Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method

The main subject of this study is to determine the optimal position of a fixed number of viscoelastic dampers on the surface of a thin (Kirchhoff-Love) plate. It is assumed that the dampers are described according to the generalized Maxwell model. In order to determine the optimal position of the da...

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Autores principales:	Agnieszka Lenartowicz, Maciej Przychodzki, Michał Guminiak, Tomasz Garbowski
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	particle swarm optimization finite element method viscoelastic vibration dampers thin plates non-dimensional damping ratio continuation method Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/4eb3ac27b1f74a658983063595cb9f90
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spelling	oai:doaj.org-article:4eb3ac27b1f74a658983063595cb9f902021-11-11T18:08:59ZOptimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method10.3390/ma142166161996-1944https://doaj.org/article/4eb3ac27b1f74a658983063595cb9f902021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/21/6616https://doaj.org/toc/1996-1944The main subject of this study is to determine the optimal position of a fixed number of viscoelastic dampers on the surface of a thin (Kirchhoff-Love) plate. It is assumed that the dampers are described according to the generalized Maxwell model. In order to determine the optimal position of the dampers, a metaheuristic optimization method is used, called the particle swarm optimization method. The non-dimensional damping ratio of the first mode of the plate vibrations is assumed as an objective function in the task. The dynamic characteristics of the plate with dampers are determined by solving the non-linear eigenproblem using the continuation method. The finite element method is used to determine the stiffness matrix and the mass matrix occurring in the considered eigenproblem. The results of exemplary numerical calculations are also presented, where the final optimal arrangement of dampers on the surface of sample plates with different boundary conditions is shown graphically.Agnieszka LenartowiczMaciej PrzychodzkiMichał GuminiakTomasz GarbowskiMDPI AGarticleparticle swarm optimizationfinite element methodviscoelastic vibration dampersthin platesnon-dimensional damping ratiocontinuation methodTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6616, p 6616 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	particle swarm optimization finite element method viscoelastic vibration dampers thin plates non-dimensional damping ratio continuation method Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	particle swarm optimization finite element method viscoelastic vibration dampers thin plates non-dimensional damping ratio continuation method Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Agnieszka Lenartowicz Maciej Przychodzki Michał Guminiak Tomasz Garbowski Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
description	The main subject of this study is to determine the optimal position of a fixed number of viscoelastic dampers on the surface of a thin (Kirchhoff-Love) plate. It is assumed that the dampers are described according to the generalized Maxwell model. In order to determine the optimal position of the dampers, a metaheuristic optimization method is used, called the particle swarm optimization method. The non-dimensional damping ratio of the first mode of the plate vibrations is assumed as an objective function in the task. The dynamic characteristics of the plate with dampers are determined by solving the non-linear eigenproblem using the continuation method. The finite element method is used to determine the stiffness matrix and the mass matrix occurring in the considered eigenproblem. The results of exemplary numerical calculations are also presented, where the final optimal arrangement of dampers on the surface of sample plates with different boundary conditions is shown graphically.
format	article
author	Agnieszka Lenartowicz Maciej Przychodzki Michał Guminiak Tomasz Garbowski
author_facet	Agnieszka Lenartowicz Maciej Przychodzki Michał Guminiak Tomasz Garbowski
author_sort	Agnieszka Lenartowicz
title	Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
title_short	Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
title_full	Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
title_fullStr	Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
title_full_unstemmed	Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method
title_sort	optimal placement of viscoelastic vibration dampers for kirchhoff plates based on pso method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/4eb3ac27b1f74a658983063595cb9f90
work_keys_str_mv	AT agnieszkalenartowicz optimalplacementofviscoelasticvibrationdampersforkirchhoffplatesbasedonpsomethod AT maciejprzychodzki optimalplacementofviscoelasticvibrationdampersforkirchhoffplatesbasedonpsomethod AT michałguminiak optimalplacementofviscoelasticvibrationdampersforkirchhoffplatesbasedonpsomethod AT tomaszgarbowski optimalplacementofviscoelasticvibrationdampersforkirchhoffplatesbasedonpsomethod
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Optimal Placement of Viscoelastic Vibration Dampers for Kirchhoff Plates Based on PSO Method

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