Random dynamic load identification based on error analysis and weighted total least squares method
Random dynamic load identification based on error analysis and weighted total least squares method
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DOI：
10.1016/j.jsv.2015.07.035
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发表时间：
2015-12
影响因子：
4.7
通讯作者：
You Jia;Zhichun Yang;N. Guo;Le Wang
中科院分区：
文献类型：
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作者：
You Jia;Zhichun Yang;N. Guo;Le Wang
在大多数情况下，结构动力学中的随机动态载荷识别问题通常是不适定的。处理这些问题的一个常用方法是用一些数值正则化方法将这些问题转化为一些适定问题。在前人的一篇论文中，建立了随机动态载荷识别模型，并提出了一种基于本征正交分解的加权正则化方法来识别随机动态载荷。本文推导了频域相对载荷识别误差的上界。给出了加权矩阵的选取条件和具体形式，并进行了理论分析和实验验证。为了提高随机动载荷识别的精度，提出了一种加权总体最小二乘法来减小这些误差的影响。为了进一步验证该方法的可行性和有效性，通过实验对该方法与其他方法进行了对比研究。实验结果表明，加权总体最小二乘法对随机动态载荷的识别比其他方法更有效。
In most cases, random dynamic load identification problems in structural dynamics are in general ill-posed. A common approach to treat these problems is to reformulate these problems into some well-posed problems by some numerical regularization methods. In a previous paper by the authors, a random dynamic load identification model was built, and a weighted regularization approach based on the proper orthogonal decomposition (POD) was proposed to identify the random dynamic loads. In this paper, the upper bound of relative load identification error in frequency domain is derived. The selection condition and the specific form of the weighting matrix is also proposed and validated analytically and experimentally, In order to improve the accuracy of random dynamic load identification, a weighted total least squares method is proposed to reduce the impact of these errors. To further validate the feasibility and effectiveness of the proposed method, the comparative study of the proposed method and other methods are conducted with the experiment. The experimental results demonstrated that the weighted total least squares method is more effective than other methods for random dynamic load identification.