Axisymmetric Flexural Vibrations of a Thick Free Circular PlateSource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 001::page 139Author:J. R. Hutchinson
DOI: 10.1115/1.3424485Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A series solution of the general three-dimensional equations of linear elasticity is used to find accurate natural frequencies and mode shapes for the flexural vibrations of thick free circular plates. The approximate solution for thick plates, which includes shear and rotary inertia effects, is compared with the accurate series solution. It is found that the approximate solution yields frequencies of sufficient accuracy for most engineering applications within the range of applicability of the approximate theory.
keyword(s): Vibration , Frequency , Plates (structures) , Shapes , Equations , Elasticity , Shear (Mechanics) , Rotational inertia AND Engineering systems and industry applications ,
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| contributor author | J. R. Hutchinson | |
| date accessioned | 2017-05-08T23:06:15Z | |
| date available | 2017-05-08T23:06:15Z | |
| date copyright | March, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26112#139_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91858 | |
| description abstract | A series solution of the general three-dimensional equations of linear elasticity is used to find accurate natural frequencies and mode shapes for the flexural vibrations of thick free circular plates. The approximate solution for thick plates, which includes shear and rotary inertia effects, is compared with the accurate series solution. It is found that the approximate solution yields frequencies of sufficient accuracy for most engineering applications within the range of applicability of the approximate theory. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Axisymmetric Flexural Vibrations of a Thick Free Circular Plate | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424485 | |
| journal fristpage | 139 | |
| journal lastpage | 144 | |
| identifier eissn | 1528-9036 | |
| keywords | Vibration | |
| keywords | Frequency | |
| keywords | Plates (structures) | |
| keywords | Shapes | |
| keywords | Equations | |
| keywords | Elasticity | |
| keywords | Shear (Mechanics) | |
| keywords | Rotational inertia AND Engineering systems and industry applications | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 001 | |
| contenttype | Fulltext |