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- Title
Three-Dimensional Vibration of an Isotropic Plate Enclosed in a Rigid Body.
- Authors
Gul, Ufuk; Aydogdu, Metin
- Abstract
In this study, vibration of plates embedded in a rigid enclosure has been investigated analytically for the first time in the literature. It is assumed that the isotropic plate is always in contact with outer enclosure. Therefore, the normal displacement at a boundary surface is constrained but tangential displacement at a surface is allowed. The displacement field is assumed in trigonometric function form. This analytical solution is the only available exact solution of three-dimensional isotropic plate. Numerical results were presented for various geometrical parameters. It is believed that the present formulation and the results can be used as a benchmark for the numerical methods where the exact solution is not possible.
- Subjects
RIGID body mechanics; VIBRATION (Mechanics); TRIGONOMETRIC functions; NUMERICAL analysis; PARAMETER estimation
- Publication
Hittite Journal of Science & Engineering, 2022, Vol 9, Issue 3, p167
- ISSN
2149-2123
- Publication type
Academic Journal
- DOI
10.17350/HJSE19030000268