Wavelet multi-resolution approximation of time-varying frame structure

Engineering structures usually exhibit time-varying behavior when subjected to strong excitation or due to material deterioration. This behavior is one of the key properties affecting the structural performance. Hence, reasonable description and timely tracking of time-varying characteristics of eng...

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Main Authors: Min Xiang, Feng Xiong, Yuanfeng Shi, Kaoshan Dai, Zhibin Ding
Format: Article
Language:English
Published: SAGE Publishing 2018-08-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814018795596
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author Min Xiang
Feng Xiong
Yuanfeng Shi
Kaoshan Dai
Zhibin Ding
author_facet Min Xiang
Feng Xiong
Yuanfeng Shi
Kaoshan Dai
Zhibin Ding
author_sort Min Xiang
collection DOAJ
description Engineering structures usually exhibit time-varying behavior when subjected to strong excitation or due to material deterioration. This behavior is one of the key properties affecting the structural performance. Hence, reasonable description and timely tracking of time-varying characteristics of engineering structures are necessary for their safety assessment and life-cycle management. Due to its powerful ability of approximating functions in the time–frequency domain, wavelet multi-resolution approximation has been widely applied in the field of parameter estimation. Considering that the damage levels of beams and columns are usually different, identification of time-varying structural parameters of frame structure under seismic excitation using wavelet multi-resolution approximation is studied in this article. A time-varying dynamical model including both the translational and rotational degrees of freedom is established so as to estimate the stiffness coefficients of beams and columns separately. By decomposing each time-varying structural parameter using one wavelet multi-resolution approximation, the time-varying parametric identification problem is transformed into a time-invariant non-parametric one. In solving the high number of regressors in the non-parametric regression program, the modified orthogonal forward regression algorithm is proposed for significant term selection and parameter estimation. This work is demonstrated through numerical examples which consider both gradual variation and abrupt changes in the structural parameters.
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spelling doaj.art-f2d83a9210c1430fb7d262296436c4d62022-12-22T00:02:23ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402018-08-011010.1177/1687814018795596Wavelet multi-resolution approximation of time-varying frame structureMin Xiang0Feng Xiong1Yuanfeng Shi2Kaoshan Dai3Zhibin Ding4Department of Civil Engineering, College of Architecture and Environment, Sichuan University, Chengdu, ChinaMOE Key Laboratory of Deep Underground Science and Engineering, Sichuan University, Chengdu, ChinaMOE Key Laboratory of Deep Underground Science and Engineering, Sichuan University, Chengdu, ChinaMOE Key Laboratory of Deep Underground Science and Engineering, Sichuan University, Chengdu, ChinaDepartment of Civil Engineering, College of Architecture and Environment, Sichuan University, Chengdu, ChinaEngineering structures usually exhibit time-varying behavior when subjected to strong excitation or due to material deterioration. This behavior is one of the key properties affecting the structural performance. Hence, reasonable description and timely tracking of time-varying characteristics of engineering structures are necessary for their safety assessment and life-cycle management. Due to its powerful ability of approximating functions in the time–frequency domain, wavelet multi-resolution approximation has been widely applied in the field of parameter estimation. Considering that the damage levels of beams and columns are usually different, identification of time-varying structural parameters of frame structure under seismic excitation using wavelet multi-resolution approximation is studied in this article. A time-varying dynamical model including both the translational and rotational degrees of freedom is established so as to estimate the stiffness coefficients of beams and columns separately. By decomposing each time-varying structural parameter using one wavelet multi-resolution approximation, the time-varying parametric identification problem is transformed into a time-invariant non-parametric one. In solving the high number of regressors in the non-parametric regression program, the modified orthogonal forward regression algorithm is proposed for significant term selection and parameter estimation. This work is demonstrated through numerical examples which consider both gradual variation and abrupt changes in the structural parameters.https://doi.org/10.1177/1687814018795596
spellingShingle Min Xiang
Feng Xiong
Yuanfeng Shi
Kaoshan Dai
Zhibin Ding
Wavelet multi-resolution approximation of time-varying frame structure
Advances in Mechanical Engineering
title Wavelet multi-resolution approximation of time-varying frame structure
title_full Wavelet multi-resolution approximation of time-varying frame structure
title_fullStr Wavelet multi-resolution approximation of time-varying frame structure
title_full_unstemmed Wavelet multi-resolution approximation of time-varying frame structure
title_short Wavelet multi-resolution approximation of time-varying frame structure
title_sort wavelet multi resolution approximation of time varying frame structure
url https://doi.org/10.1177/1687814018795596
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AT fengxiong waveletmultiresolutionapproximationoftimevaryingframestructure
AT yuanfengshi waveletmultiresolutionapproximationoftimevaryingframestructure
AT kaoshandai waveletmultiresolutionapproximationoftimevaryingframestructure
AT zhibinding waveletmultiresolutionapproximationoftimevaryingframestructure