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Mode shape transformation for model error localization with modal strain energy

Zi Huang, Chaoping Zang, Genbei Zhang, Michael Friswell

Journal of Sound and Vibration, Volume: 473, Start page: 115230

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.jsv.2020.115230

Abstract

A modeling error location method based on modal strain energy is presented in this paper. Errors in the design model with shell elements are located by an error indicator which is based on changes between the equivalent modal strain energy and the modal strain energy of the design model. The equival...

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Published in: Journal of Sound and Vibration
ISSN: 0022-460X
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53514
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spelling 2020-02-13T12:29:06.4041990 v2 53514 2020-02-13 Mode shape transformation for model error localization with modal strain energy 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2020-02-13 FGSEN A modeling error location method based on modal strain energy is presented in this paper. Errors in the design model with shell elements are located by an error indicator which is based on changes between the equivalent modal strain energy and the modal strain energy of the design model. The equivalent modal strain energy is defined as a quadratic form using the stiffness matrix of the design model and the mode shape of the reference coming from the sophisticated and high fidelity finite-element model, called the supermodel, or the full-field measurement. The major obstacle to obtain the equivalent modal strain energy is how to match the mode shapes of a solid element and those of a shell element since each node of the solid element contains only three translation degrees of freedom (dofs) while each node of the shell element has six dofs, including three translation and three rotation components. In order to solve this problem, a mode shape transformation method from the solid element to the shell element is proposed using the shape functions or linear approximation. Using this approach, the errors in the design model can be determined and the updating parameters can be selected so that the updated model has physical meaning and can represent the dynamic characteristics of the real structure. The simulation of a simple plate is used initially to illustrate the effectiveness of the proposed method. Then, a rotor test rig casing is taken as an example for further investigation. A comparison of the updating parameters selected by the proposed method and the traditional sensitivity analysis technique is then undertaken. It is verified that the updating parameters selected based on error location have physical sense and represent the true errors in the design model through the updating results. The advantage of this technique is that only detailed mode shapes from the reference is required. The approach shows potential for further industrial engineering applications. Journal Article Journal of Sound and Vibration 473 115230 Elsevier BV 0022-460X Mode shape transformation, Modal strain energy, Error indicator, Error location 12 5 2020 2020-05-12 10.1016/j.jsv.2020.115230 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-02-13T12:29:06.4041990 2020-02-13T12:29:06.4041990 Zi Huang 1 Chaoping Zang 2 Genbei Zhang 3 Michael Friswell 4 53514__16631__7491c7d9a15342a985912b0a9f4a85e6.pdf huang2020.pdf 2020-02-19T15:29:03.1732797 Output 3743023 application/pdf Accepted Manuscript true 2021-02-12T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Mode shape transformation for model error localization with modal strain energy
spellingShingle Mode shape transformation for model error localization with modal strain energy
Michael Friswell
title_short Mode shape transformation for model error localization with modal strain energy
title_full Mode shape transformation for model error localization with modal strain energy
title_fullStr Mode shape transformation for model error localization with modal strain energy
title_full_unstemmed Mode shape transformation for model error localization with modal strain energy
title_sort Mode shape transformation for model error localization with modal strain energy
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Zi Huang
Chaoping Zang
Genbei Zhang
Michael Friswell
format Journal article
container_title Journal of Sound and Vibration
container_volume 473
container_start_page 115230
publishDate 2020
institution Swansea University
issn 0022-460X
doi_str_mv 10.1016/j.jsv.2020.115230
publisher Elsevier BV
document_store_str 1
active_str 0
description A modeling error location method based on modal strain energy is presented in this paper. Errors in the design model with shell elements are located by an error indicator which is based on changes between the equivalent modal strain energy and the modal strain energy of the design model. The equivalent modal strain energy is defined as a quadratic form using the stiffness matrix of the design model and the mode shape of the reference coming from the sophisticated and high fidelity finite-element model, called the supermodel, or the full-field measurement. The major obstacle to obtain the equivalent modal strain energy is how to match the mode shapes of a solid element and those of a shell element since each node of the solid element contains only three translation degrees of freedom (dofs) while each node of the shell element has six dofs, including three translation and three rotation components. In order to solve this problem, a mode shape transformation method from the solid element to the shell element is proposed using the shape functions or linear approximation. Using this approach, the errors in the design model can be determined and the updating parameters can be selected so that the updated model has physical meaning and can represent the dynamic characteristics of the real structure. The simulation of a simple plate is used initially to illustrate the effectiveness of the proposed method. Then, a rotor test rig casing is taken as an example for further investigation. A comparison of the updating parameters selected by the proposed method and the traditional sensitivity analysis technique is then undertaken. It is verified that the updating parameters selected based on error location have physical sense and represent the true errors in the design model through the updating results. The advantage of this technique is that only detailed mode shapes from the reference is required. The approach shows potential for further industrial engineering applications.
published_date 2020-05-12T04:06:29Z
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score 11.012678

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