A Comprehensive Study of the Free Vibration of Rectangular Plates Resting on Symmetrically-Distributed Uniform Elastic Edge SupportsSource: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004::page 893Author:D. J. Gorman
DOI: 10.1115/1.3176188Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytical-type solution is developed for the free vibration analysis of rectangular plates with uniform elastic edge support symmetrically distributed about the plate central axes. Both linear elastic rotational and translational support are considered to act simultaneously. Rapid convergence is encountered. Because of the symmetry of the problem, the free vibration modes fall into three distinct families. Eigenvalues are tabulated for the first four modes of vibration of a square plate with identical stiffnesses on each edge and with various ratios of translational to rotational stiffnesses. This represents, to the author’s knowledge, the first comprehensive treatment of this problem.
keyword(s): Plates (structures) , Free vibrations , Vibration AND Eigenvalues ,
|
Collections
Show full item record
| contributor author | D. J. Gorman | |
| date accessioned | 2017-05-08T23:29:02Z | |
| date available | 2017-05-08T23:29:02Z | |
| date copyright | December, 1989 | |
| date issued | 1989 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26315#893_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/104867 | |
| description abstract | An analytical-type solution is developed for the free vibration analysis of rectangular plates with uniform elastic edge support symmetrically distributed about the plate central axes. Both linear elastic rotational and translational support are considered to act simultaneously. Rapid convergence is encountered. Because of the symmetry of the problem, the free vibration modes fall into three distinct families. Eigenvalues are tabulated for the first four modes of vibration of a square plate with identical stiffnesses on each edge and with various ratios of translational to rotational stiffnesses. This represents, to the author’s knowledge, the first comprehensive treatment of this problem. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Comprehensive Study of the Free Vibration of Rectangular Plates Resting on Symmetrically-Distributed Uniform Elastic Edge Supports | |
| type | Journal Paper | |
| journal volume | 56 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3176188 | |
| journal fristpage | 893 | |
| journal lastpage | 899 | |
| identifier eissn | 1528-9036 | |
| keywords | Plates (structures) | |
| keywords | Free vibrations | |
| keywords | Vibration AND Eigenvalues | |
| tree | Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004 | |
| contenttype | Fulltext |