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Further investigation on 'A multiplicative regularization for force reconstruction'

机译：对“用于力重建的乘法正则化”的进一步研究

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摘要

We have recently proposed a multiplicative regularization to reconstruct mechanical forces acting on a structure from vibration measurements. This method does not require any selection procedure for choosing the regularization parameter, since the amount of regularization is automatically adjusted throughout an iterative resolution process. The proposed iterative algorithm has been developed with performance and efficiency in mind, but it is actually a simplified version of a full iterative procedure not described in the original paper. The present paper aims at introducing the full resolution algorithm and comparing it with its simplified version in terms of computational efficiency and solution accuracy. In particular, it is shown that both algorithms lead to very similar identified solutions.
机译：我们最近提出了乘法正则化，以通过振动测量来重构作用在结构上的机械力。该方法不需要任何选择过程来选择正则化参数，因为正则化的量会在整个迭代解析过程中自动进行调整。所提出的迭代算法的开发考虑了性能和效率，但实际上是原始论文中未描述的完整迭代过程的简化版本。本文旨在介绍全分辨率算法，并将其与简化版本进行比较，以提高计算效率和求解精度。特别地，显示出两种算法都导致非常相似的识别解决方案。

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