The Eigenvalue Problem for Two-Dimensional Regions With Irregular BoundariesSource: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003::page 618Author:S. B. Roberts
DOI: 10.1115/1.3607752Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method for the construction of eigenfunctions for two-dimensional simply connected regions with irregular finite boundaries is presented. Solutions are obtained in the form of an eigenvalue power series which is shown to be uniformly convergent. The procedure is illustrated by application to the vibration problem of a class of thin membranes with epicycloidal boundary shapes.
keyword(s): Eigenvalues , Membranes , Shapes , Construction , Eigenfunctions AND Vibration ,
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| contributor author | S. B. Roberts | |
| date accessioned | 2017-05-08T23:48:37Z | |
| date available | 2017-05-08T23:48:37Z | |
| date copyright | September, 1967 | |
| date issued | 1967 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25856#618_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/116156 | |
| description abstract | A method for the construction of eigenfunctions for two-dimensional simply connected regions with irregular finite boundaries is presented. Solutions are obtained in the form of an eigenvalue power series which is shown to be uniformly convergent. The procedure is illustrated by application to the vibration problem of a class of thin membranes with epicycloidal boundary shapes. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Eigenvalue Problem for Two-Dimensional Regions With Irregular Boundaries | |
| type | Journal Paper | |
| journal volume | 34 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3607752 | |
| journal fristpage | 618 | |
| journal lastpage | 622 | |
| identifier eissn | 1528-9036 | |
| keywords | Eigenvalues | |
| keywords | Membranes | |
| keywords | Shapes | |
| keywords | Construction | |
| keywords | Eigenfunctions AND Vibration | |
| tree | Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003 | |
| contenttype | Fulltext |