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L_1-Regularization Functions for the SI of Structures

机译:结构SI的L_1正则化函数

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摘要

A new class of regularization functions is proposed for the system identification in structures. The regularity conditions based on the L_1-norm for the system property of framed and continuous structures are investigated. The discretized regularity condition is expressed by the 1-norm of the system parameters. The L_1-truncated singular value decomposition (L_1-TSVD) is employed to filter out noise-polluted solution components and to impose the regularity condition. The validity of the proposed method is demonstrated through isolating damage in a 2-span continuous truss and an inclusion in a square plate.
机译:提出了一类新的正则化函数,用于结构中的系统识别。研究了基于L_1范数的框架结构和连续结构系统特性的正则条件。离散规律性条件由系统参数的1范数表示。采用L_1截断的奇异值分解(L_1-TSVD)过滤掉受噪声污染的解分量,并施加规则性条件。通过隔离2跨连续桁架中的损伤和方板中的夹杂物,证明了该方法的有效性。

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