| contributor author | D. L. Taylor | |
| contributor author | T. R. Kane | |
| date accessioned | 2017-05-08T22:57:55Z | |
| date available | 2017-05-08T22:57:55Z | |
| date copyright | June, 1975 | |
| date issued | 1975 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26035#478_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/87121 | |
| description abstract | This paper contains an analytical theory for the study of the eigensystem of a multi-parameter quadratic eigenproblem. Previous work in this general area has focused mainly on first order eigenproblems. In the present work, eigenvalues and eigenvectors are expressed in the form of infinite series in which parameters entering the elements of various matrices play the roles of independent variables, and it is shown how the coefficients may be evaluated. The methods of derivation are given in sufficient detail to allow extension to either higher derivatives or higher order eigenproblems. Among the results presented are formulae for the second derivatives of eigenvectors, which have not been presented previously. Formulae applicable to special cases of first order eigenproblems are given also. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Multiparameter Quadratic Eigenproblems | |
| type | Journal Paper | |
| journal volume | 42 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423602 | |
| journal fristpage | 478 | |
| journal lastpage | 483 | |
| identifier eissn | 1528-9036 | |
| keywords | Eigenvalues AND Formulas | |
| tree | Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 002 | |
| contenttype | Fulltext | |
