Asymptotic Behavior of Eigenvalues for Finite, Inhomogeneous Elastic RodsSource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002::page 595Author:Adnan H. Nayfeh
DOI: 10.1115/1.3422724Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Asymptotic expressions for the eigenvalues and the corresponding eigenfunctions for the free vibrations of an inhomogeneous elastic rod with a finite length are derived. The derivation is based on the assumption that the elastic parameters and their derivatives vary continuously along the rod. A method which consists of a perturbation about the solutions of the homogeneous cases is used.
keyword(s): Eigenvalues , Rods , Eigenfunctions AND Free vibrations ,
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| contributor author | Adnan H. Nayfeh | |
| date accessioned | 2017-05-09T01:19:17Z | |
| date available | 2017-05-09T01:19:17Z | |
| date copyright | June, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25961#595_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/158345 | |
| description abstract | Asymptotic expressions for the eigenvalues and the corresponding eigenfunctions for the free vibrations of an inhomogeneous elastic rod with a finite length are derived. The derivation is based on the assumption that the elastic parameters and their derivatives vary continuously along the rod. A method which consists of a perturbation about the solutions of the homogeneous cases is used. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Asymptotic Behavior of Eigenvalues for Finite, Inhomogeneous Elastic Rods | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422724 | |
| journal fristpage | 595 | |
| journal lastpage | 597 | |
| identifier eissn | 1528-9036 | |
| keywords | Eigenvalues | |
| keywords | Rods | |
| keywords | Eigenfunctions AND Free vibrations | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002 | |
| contenttype | Fulltext |