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A study on the influence of measurement location and regularization on the evaluation of boundary tractions by inverse finite element method

机译：测量位置和正则化对边界牵引力反有限元法评估的影响研究

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This work is concerned with an inverse approach to determine boundary tractions from displacements measured on a remote surface. The influence of measurement location and regularization on the evaluation of unknown tractions is mainly investigated through numerical experiments. The finite element method is employed in the inversion process, and the Tikhonov and the truncated singular value decomposition techniques are used to regularize an ill-conditioned system. The analytical relation between measurement location and the conditioning of a spring inverse problem is presented in this paper. Numerical results show that the solutions of inverse problems using the finite element method are very sensitive to measurement location. In addition, the effects of regularization and noise added to measured displacements are discussed through numerical examples.
机译：这项工作涉及一种逆向方法，该方法可以根据在远程表面上测量的位移来确定边界牵引力。主要通过数值实验研究了测量位置和正则化对未知牵引力评估的影响。反演过程采用有限元方法，Tikhonov和截断的奇异值分解技术则用于对病态系统进行正则化。提出了测量位置与弹簧反问题条件之间的解析关系。数值结果表明，采用有限元方法求解反问题对测量位置非常敏感。此外，通过数值示例讨论了正则化和噪声对测量位移的影响。

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