Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations

Søren R. K. Nielsen; R. Iwankiewicz

Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations

Søren R. K. Nielsen, R. Iwankiewicz

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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 approximate
analytical 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.

Original language	English

Place of Publication	Aalborg
Publisher	Department of Building Technology and Structural Engineering, Aalborg University
Publication status	Published - 1989

Series	R / Inst. for Bygningsteknik, Aalborg Universitetscenter
Number	R8931
ISSN	0902-7513

Keywords

Earthquake Excitations
Random Vibration
Reinforced Concrete Structures
Damage Indicators

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Cite this

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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",

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AU - Nielsen, Søren R. K.

AU - Iwankiewicz, R.

N1 - Structural Reliability Theory ; Paper no. 66

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

KW - Earthquake Excitations

KW - Random Vibration

KW - Reinforced Concrete Structures

KW - Damage Indicators

M3 - Book

T3 - R / Inst. for Bygningsteknik, Aalborg Universitetscenter

BT - Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations

PB - Department of Building Technology and Structural Engineering, Aalborg University

CY - Aalborg

ER -