Proceedings Vol. 30 (2024)
ENGINEERING MECHANICS 2024
May 14 – 16, 2024, Milovy, Czech Republic
Copyright © 2024 Brno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 178 - 181, full text
Free axisymmetric vibration analysis of a porous annular plate is presented in this paper. Both the edges of the plate are elastically restrained against rotation and translation. The classical plate theory is used to develop the mathematical model. The mechanical properties are varying in thickness direction. The Haar wavelets are used in the analysis. The highest order derivative is approximated by Haar wavelets and a generalized eigenvalue problem is obtained. The first three frequencies for different combinations of restraint parameters, radii ratio and porosity coefficient are obtained. The present analysis is validated by a convergence study. The frequencies for classical boundary conditions are obtained by assuming particular values of restraint parameters and compared with those available in the literature. A close agreement of results is observed.
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