Nonstationary Narrow-Band Response and First-Passage ProbabilitySource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004::page 919Author:S. Krenk
DOI: 10.1115/1.3424678Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The notion of a non-stationary narrow-band stochastic process is introduced without reference to a frequency spectrum, and the joint distribution function of two consecutive maxima is approximated by use of an envelope. Based on these definitions the first passage problem is treated as a Markov point process. The theory is applied to the response of a linear oscillator excited by a stationary process from t = 0, and a simple algebraic relation between the non-stationary and stationary correlation functions of the response is derived.
keyword(s): Probability , Stochastic processes , Spectra (Spectroscopy) , Harmonic oscillators AND Functions ,
|
Collections
Show full item record
| contributor author | S. Krenk | |
| date accessioned | 2017-05-08T23:05:57Z | |
| date available | 2017-05-08T23:05:57Z | |
| date copyright | December, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26131#919_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91688 | |
| description abstract | The notion of a non-stationary narrow-band stochastic process is introduced without reference to a frequency spectrum, and the joint distribution function of two consecutive maxima is approximated by use of an envelope. Based on these definitions the first passage problem is treated as a Markov point process. The theory is applied to the response of a linear oscillator excited by a stationary process from t = 0, and a simple algebraic relation between the non-stationary and stationary correlation functions of the response is derived. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Nonstationary Narrow-Band Response and First-Passage Probability | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424678 | |
| journal fristpage | 919 | |
| journal lastpage | 924 | |
| identifier eissn | 1528-9036 | |
| keywords | Probability | |
| keywords | Stochastic processes | |
| keywords | Spectra (Spectroscopy) | |
| keywords | Harmonic oscillators AND Functions | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004 | |
| contenttype | Fulltext |