On Degeneracy of Eigenvalues and Recursive Solution of Symmetrically Coupled Dynamic SystemsSource: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 004::page 1180Author:Fan Y. Chen
DOI: 10.1115/1.3408689Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Based on mathematical induction, we can prove that the eigenvalues of a special nth order circulant matrix are degenerate. Hence the eigenvibration problem of an n degree-of-freedom symmetrically coupled system with equal masses and equal spring stiffnesses can be solved by direct inspection of the system schematic.
keyword(s): Dynamic systems , Eigenvalues , Springs , Electromagnetic induction , Inspection AND Degrees of freedom ,
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| contributor author | Fan Y. Chen | |
| date accessioned | 2017-05-09T00:31:30Z | |
| date available | 2017-05-09T00:31:30Z | |
| date copyright | December, 1970 | |
| date issued | 1970 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25927#1180_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/139845 | |
| description abstract | Based on mathematical induction, we can prove that the eigenvalues of a special nth order circulant matrix are degenerate. Hence the eigenvibration problem of an n degree-of-freedom symmetrically coupled system with equal masses and equal spring stiffnesses can be solved by direct inspection of the system schematic. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Degeneracy of Eigenvalues and Recursive Solution of Symmetrically Coupled Dynamic Systems | |
| type | Journal Paper | |
| journal volume | 37 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408689 | |
| journal fristpage | 1180 | |
| journal lastpage | 1182 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamic systems | |
| keywords | Eigenvalues | |
| keywords | Springs | |
| keywords | Electromagnetic induction | |
| keywords | Inspection AND Degrees of freedom | |
| tree | Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 004 | |
| contenttype | Fulltext |