First passage probability during random vibration

✍ Scribed by R.N. Iyengar

• Book ID: 104153436
• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 436 KB
• Volume: 31
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80374-8

✦ Synopsis

The probability that a random process crosses an arbitrary level for the first time is expressed as a Gram-Charlier series, the leading term of which is the Poisson approximation. The coefficients of this series are related to the moments of the number of level crossings. The results are applicable to both stationary and non-stationary processes. Some numerical results are presented for the response process of a linear single-degree-offreedom oscillator under Gaussian white noise excitation.