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

Agnieszka Lenartowicz; Maciej Przychodzki; Michał Guminiak; Tomasz Garbowski

doi:10.3390/ma14216616

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Title

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

Authors

Agnieszka Lenartowicz (WILiT) ^{[ 1 ][ 2.7 ][ SzD ]}
Maciej Przychodzki (WILiT) ^{[ 1 ][ 2.7 ][ P ]}
Michał Guminiak (WILiT) ^{[ 1 ][ 2.7 ][ P ]}
Tomasz Garbowski

^{[ 1 ]} Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | ^{[ SzD ]} doctoral school student | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering and transport

Year of publication

2021

Published in

Materials

Journal year: 2021 | Journal volume: vol. 14 | Journal number: no. 21

Article type

scientific article

Publication language

english

Keywords

EN

particle swarm optimization
finite element method
viscoelastic vibration dampers
thin plates
non-dimensional damping ratio
continuation method
optimal placement of dampers

Abstract

EN 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.

Date of online publication

03.11.2021

Pages (from - to)

6616-1 - 6616-16

DOI

10.3390/ma14216616

URL

https://www.mdpi.com/1996-1944/14/21/6616/htm

Comments

Article Number: 6616

License type

CC BY (attribution alone)