Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform BeamsSource: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003::page 702Author:Han-Chung Wang
DOI: 10.1115/1.3607764Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: With simple beam theory, solutions of normal functions for transverse vibration of a tapered beam are obtained in terms of generalized hypergeometric functions by the method of Frobenius. For the beams considered, the cross-sectional area and the area moment of inertia vary along the beam according to any two arbitrary powers of the longitudinal coordinate. The frequency equation is formulated, and the numerical results for many different tapered cantilever beams are presented.
keyword(s): Vibration , Functions , Equations , Inertia (Mechanics) AND Cantilever beams ,
|
Collections
Show full item record
| contributor author | Han-Chung Wang | |
| date accessioned | 2017-05-08T23:48:53Z | |
| date available | 2017-05-08T23:48:53Z | |
| date copyright | September, 1967 | |
| date issued | 1967 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25856#702_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/116290 | |
| description abstract | With simple beam theory, solutions of normal functions for transverse vibration of a tapered beam are obtained in terms of generalized hypergeometric functions by the method of Frobenius. For the beams considered, the cross-sectional area and the area moment of inertia vary along the beam according to any two arbitrary powers of the longitudinal coordinate. The frequency equation is formulated, and the numerical results for many different tapered cantilever beams are presented. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams | |
| type | Journal Paper | |
| journal volume | 34 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3607764 | |
| journal fristpage | 702 | |
| journal lastpage | 708 | |
| identifier eissn | 1528-9036 | |
| keywords | Vibration | |
| keywords | Functions | |
| keywords | Equations | |
| keywords | Inertia (Mechanics) AND Cantilever beams | |
| tree | Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003 | |
| contenttype | Fulltext |