Landweber迭代正则化方法在动态载荷识别中的应用  

Applications of Landweber Interation Regularization Method in Dynamic Load Identification

作　　者：常晓通[1] 闫云聚[1] 刘鎏[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,西安710129

出　　处：《应用数学和力学》2013年第9期948-955,共8页Applied Mathematics and Mechanics

基　　金：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)

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.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 func- tion 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.

关 键 词：不适定性 载荷识别 Landweber正则化 

分 类 号：TB123[理学—工程力学] O32[理学—力学]