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Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data

Xing Wang, Hamed Haddad Khodaparast Orcid Logo, Alexander Shaw Orcid Logo, Michael Friswell, Gangtie Zheng

Mechanical Systems and Signal Processing, Volume: 99, Pages: 364 - 383

Swansea University Authors: Hamed Haddad Khodaparast Orcid Logo, Alexander Shaw Orcid Logo, Michael Friswell

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Abstract

This paper presents a procedure to localise nonlinear elements using spatially incomplete measured frequency response data from the structural vibration test. The method does not require measurements of all the responses associated with nonlinear elements and the information about the types of nonli...

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Published in: Mechanical Systems and Signal Processing
ISSN: 0888-3270
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa34519
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spelling 2021-01-14T13:07:26.1950659 v2 34519 2017-06-29 Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data f207b17edda9c4c3ea074cbb7555efc1 0000-0002-3721-4980 Hamed Haddad Khodaparast Hamed Haddad Khodaparast true false 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2017-06-29 AERO This paper presents a procedure to localise nonlinear elements using spatially incomplete measured frequency response data from the structural vibration test. The method does not require measurements of all the responses associated with nonlinear elements and the information about the types of nonlinear elements. In this procedure, the Craig-Bampton reduction method is employed to reduce the dynamic equation onto the measured region and to project the nonlinear forces onto the measured degrees of freedom (DOFs), which are then called reduced nonlinear forces (RNFs). It is shown that the reduced nonlinear forces are the sum of the measured nonlinear forces and the projections of the unmeasured nonlinear forces through the transpose of linear constraint modes. Therefore, by analysing and comparing the magnitude of the reduced nonlinear forces obtained from experiments with the linear constraint modes, we can localise the nonlinear elements without directly measuring their responses. Numerical simulations of a discrete system with two nonlinearities and experimental data from a clamped beam with a nonlinear connection are used to validate the localisation procedure. Journal Article Mechanical Systems and Signal Processing 99 364 383 0888-3270 Nonlinear model updating; Spatially incomplete measurement; Localisation of nonlinear elements 1 1 2018 2018-01-01 10.1016/j.ymssp.2017.06.021 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2021-01-14T13:07:26.1950659 2017-06-29T11:38:18.2223640 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Xing Wang 1 Hamed Haddad Khodaparast 0000-0002-3721-4980 2 Alexander Shaw 0000-0002-7521-827X 3 Michael Friswell 4 Gangtie Zheng 5 0034519-29062017134720.pdf xing2017.pdf 2017-06-29T13:47:20.2730000 Output 4584943 application/pdf Accepted Manuscript true 2018-06-29T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng
title Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
spellingShingle Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
Hamed Haddad Khodaparast
Alexander Shaw
Michael Friswell
title_short Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
title_full Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
title_fullStr Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
title_full_unstemmed Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
title_sort Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data
author_id_str_mv f207b17edda9c4c3ea074cbb7555efc1
10cb5f545bc146fba9a542a1d85f2dea
5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv f207b17edda9c4c3ea074cbb7555efc1_***_Hamed Haddad Khodaparast
10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw
5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Hamed Haddad Khodaparast
Alexander Shaw
Michael Friswell
author2 Xing Wang
Hamed Haddad Khodaparast
Alexander Shaw
Michael Friswell
Gangtie Zheng
format Journal article
container_title Mechanical Systems and Signal Processing
container_volume 99
container_start_page 364
publishDate 2018
institution Swansea University
issn 0888-3270
doi_str_mv 10.1016/j.ymssp.2017.06.021
college_str Faculty of Science and Engineering
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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 1
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description This paper presents a procedure to localise nonlinear elements using spatially incomplete measured frequency response data from the structural vibration test. The method does not require measurements of all the responses associated with nonlinear elements and the information about the types of nonlinear elements. In this procedure, the Craig-Bampton reduction method is employed to reduce the dynamic equation onto the measured region and to project the nonlinear forces onto the measured degrees of freedom (DOFs), which are then called reduced nonlinear forces (RNFs). It is shown that the reduced nonlinear forces are the sum of the measured nonlinear forces and the projections of the unmeasured nonlinear forces through the transpose of linear constraint modes. Therefore, by analysing and comparing the magnitude of the reduced nonlinear forces obtained from experiments with the linear constraint modes, we can localise the nonlinear elements without directly measuring their responses. Numerical simulations of a discrete system with two nonlinearities and experimental data from a clamped beam with a nonlinear connection are used to validate the localisation procedure.
published_date 2018-01-01T03:42:24Z
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