Classical Normal Modes in Damped Linear Dynamic SystemsSource: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002::page 269Author:T. K. Caughey
DOI: 10.1115/1.3643949Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analysis of the conditions under which a damped linear system possesses classical normal modes is presented. It is shown that a necessary and sufficient condition for the existence of classical normal modes is that the damping matrix be diagonalized by the same transformation that uncouples the undamped systems. Sufficient though not necessary conditions on the damping matrix are developed, and it is shown that Rayleigh’s solution is a special case of the present theory.
keyword(s): Damped linear dynamic systems AND Damping ,
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| contributor author | T. K. Caughey | |
| date accessioned | 2017-05-08T23:16:02Z | |
| date available | 2017-05-08T23:16:02Z | |
| date copyright | June, 1960 | |
| date issued | 1960 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25541#269_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/97389 | |
| description abstract | An analysis of the conditions under which a damped linear system possesses classical normal modes is presented. It is shown that a necessary and sufficient condition for the existence of classical normal modes is that the damping matrix be diagonalized by the same transformation that uncouples the undamped systems. Sufficient though not necessary conditions on the damping matrix are developed, and it is shown that Rayleigh’s solution is a special case of the present theory. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Classical Normal Modes in Damped Linear Dynamic Systems | |
| type | Journal Paper | |
| journal volume | 27 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3643949 | |
| journal fristpage | 269 | |
| journal lastpage | 271 | |
| identifier eissn | 1528-9036 | |
| keywords | Damped linear dynamic systems AND Damping | |
| tree | Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002 | |
| contenttype | Fulltext |