Computation of Eigenvalues and Eigenvectors of a Mistuned Bladed Disk Via Unidirectional Taylor Series ExpansionsSource: Journal of Turbomachinery:;2010:;volume( 132 ):;issue: 004::page 44501Author:Alok Sinha
DOI: 10.1115/1.3142863Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper deals with the computation of eigenvalues and eigenvectors of a mistuned bladed disk. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is discussed. Next, an algorithm is developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system. Numerical examples are presented to corroborate the validity of theoretical analysis.
keyword(s): Disks , Computation AND Eigenvalues ,
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| contributor author | Alok Sinha | |
| date accessioned | 2017-05-09T00:41:30Z | |
| date available | 2017-05-09T00:41:30Z | |
| date copyright | October, 2010 | |
| date issued | 2010 | |
| identifier issn | 0889-504X | |
| identifier other | JOTUEI-28766#044501_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/144980 | |
| description abstract | This paper deals with the computation of eigenvalues and eigenvectors of a mistuned bladed disk. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is discussed. Next, an algorithm is developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system. Numerical examples are presented to corroborate the validity of theoretical analysis. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Computation of Eigenvalues and Eigenvectors of a Mistuned Bladed Disk Via Unidirectional Taylor Series Expansions | |
| type | Journal Paper | |
| journal volume | 132 | |
| journal issue | 4 | |
| journal title | Journal of Turbomachinery | |
| identifier doi | 10.1115/1.3142863 | |
| journal fristpage | 44501 | |
| identifier eissn | 1528-8900 | |
| keywords | Disks | |
| keywords | Computation AND Eigenvalues | |
| tree | Journal of Turbomachinery:;2010:;volume( 132 ):;issue: 004 | |
| contenttype | Fulltext |