Accurate Analytical-Type Solutions for the Free Vibration of Simply-Supported Parallelogram PlatesSource: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001::page 203Author:D. J. Gorman
DOI: 10.1115/1.2897151Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A comprehensive study of the free vibration of simply-supported parallelogram plates is conducted. Solutions are obtained by utilizing the superposition method and by taking advantage of symmetry inherent in the problem. Toward this end a new alternating Lévy-type solution is introduced. Verification tests are conducted by comparing computed eigenvalues with those of rhombic plates in the special case where all plate edges are of equal length. Eigenvalues are stored for eight vibration modes and for a wide range of plate geometry.
keyword(s): Plates (structures) , Free vibrations , Eigenvalues , Geometry AND Vibration ,
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| contributor author | D. J. Gorman | |
| date accessioned | 2017-05-08T23:34:45Z | |
| date available | 2017-05-08T23:34:45Z | |
| date copyright | March, 1991 | |
| date issued | 1991 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26330#203_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/108107 | |
| description abstract | A comprehensive study of the free vibration of simply-supported parallelogram plates is conducted. Solutions are obtained by utilizing the superposition method and by taking advantage of symmetry inherent in the problem. Toward this end a new alternating Lévy-type solution is introduced. Verification tests are conducted by comparing computed eigenvalues with those of rhombic plates in the special case where all plate edges are of equal length. Eigenvalues are stored for eight vibration modes and for a wide range of plate geometry. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Accurate Analytical-Type Solutions for the Free Vibration of Simply-Supported Parallelogram Plates | |
| type | Journal Paper | |
| journal volume | 58 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2897151 | |
| journal fristpage | 203 | |
| journal lastpage | 208 | |
| identifier eissn | 1528-9036 | |
| keywords | Plates (structures) | |
| keywords | Free vibrations | |
| keywords | Eigenvalues | |
| keywords | Geometry AND Vibration | |
| tree | Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001 | |
| contenttype | Fulltext |