Title: Vibration modes of a single plate with general boundary conditions
Authors: Phamová, Lucie
Vampola, Tomáš
Citation: Applied and Computational Mechanics. 2016, vol. 10, no. 1, p. 49-56.
Issue Date: 2016
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/acm/article/view/302
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: tenký plech;vibrační uzel;přirozená frekvence
Keywords in different language: thin plate;vibration modes;natural frequency
Abstract: This paper deals with free flexural vibration modes and natural frequencies of a thin plate with general boundary conditions — a simply supported plate connected to its surroundings with torsional springs. Vibration modes were derived on the basis of the Rajalingham, Bhat and Xistris approach. This approach was originally used for a clamped thin plate, so its adaptation was needed. The plate vibration function was usually expressed as a single partial differential equation. This partial differential equation was transformed into two ordinary differential equations that can be solved in the simpler way. Theoretical background of the computations is briefly described. Vibration modes of the supported plate with torsional springs are presented graphically and numerically for three different values of stiffness of torsional springs.
Rights: © 2016 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 10, number 1 (2016)
Volume 10, number 1 (2016)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/21635

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