Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method

Local modal vibration could adversely affect the dynamical environment, which should be considered in the structural design. For the mode switching phenomena, the traditional structural optimization method for problems with specific order of modal frequency constraints could not be directly applied...

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Autores principales:	Shenyan Chen, Ziqi Dai, Wenjing Shi, Yanjie Liu, Jianhongyu Li
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	structural vibration structural optimization frequency constraint local mode Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/d27edb12a65646e4ac32f351ec1209bf
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spelling	oai:doaj.org-article:d27edb12a65646e4ac32f351ec1209bf2021-11-25T16:43:41ZLocal Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method10.3390/app1122110722076-3417https://doaj.org/article/d27edb12a65646e4ac32f351ec1209bf2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/11072https://doaj.org/toc/2076-3417Local modal vibration could adversely affect the dynamical environment, which should be considered in the structural design. For the mode switching phenomena, the traditional structural optimization method for problems with specific order of modal frequency constraints could not be directly applied to solve problems with local frequency constraints. In the present work, a novel approximation technique without mode tracking is proposed. According to the structural character, three reasonable assumptions, unchanged mass matrix, accordant modal shape, and reversible stiffness matrix, have been used to transform the optimization problem with local frequency constraints into a problem with nodal displacement constraints in the local area. The static load case is created with the modal shape equilibrium forces, then the displacement constrained optimization is relatively easily solved to obtain the optimal design, which satisfies the local frequency constraints as well. A numerical example is used to verify the feasibility of the proposed approximation method. Then, the method is further applied in a satellite structure optimization problem.Shenyan ChenZiqi DaiWenjing ShiYanjie LiuJianhongyu LiMDPI AGarticlestructural vibrationstructural optimizationfrequency constraintlocal modeTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 11072, p 11072 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	structural vibration structural optimization frequency constraint local mode Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	structural vibration structural optimization frequency constraint local mode Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Shenyan Chen Ziqi Dai Wenjing Shi Yanjie Liu Jianhongyu Li Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
description	Local modal vibration could adversely affect the dynamical environment, which should be considered in the structural design. For the mode switching phenomena, the traditional structural optimization method for problems with specific order of modal frequency constraints could not be directly applied to solve problems with local frequency constraints. In the present work, a novel approximation technique without mode tracking is proposed. According to the structural character, three reasonable assumptions, unchanged mass matrix, accordant modal shape, and reversible stiffness matrix, have been used to transform the optimization problem with local frequency constraints into a problem with nodal displacement constraints in the local area. The static load case is created with the modal shape equilibrium forces, then the displacement constrained optimization is relatively easily solved to obtain the optimal design, which satisfies the local frequency constraints as well. A numerical example is used to verify the feasibility of the proposed approximation method. Then, the method is further applied in a satellite structure optimization problem.
format	article
author	Shenyan Chen Ziqi Dai Wenjing Shi Yanjie Liu Jianhongyu Li
author_facet	Shenyan Chen Ziqi Dai Wenjing Shi Yanjie Liu Jianhongyu Li
author_sort	Shenyan Chen
title	Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
title_short	Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
title_full	Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
title_fullStr	Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
title_full_unstemmed	Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
title_sort	local modal frequency improvement with optimal stiffener by constraints transformation method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d27edb12a65646e4ac32f351ec1209bf
work_keys_str_mv	AT shenyanchen localmodalfrequencyimprovementwithoptimalstiffenerbyconstraintstransformationmethod AT ziqidai localmodalfrequencyimprovementwithoptimalstiffenerbyconstraintstransformationmethod AT wenjingshi localmodalfrequencyimprovementwithoptimalstiffenerbyconstraintstransformationmethod AT yanjieliu localmodalfrequencyimprovementwithoptimalstiffenerbyconstraintstransformationmethod AT jianhongyuli localmodalfrequencyimprovementwithoptimalstiffenerbyconstraintstransformationmethod
_version_	1718413044905672704

Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method

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