On the moments of time to first passage of the linear oscillator
- 1 January 1981
- journal article
- Published by Wiley in Earthquake Engineering & Structural Dynamics
- Vol. 9 (3) , 197-204
- https://doi.org/10.1002/eqe.4290090302
Abstract
The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide‐band process are obtained numerically for the symmetric two‐sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov‐Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.Keywords
This publication has 13 references indexed in Scilit:
- Solution of the Pontriagin–Vitt equation for the moments of time to first passage of the randomly accelerated particle by the finite element methodInternational Journal for Numerical Methods in Engineering, 1980
- An ‘upwind’ finite element scheme for two‐dimensional convective transport equationInternational Journal for Numerical Methods in Engineering, 1977
- First passage time for the envelope of a randomly excited linear oscillatorJournal of Sound and Vibration, 1976
- On the first-passage time for envelope crossing for a linear oscillatorInternational Journal of Control, 1973
- On the First-Excursion Probability in Stationary Narrow-Band Random Vibration, IIJournal of Applied Mechanics, 1972
- On the First Excursion Probability in Stationary Narrow-Band Random VibrationJournal of Applied Mechanics, 1971
- First-crossing probabilities of the linear oscillatorJournal of Sound and Vibration, 1970
- First-Passage Time ProblemThe Journal of the Acoustical Society of America, 1970
- Some First-Passage Problems in Random VibrationJournal of Applied Mechanics, 1966
- First-Passage Time in a Random Vibrational SystemJournal of Applied Mechanics, 1966