Vibrations of Thick Free Circular Plates, Exact Versus Approximate SolutionsSource: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003::page 581Author:J. R. Hutchinson
DOI: 10.1115/1.3167677Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An exact solution for the natural frequencies of a thick free circular plate is compared to approximate solutions. The exact solution is a series solution of the general linear elasticity equations that converges to the correct natural frequencies. The approximate solutions to which this exact solution is compared are the Mindlin plate theory and a modification of a solution method proposed by Pickett. The comparisons clearly show the range of applicability of the approximate solutions as well as their accuracy. The choice of a best shear coefficient for use in the Mindlin plate theory is considered by evaluating the shear coefficient that would make the exact and modified Pickett method match the Mindlin plate solution.
keyword(s): Plates (structures) , Vibration , Shear (Mechanics) , Frequency , Elasticity AND Equations ,
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| contributor author | J. R. Hutchinson | |
| date accessioned | 2017-05-08T23:17:00Z | |
| date available | 2017-05-08T23:17:00Z | |
| date copyright | September, 1984 | |
| date issued | 1984 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26240#581_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/97983 | |
| description abstract | An exact solution for the natural frequencies of a thick free circular plate is compared to approximate solutions. The exact solution is a series solution of the general linear elasticity equations that converges to the correct natural frequencies. The approximate solutions to which this exact solution is compared are the Mindlin plate theory and a modification of a solution method proposed by Pickett. The comparisons clearly show the range of applicability of the approximate solutions as well as their accuracy. The choice of a best shear coefficient for use in the Mindlin plate theory is considered by evaluating the shear coefficient that would make the exact and modified Pickett method match the Mindlin plate solution. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Vibrations of Thick Free Circular Plates, Exact Versus Approximate Solutions | |
| type | Journal Paper | |
| journal volume | 51 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3167677 | |
| journal fristpage | 581 | |
| journal lastpage | 585 | |
| identifier eissn | 1528-9036 | |
| keywords | Plates (structures) | |
| keywords | Vibration | |
| keywords | Shear (Mechanics) | |
| keywords | Frequency | |
| keywords | Elasticity AND Equations | |
| tree | Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003 | |
| contenttype | Fulltext |