@book{3ee41f5cf84049b58d5bb6e6e4869361,
title = "Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations",
abstract = "A single-degree-of-freedom inelastic system subject to a stochastic excitation in form of a Poisson-distributed train of impulses is considered. The state variables of the system form a non-diffusive, Poisson-driven Markov process. Two approximateanalytical techniques are developed: modification of an equivalent linearization techni que and substituting the non-analytical non-linearity in the original system by the cubic form in the pertinent state variables. The response moments are evaluated for the equivalent systems with the help of a generalized Ito's differential rule. The analytical results are verified against the Monte Carlo simulations.",
keywords = "Earthquake Excitations, Random Vibration, Reinforced Concrete Structures, Damage Indicators",
author = "Nielsen, {S{\o}ren R. K.} and R. Iwankiewicz",
note = "Structural Reliability Theory ; Paper no. 66",
year = "1989",
language = "English",
series = "R / Inst. for Bygningsteknik, Aalborg Universitetscenter",
number = "R8931",
publisher = "Department of Building Technology and Structural Engineering, Aalborg University",
}