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Support position optimization with minimum stiffness for plate structures including support mass

D. Wang, Michael Friswell

Journal of Sound and Vibration, Volume: 499, Start page: 116003

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.jsv.2021.116003

Abstract

The optimum position and minimum restraint stiffness of a flexible point support to raise a natural frequency of a thin bending plate is investigated, with the inclusion of the corresponding additional support mass. First the derivatives of the natural frequencies of the plate structure are derived...

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Published in: Journal of Sound and Vibration
ISSN: 0022-460X
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56191
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last_indexed 2025-01-15T14:03:19Z
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spelling 2025-01-15T11:11:25.3028199 v2 56191 2021-02-04 Support position optimization with minimum stiffness for plate structures including support mass 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2021-02-04 The optimum position and minimum restraint stiffness of a flexible point support to raise a natural frequency of a thin bending plate is investigated, with the inclusion of the corresponding additional support mass. First the derivatives of the natural frequencies of the plate structure are derived with respect to the support movement using a finite element model. Second, the minimum support stiffness is analyzed to raise a plate's natural frequency to a target value by solving a characteristic eigenvalue problem. Then the optimal support design is studied to find the optimal attachment point and the associated minimum stiffness. Several typical examples of plate systems are analyzed with addition of the point supports with non-negligible mass. It appears that including the support mass in the plate vibration analysis can significantly increase the minimum support stiffness required to raise a given natural frequency to its target, whereas the optimal support position remains consistent with the massless support design case. Journal Article Journal of Sound and Vibration 499 116003 Elsevier BV 0022-460X Support additional mass, Optimal support position, Minimum support stiffness, Natural frequency increase, Plate structural system 12 5 2021 2021-05-12 10.1016/j.jsv.2021.116003 COLLEGE NANME COLLEGE CODE Swansea University Not Required 2025-01-15T11:11:25.3028199 2021-02-04T11:06:51.4989647 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering D. Wang 1 Michael Friswell 2 56191__19235__eacc647ab70840be88781f77d1bdecd0.pdf 56191.pdf 2021-02-04T11:08:57.1629505 Output 1017994 application/pdf Accepted Manuscript true 2022-02-03T00:00:00.0000000 ©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Support position optimization with minimum stiffness for plate structures including support mass
spellingShingle Support position optimization with minimum stiffness for plate structures including support mass
Michael Friswell
title_short Support position optimization with minimum stiffness for plate structures including support mass
title_full Support position optimization with minimum stiffness for plate structures including support mass
title_fullStr Support position optimization with minimum stiffness for plate structures including support mass
title_full_unstemmed Support position optimization with minimum stiffness for plate structures including support mass
title_sort Support position optimization with minimum stiffness for plate structures including support mass
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 D. Wang
Michael Friswell
format Journal article
container_title Journal of Sound and Vibration
container_volume 499
container_start_page 116003
publishDate 2021
institution Swansea University
issn 0022-460X
doi_str_mv 10.1016/j.jsv.2021.116003
publisher Elsevier BV
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description The optimum position and minimum restraint stiffness of a flexible point support to raise a natural frequency of a thin bending plate is investigated, with the inclusion of the corresponding additional support mass. First the derivatives of the natural frequencies of the plate structure are derived with respect to the support movement using a finite element model. Second, the minimum support stiffness is analyzed to raise a plate's natural frequency to a target value by solving a characteristic eigenvalue problem. Then the optimal support design is studied to find the optimal attachment point and the associated minimum stiffness. Several typical examples of plate systems are analyzed with addition of the point supports with non-negligible mass. It appears that including the support mass in the plate vibration analysis can significantly increase the minimum support stiffness required to raise a given natural frequency to its target, whereas the optimal support position remains consistent with the massless support design case.
published_date 2021-05-12T05:03:25Z
_version_ 1821380502647472128
score 11.3749895

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