On Vibrations of Pretwisted Rectangular PlatesSource: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 001::page 30Author:R. P. Nordgren
DOI: 10.1115/1.3636493Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper contains an analysis of the free vibrations of uniformly pretwisted rectangular plates, utilizing the exact equations of classical shallow-shell theory. Specifically, solutions are given (a) for two opposite edges simply supported and the other two free, and (b) for all four edges simply supported. Numerical results obtained for case (b) are compared with previous results for the torsional vibrations of pretwisted beams. A simple frequency equation is obtained for case (b), permitting a detailed study of the effects of both pretwist and longitudinal inertia.
keyword(s): Plates (structures) , Vibration , Equations , Free vibrations , Shells AND Inertia (Mechanics) ,
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| contributor author | R. P. Nordgren | |
| date accessioned | 2017-05-08T23:01:11Z | |
| date available | 2017-05-08T23:01:11Z | |
| date copyright | March, 1962 | |
| date issued | 1962 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25655#30_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88923 | |
| description abstract | This paper contains an analysis of the free vibrations of uniformly pretwisted rectangular plates, utilizing the exact equations of classical shallow-shell theory. Specifically, solutions are given (a) for two opposite edges simply supported and the other two free, and (b) for all four edges simply supported. Numerical results obtained for case (b) are compared with previous results for the torsional vibrations of pretwisted beams. A simple frequency equation is obtained for case (b), permitting a detailed study of the effects of both pretwist and longitudinal inertia. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Vibrations of Pretwisted Rectangular Plates | |
| type | Journal Paper | |
| journal volume | 29 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3636493 | |
| journal fristpage | 30 | |
| journal lastpage | 32 | |
| identifier eissn | 1528-9036 | |
| keywords | Plates (structures) | |
| keywords | Vibration | |
| keywords | Equations | |
| keywords | Free vibrations | |
| keywords | Shells AND Inertia (Mechanics) | |
| tree | Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 001 | |
| contenttype | Fulltext |