| contributor author | M. Grigoriu | |
| contributor author | S. T. Ariaratnam | |
| date accessioned | 2017-05-08T23:26:22Z | |
| date available | 2017-05-08T23:26:22Z | |
| date copyright | December, 1988 | |
| date issued | 1988 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26299#905_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103444 | |
| description abstract | Moments and mean crossing rates are determined for the response of linear systems subject to polynomial forms in Gauss-Markov processes. Differential equations describing the evolution in time of response moments are developed by the use of Itô’s calculus. Estimators are obtained for mean crossing rates based on higher order moments and approximations of the distribution of the response. The method is applied to the analysis of a simple oscillator subject to the square of an Ornstein-Uhlenbeck process. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Response of Linear Systems to Polynomials of Gaussian Processes | |
| type | Journal Paper | |
| journal volume | 55 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3173740 | |
| journal fristpage | 905 | |
| journal lastpage | 910 | |
| identifier eissn | 1528-9036 | |
| keywords | Linear systems | |
| keywords | Polynomials | |
| keywords | Harmonic oscillators | |
| keywords | Differential equations AND Approximation | |
| tree | Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 004 | |
| contenttype | Fulltext | |