An Approach to Calculating Random Vibration IntegralsSource: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 002::page 409Author:P-T. D. Spanos
DOI: 10.1115/1.3173028Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Integrals required for the determination of the response statistics of an arbitrary order linear and time-invariant dynamic system under stationary excitation are examined. These integrals are found as the solution of a set of linear algebraic equations. The application of the derived general formula is exemplified by considering as excitation models white noise, band-limited white noise, and other important stationary random processes. Besides random vibration applications, the derived formula has purely mathematical merit and can be used for the calculation of complicated integrals encountered in a variety of other technical fields.
keyword(s): Random vibration , Formulas , White noise , Dynamic systems , Stochastic processes AND Equations ,
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| contributor author | P-T. D. Spanos | |
| date accessioned | 2017-05-08T23:24:15Z | |
| date available | 2017-05-08T23:24:15Z | |
| date copyright | June, 1987 | |
| date issued | 1987 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26281#409_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/102132 | |
| description abstract | Integrals required for the determination of the response statistics of an arbitrary order linear and time-invariant dynamic system under stationary excitation are examined. These integrals are found as the solution of a set of linear algebraic equations. The application of the derived general formula is exemplified by considering as excitation models white noise, band-limited white noise, and other important stationary random processes. Besides random vibration applications, the derived formula has purely mathematical merit and can be used for the calculation of complicated integrals encountered in a variety of other technical fields. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Approach to Calculating Random Vibration Integrals | |
| type | Journal Paper | |
| journal volume | 54 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3173028 | |
| journal fristpage | 409 | |
| journal lastpage | 413 | |
| identifier eissn | 1528-9036 | |
| keywords | Random vibration | |
| keywords | Formulas | |
| keywords | White noise | |
| keywords | Dynamic systems | |
| keywords | Stochastic processes AND Equations | |
| tree | Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 002 | |
| contenttype | Fulltext |