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Spectral element-based method for a one-dimensional damaged structure with distributed random properties

M. R. Machado, S. Adhikari, J. M. C. Dos Santos, Sondipon Adhikari

Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume: 40, Issue: 9

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1007/s40430-018-1330-2

Abstract

Stochastic methods have received considerable attention because they address the randomness present in structural numerical models. Uncertainties represent important events in dynamic systems regarding vibration response prediction, especially in the mid- and high-frequency ranges, when responses ha...

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Published in: Journal of the Brazilian Society of Mechanical Sciences and Engineering
ISSN: 1678-5878 1806-3691
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa43553
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first_indexed 2018-08-23T19:44:05Z
last_indexed 2018-11-16T20:13:23Z
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spelling 2018-11-16T14:14:41.1575598 v2 43553 2018-08-23 Spectral element-based method for a one-dimensional damaged structure with distributed random properties 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2018-08-23 FGSEN Stochastic methods have received considerable attention because they address the randomness present in structural numerical models. Uncertainties represent important events in dynamic systems regarding vibration response prediction, especially in the mid- and high-frequency ranges, when responses have higher dispersions. The spectral element method (SEM) is suitable for analysing wave propagation problems based on large frequency ranges. It is a powerful tool for structural health monitoring. This paper unifies these two techniques to use the SEM with distributed randomness in the system parameters to model structural damage. Parameters are assumed to be distributed along the structure and expressed as a random field, which are expanded in the Karhunen–Loève spectral decomposition and memoryless transformation. A frequency-dependent stochastic stiffness and mass element matrices are formulated for bending vibration. Closed-form expressions are derived by the Karhunen–Loève expansion. Numerical examples are used to address the proposed methodology. Journal Article Journal of the Brazilian Society of Mechanical Sciences and Engineering 40 9 1678-5878 1806-3691 Spectral element method, Uncertainty quantification, Karhunen–Loève expansion, Memoryless transformation 31 12 2018 2018-12-31 10.1007/s40430-018-1330-2 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2018-11-16T14:14:41.1575598 2018-08-23T15:37:29.4832946 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised M. R. Machado 1 S. Adhikari 2 J. M. C. Dos Santos 3 Sondipon Adhikari 4
title Spectral element-based method for a one-dimensional damaged structure with distributed random properties
spellingShingle Spectral element-based method for a one-dimensional damaged structure with distributed random properties
Sondipon Adhikari
title_short Spectral element-based method for a one-dimensional damaged structure with distributed random properties
title_full Spectral element-based method for a one-dimensional damaged structure with distributed random properties
title_fullStr Spectral element-based method for a one-dimensional damaged structure with distributed random properties
title_full_unstemmed Spectral element-based method for a one-dimensional damaged structure with distributed random properties
title_sort Spectral element-based method for a one-dimensional damaged structure with distributed random properties
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 M. R. Machado
S. Adhikari
J. M. C. Dos Santos
Sondipon Adhikari
format Journal article
container_title Journal of the Brazilian Society of Mechanical Sciences and Engineering
container_volume 40
container_issue 9
publishDate 2018
institution Swansea University
issn 1678-5878
1806-3691
doi_str_mv 10.1007/s40430-018-1330-2
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
active_str 0
description Stochastic methods have received considerable attention because they address the randomness present in structural numerical models. Uncertainties represent important events in dynamic systems regarding vibration response prediction, especially in the mid- and high-frequency ranges, when responses have higher dispersions. The spectral element method (SEM) is suitable for analysing wave propagation problems based on large frequency ranges. It is a powerful tool for structural health monitoring. This paper unifies these two techniques to use the SEM with distributed randomness in the system parameters to model structural damage. Parameters are assumed to be distributed along the structure and expressed as a random field, which are expanded in the Karhunen–Loève spectral decomposition and memoryless transformation. A frequency-dependent stochastic stiffness and mass element matrices are formulated for bending vibration. Closed-form expressions are derived by the Karhunen–Loève expansion. Numerical examples are used to address the proposed methodology.
published_date 2018-12-31T03:54:47Z
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score 11.036334

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