Extension of Lanczos’ Method of Fundamental Eigenvalue ApproximationSource: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 002::page 484Author:H. Herman
DOI: 10.1115/1.3423603Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method introduced by Lanczos for the approximate determination of fundamental eigenvalues of one-dimensional continuous systems is extended to permit the determination of higher eigenvalues as well, and a modification is introduced which yields better accuracy for the same number of approximating equations. Illustrations are presented demonstrating applications of the method to systems with discontinuities and to the frequency determination in nonlinear oscillation problems.
keyword(s): Approximation , Eigenvalues , Equations AND Oscillations ,
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| contributor author | H. Herman | |
| date accessioned | 2017-05-08T22:57:56Z | |
| date available | 2017-05-08T22:57:56Z | |
| date copyright | June, 1975 | |
| date issued | 1975 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26035#484_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/87122 | |
| description abstract | A method introduced by Lanczos for the approximate determination of fundamental eigenvalues of one-dimensional continuous systems is extended to permit the determination of higher eigenvalues as well, and a modification is introduced which yields better accuracy for the same number of approximating equations. Illustrations are presented demonstrating applications of the method to systems with discontinuities and to the frequency determination in nonlinear oscillation problems. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Extension of Lanczos’ Method of Fundamental Eigenvalue Approximation | |
| type | Journal Paper | |
| journal volume | 42 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423603 | |
| journal fristpage | 484 | |
| journal lastpage | 489 | |
| identifier eissn | 1528-9036 | |
| keywords | Approximation | |
| keywords | Eigenvalues | |
| keywords | Equations AND Oscillations | |
| tree | Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 002 | |
| contenttype | Fulltext |