@book{72dec89d599447f6887123b0eea3b5fa,
title = "Path Integration Applied to Structural Systems with Uncertain Properties",
abstract = "Path integration (cell-to-cell mapping) method is applied to evaluate the joint probability density function (jpdf) of the response of the structural systems, with uncertain properties, subject to white noise excitation. A general methodology to deal with uncertainties is outlined and applied to the friction controlled slip of a structure on a foundation where the friction coefficient is modelled as a random variable. Exact results derived using the total probability theorem are compared to the ones obtained via path integration.",
keywords = "Path Integration, White Noise, Cell-to-Cell Mapping, Jpdf, SDOF, Gaussian Processes, Path Integration, Cell-to-cell Mapping, Jpdf, White Noise, Fokker-Planck Equation, SDOF ",
author = "Nielsen, {S{\o}ren R.K.} and K{\"o}yl{\"u}oglu, {H. Ugur}",
note = "Presented at the ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, Worcester, USA, August, 1996 PDF for print: 12 pp.",
year = "1996",
language = "English",
series = "Structural Reliability Theory",
publisher = "Dept. of Building Technology and Structural Engineering",
number = "150",
}