The Development of Natural Modes of Free Vibration for Linear Discrete Systems from the Synchronous Motion AssumptionSource: Journal of Vibration and Acoustics:;1989:;volume( 111 ):;issue: 001::page 77Author:S. F. Felszeghy
DOI: 10.1115/1.3269827Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: By using the method of separation of variables, or more precisely, the method of searching for synchronous motions, conditions are derived under which a linear discrete viscously damped system exhibits free motions of the form of a product of an amplitude vector and a scalar function of time. These motions are the natural modes of the system. In particular, those conditions are investigated under which some but not all of the modal vectors, or mode shapes, of the damped system coincide with the undamped “classical” normal modes.
keyword(s): Motion , Discrete systems , Free vibrations , Shapes , Scalar functions AND Separation (Technology) ,
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| contributor author | S. F. Felszeghy | |
| date accessioned | 2017-05-08T23:31:32Z | |
| date available | 2017-05-08T23:31:32Z | |
| date copyright | January, 1989 | |
| date issued | 1989 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28980#77_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/106295 | |
| description abstract | By using the method of separation of variables, or more precisely, the method of searching for synchronous motions, conditions are derived under which a linear discrete viscously damped system exhibits free motions of the form of a product of an amplitude vector and a scalar function of time. These motions are the natural modes of the system. In particular, those conditions are investigated under which some but not all of the modal vectors, or mode shapes, of the damped system coincide with the undamped “classical” normal modes. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Development of Natural Modes of Free Vibration for Linear Discrete Systems from the Synchronous Motion Assumption | |
| type | Journal Paper | |
| journal volume | 111 | |
| journal issue | 1 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.3269827 | |
| journal fristpage | 77 | |
| journal lastpage | 81 | |
| identifier eissn | 1528-8927 | |
| keywords | Motion | |
| keywords | Discrete systems | |
| keywords | Free vibrations | |
| keywords | Shapes | |
| keywords | Scalar functions AND Separation (Technology) | |
| tree | Journal of Vibration and Acoustics:;1989:;volume( 111 ):;issue: 001 | |
| contenttype | Fulltext |