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An efficient method to reduce ill-posedness for structural dynamic load identification

机译：一种有效减少结构不适的方法，用于结构动载荷识别

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摘要

For the inverse problem of structural dynamic load identification, high system ill-posedness is a main cause leading to instability and low accuracy. In this study, an efficient interpolation-based method is proposed to reduce ill-posedness availably and identify dynamic load stably. The load history is discretized into a series of time elements, and the load profile in each time element is approximated through interpolation functions. Then, in the whole time domain, the dynamic responses under interpolation function loads are calculated through a few finite element analysis and then assembled together to form a global kernel function matrix for load identification. Using singular value decomposition (SVD), the ill-posed degree of the global kernel function matrix can be analyzed. Compared with the conventional Green kernel function method (GKFM), the ill-posedness of global kernel function matrix in the proposed method is significantly reduced. Especially, when the length of time element is selected appropriately, the global kernel function matrix is entirely well-posed and the corresponding dynamic load can be stably identified without any regularization operation. Numerical examples demonstrate the effectiveness of the proposed method and the correctness of identified load.
机译：对于结构动载荷识别的反问题，高的系统不适性是导致不稳定和精度低的主要原因。在这项研究中，提出了一种有效的基于插值的方法来有效地减少不适，并稳定地识别动态载荷。负载历史记录被离散为一系列时间元素，每个时间元素中的负载曲线通过插值函数进行近似。然后，在整个时域中，通过一些有限元分析来计算插值函数负载下的动态响应，然后将它们组装在一起以形成用于负载识别的全局核函数矩阵。使用奇异值分解（SVD），可以分析全局核函数矩阵的不适度。与传统的格林核函数方法（GKFM）相比，该方法大大降低了全局核函数矩阵的不适性。特别地，当适当地选择时间元素的长度时，全局核函数矩阵完全合适，并且无需任何正则化操作就可以稳定地识别相应的动态负载。数值算例表明了所提方法的有效性和确定载荷的正确性。

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  • 来源
    《Mechanical systems and signal processing》 |2017年第10期|273-285|共13页
  • 作者

    Jie Liu; Xianghua Meng; Dequan Zhang; Chao Jiang; Xu Han;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, PR China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Load identification; Ill-posedness; Interpolation function; Time element; Singular value decomposition;

    机译：负载识别;不适的姿势;插值功能;时间要素;奇异值分解;

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