@inproceedings{fb6fb113b62d410aa97f8dd8f9700224,
title = "ON THE FIRST PASSAGE PROBLEM IN RANDOM VIBRATION FOR SIMPLE NONLINEAR OSCILLATORS.",
abstract = "A robust Petrov-Galerkin finite element method is used to determine the first passage survival probability for simple single degree-of-freedom nonlinear oscillators. No assumptions are made about the narrow-bandedness of the response, width of failure bounds, or magnitude of the nonlinearity. The versatility of the method is illustrated for the classical case of the VanderPol oscillator for various failure bound widths and nonlinearities. The accuracy of the solution is then demonstrated by comparison of the finite element results with Monte Carlo simulation.",
author = "Spencer, {B. F.} and Bergman, {L. A.}",
year = "1985",
language = "English (US)",
isbn = "0444869670",
series = "Transactions of the International Conference on Structural Mechanics in Reactor Technology",
publisher = "North-Holland",
pages = "105--110",
booktitle = "Transactions of the International Conference on Structural Mechanics in Reactor Technology",
}