基于小波的时变自适应结构分析
Wavelet-based analysis of time-variant adaptive structures.
作者信息
Dziedziech Kajetan, Nowak Alexander, Hasse Alexander, Uhl Tadeusz, Staszewski Wiesław J
机构信息
Department of Robotics and Mechatronics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland.
Chemnitz University of Technology, Professorship of Machine Elements and Product Development, Reichenhainer Strasse 70, 09126 Chemnitz, Germany.
出版信息
Philos Trans A Math Phys Eng Sci. 2018 Aug 13;376(2126). doi: 10.1098/rsta.2017.0245.
Wavelet analysis is applied to identify the time-variant dynamics of adaptive structures. The wavelet-based power spectrum of the structural response, wavelet-based frequency response function (FRF) and wavelet-based coherence are used to identify continuously and abruptly varying natural frequencies. A cantilever plate with surface-bonded macro fibre composite-which alters the structural stiffness-is used to demonstrate the application of the methods. The results show that the wavelet-based input-output characteristics-i.e. the FRF and coherence-can identify correctly the dynamics of the analysed time-variant system and reveal the varying natural frequency. The wavelet-based coherence can be used not only for the assessment of the quality of the wavelet-based FRF but also for the identification.This article is part of the theme issue 'Redundancy rules: the continuous wavelet transform comes of age'.
小波分析用于识别自适应结构的时变动力学。基于小波的结构响应功率谱、基于小波的频率响应函数（FRF）和基于小波的相干性用于识别连续和突然变化的固有频率。使用一个表面粘贴有宏观纤维复合材料（它会改变结构刚度）的悬臂板来演示这些方法的应用。结果表明，基于小波的输入输出特性，即FRF和相干性，可以正确识别所分析的时变系统的动力学，并揭示变化的固有频率。基于小波的相干性不仅可用于评估基于小波的FRF的质量，还可用于识别。本文是主题为“冗余规则：连续小波变换走向成熟”的一部分。
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