Szűcs, Nóra and Szeidl, György (2017) Vibration of circular plates subjected to constant radial load in their plane. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 12 (1). pp. 57-76. ISSN 1586-2070
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Abstract
The present paper deals with the vibration of circular plates provided that the plates are prestressed in such a way that the stresses due to the in-plane load are constants. We have determined the Green functions of the governing equations. The self adjoint eigenvalue problems giving the natural frequencies are replaced by homogenous Fredholm integral equations for which the symmetric Green functions constitute the kernel. According to the numerical solution the square of the natural frequencies is linear, or approximately linear functions of the constant in plane load.
| Item Type: | Article |
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| Uncontrolled Keywords: | circular plates, Green functions, natural frequencies, critical load |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 18 Jan 2026 12:16 |
| Last Modified: | 18 Jan 2026 12:16 |
| URI: | https://real.mtak.hu/id/eprint/232191 |
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