2012年度高等学校博士学科点专项科研基金（优先发展领域）资助项目（20126102130004）

详细信息

作者简介:
常晓通（1985—），男，山西屯留人，博士生（通讯作者.E-mail:xtchang@163.com）.

中图分类号: O32
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- 被引次数: 0
出版历程
- 收稿日期: 2013-06-26
- 修回日期: 2013-07-01
- 刊出日期: 2013-09-15

Applications of Landweber Interation Regularization Method in Dynamic Load Identification

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

摘要

摘要: 在载荷识别过程中，由于结构矩阵的病态特性以及测量噪声的影响，常规最小二乘法往往失效，这就是反问题的不适定问题．Landweber迭代正则化方法可以用来解决载荷识别的不适定问题．线性系统的响应可以表示为载荷与单位脉冲响应函数的卷积分，将其在时域内离散后可得到结构振动响应的正问题模型．应用该方法，在一个桥梁模型上进行了仿真试验，仿真结果说明提出的识别方法是有效的，可以得到满足工程要求的稳定近似解.
- 不适定性 /
- 载荷识别 /
- Landweber正则化
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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参考文献(12)

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