An inverse method for distributed dynamic load identification of structures with interval uncertainties

A time-domain based method for distributed dynamic load identification is proposed in this study considering unknown-but-bounded uncertainties in structural systems. The spatiotemporal dynamic load is further approximated by Chebyshev orthogonal polynomial in time history. Thus, the problem of distr...

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Main Authors: Wang, Lei, Liu, Yaru, Liu, Yisi
Other Authors: School of Civil and Environmental Engineering
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/152187
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author Wang, Lei
Liu, Yaru
Liu, Yisi
author2 School of Civil and Environmental Engineering
author_facet School of Civil and Environmental Engineering
Wang, Lei
Liu, Yaru
Liu, Yisi
author_sort Wang, Lei
collection NTU
description A time-domain based method for distributed dynamic load identification is proposed in this study considering unknown-but-bounded uncertainties in structural systems. The spatiotemporal dynamic load is further approximated by Chebyshev orthogonal polynomial in time history. Thus, the problem of distributed load reconstruction may be converted into the issue of polynomial coefficient calculation at each sampling time by utilizing a series of dynamic analysis. In accordance with the practical engineering, the acceleration response is used as the system input. In terms of the uncertainty quantification problems, the interval analysis method based on Taylor expansion (IAMBTE) is systematically developed to accomplish the envelope interval of identified load. To facilitate the analysis, two kinds of load are required to be identified, among which the nominal value of the identified load may be straightforwardly achieved through the inverse system, whereas the interval boundaries should be settled by the interval propagation analysis. Eventually, two numerical examples are investigated to demonstrate the efficiency and precision of the developed methodology.
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spelling ntu-10356/1521872021-07-21T05:13:51Z An inverse method for distributed dynamic load identification of structures with interval uncertainties Wang, Lei Liu, Yaru Liu, Yisi School of Civil and Environmental Engineering Engineering::Civil engineering Distributed Dynamic Load Identification Inverse Problem A time-domain based method for distributed dynamic load identification is proposed in this study considering unknown-but-bounded uncertainties in structural systems. The spatiotemporal dynamic load is further approximated by Chebyshev orthogonal polynomial in time history. Thus, the problem of distributed load reconstruction may be converted into the issue of polynomial coefficient calculation at each sampling time by utilizing a series of dynamic analysis. In accordance with the practical engineering, the acceleration response is used as the system input. In terms of the uncertainty quantification problems, the interval analysis method based on Taylor expansion (IAMBTE) is systematically developed to accomplish the envelope interval of identified load. To facilitate the analysis, two kinds of load are required to be identified, among which the nominal value of the identified load may be straightforwardly achieved through the inverse system, whereas the interval boundaries should be settled by the interval propagation analysis. Eventually, two numerical examples are investigated to demonstrate the efficiency and precision of the developed methodology. The authors would like to thank the National Nature Science Foundation of China (11602012, 11432002), the Pre-research Field Foundation of Equipment Development Department of China (61402100103), the Aeronautical Science Foundation of China (2017ZA51012), and the Defense Industrial Technology Development Program (JCKY2016204B101, JCKY2017208B001) for the financial supports. Besides, the authors wish to express their many thanks to the reviewers for their useful and constructive comments. 2021-07-21T05:13:50Z 2021-07-21T05:13:50Z 2019 Journal Article Wang, L., Liu, Y. & Liu, Y. (2019). An inverse method for distributed dynamic load identification of structures with interval uncertainties. Advances in Engineering Software, 131, 77-89. https://dx.doi.org/10.1016/j.advengsoft.2019.02.003 0965-9978 https://hdl.handle.net/10356/152187 10.1016/j.advengsoft.2019.02.003 2-s2.0-85062875625 131 77 89 en Advances in Engineering Software © 2019 Elsevier Ltd. All rights reserved.
spellingShingle Engineering::Civil engineering
Distributed Dynamic Load Identification
Inverse Problem
Wang, Lei
Liu, Yaru
Liu, Yisi
An inverse method for distributed dynamic load identification of structures with interval uncertainties
title An inverse method for distributed dynamic load identification of structures with interval uncertainties
title_full An inverse method for distributed dynamic load identification of structures with interval uncertainties
title_fullStr An inverse method for distributed dynamic load identification of structures with interval uncertainties
title_full_unstemmed An inverse method for distributed dynamic load identification of structures with interval uncertainties
title_short An inverse method for distributed dynamic load identification of structures with interval uncertainties
title_sort inverse method for distributed dynamic load identification of structures with interval uncertainties
topic Engineering::Civil engineering
Distributed Dynamic Load Identification
Inverse Problem
url https://hdl.handle.net/10356/152187
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AT wanglei inversemethodfordistributeddynamicloadidentificationofstructureswithintervaluncertainties
AT liuyaru inversemethodfordistributeddynamicloadidentificationofstructureswithintervaluncertainties
AT liuyisi inversemethodfordistributeddynamicloadidentificationofstructureswithintervaluncertainties