Vibrations of Solid CylindersSource: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004::page 901Author:J. R. Hutchinson
DOI: 10.1115/1.3153811Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement.
keyword(s): Vibration , Cylinders , Frequency , Traction , Equations AND Elasticity ,
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contributor author | J. R. Hutchinson | |
date accessioned | 2017-05-08T23:07:49Z | |
date available | 2017-05-08T23:07:49Z | |
date copyright | December, 1980 | |
date issued | 1980 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26159#901_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/92774 | |
description abstract | A series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Vibrations of Solid Cylinders | |
type | Journal Paper | |
journal volume | 47 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3153811 | |
journal fristpage | 901 | |
journal lastpage | 907 | |
identifier eissn | 1528-9036 | |
keywords | Vibration | |
keywords | Cylinders | |
keywords | Frequency | |
keywords | Traction | |
keywords | Equations AND Elasticity | |
tree | Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004 | |
contenttype | Fulltext |