Response of a Loaded Nonlinear String to Random ExcitationSource: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 003::page 483Author:S. T. Ariaratnam
DOI: 10.1115/1.3640592Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The response to white noise excitation of a light elastic string loaded at equal intervals by a number of equal masses is examined using the theory of the Markov random process and the associated Fokker-Planck equation. Taking nonlinear effects due to variation in string tension into account, an exact solution of the Fokker-Planck equation is obtained and used in an approximate analytical evaluation of the mean squared response of the system.
keyword(s): Random excitation , String , Fokker-Planck equation , Stochastic processes , Tension AND White noise ,
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| contributor author | S. T. Ariaratnam | |
| date accessioned | 2017-05-08T22:59:17Z | |
| date available | 2017-05-08T22:59:17Z | |
| date copyright | September, 1962 | |
| date issued | 1962 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25675#483_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/87835 | |
| description abstract | The response to white noise excitation of a light elastic string loaded at equal intervals by a number of equal masses is examined using the theory of the Markov random process and the associated Fokker-Planck equation. Taking nonlinear effects due to variation in string tension into account, an exact solution of the Fokker-Planck equation is obtained and used in an approximate analytical evaluation of the mean squared response of the system. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Response of a Loaded Nonlinear String to Random Excitation | |
| type | Journal Paper | |
| journal volume | 29 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3640592 | |
| journal fristpage | 483 | |
| journal lastpage | 485 | |
| identifier eissn | 1528-9036 | |
| keywords | Random excitation | |
| keywords | String | |
| keywords | Fokker-Planck equation | |
| keywords | Stochastic processes | |
| keywords | Tension AND White noise | |
| tree | Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 003 | |
| contenttype | Fulltext |