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首页> 外文期刊>International Journal of Solids and Structures >Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam
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Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam

机译：使用小波变换估计的Lipschitz指数进行损伤检测：应用于梁的振动模式

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Damage detection by the wavelet transform of the fundamental vibration mode receives much attention recently. Many investigations report successful applications of the wavelet transform in damage detection. but most of them appear to lack theoretical justifications. The objective of this contribution is to show the effectiveness of the wavelet transform by means of its capability to estimate the Lipschitz exponent, It is also addressed that the magnitude of the Lipschitz exponent can be used as a useful indicator of the damage extent. As a specific example, damaged beams are investigated both numerically and experimentally. The continuous wavelet transform (CWT) by a Mexican hat wavelet having two vanishing moments is utilized for the estimation of the Lipschitz exponent. The analysis by the CWT also gives a guideline to choose appropriate discrete wavelet transforms. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 15]
机译：最近，通过基本振动模式的小波变换进行的损伤检测受到了广泛的关注。许多研究报告了小波变换在损伤检测中的成功应用。但其中大多数似乎缺乏理论依据。该贡献的目的是通过其估计Lipschitz指数的能力来展示小波变换的有效性。还解决了Lipschitz指数的大小可以用作损伤程度的有用指标的问题。作为一个具体示例，对受损的梁进行了数值和实验研究。具有两个消失矩的墨西哥帽小波的连续小波变换（CWT）被用于Lipschitz指数的估计。 CWT的分析还为选择合适的离散小波变换提供了指导。 （C）2002 Elsevier ScienceLtd。保留所有权利。 [参考：15]

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