Langley, RS (1988) *FIRST PASSAGE APPROXIMATION FOR NORMAL STATIONARY RANDOM PROCESSES.* Journal of Sound and Vibration, 122. pp. 261-275. ISSN 0022-460X

## Abstract

A new approximate solution for the first passage probability of a stationary Gaussian random process is presented which is based on the estimation of the mean clump size. A simple expression for the mean clump size is derived in terms of the cumulative normal distribution function, which avoids the lengthy numerical integrations which are required by similar existing techniques. The method is applied to a linear oscillator and an ideal bandpass process and good agreement with published results is obtained. By making a slight modification to an existing analysis it is shown that a widely used empirical result for the asymptotic form of the first passage probability can be deduced theoretically.

Item Type: | Article |
---|---|

Subjects: | UNSPECIFIED |

Divisions: | Div C > Applied Mechanics |

Depositing User: | Cron Job |

Date Deposited: | 18 May 2016 18:31 |

Last Modified: | 25 Aug 2016 11:39 |

DOI: |