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

Søren R. K. Nielsen, R. Iwankiewicz

Publikation: Bog/antologi/afhandling/rapportBogForskning

Resumé

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.
OriginalsprogEngelsk
Udgivelses stedAalborg
ForlagDepartment of Building Technology and Structural Engineering, Aalborg University
StatusUdgivet - 1989
NavnR / Inst. for Bygningsteknik, Aalborg Universitetscenter
NummerR8931
ISSN0902-7513

Bibliografisk note

Structural Reliability Theory ; Paper no. 66

Citer dette

Nielsen, S. R. K., & Iwankiewicz, R. (1989). Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations. Aalborg: Department of Building Technology and Structural Engineering, Aalborg University. R / Inst. for Bygningsteknik, Aalborg Universitetscenter, Nr. R8931
Nielsen, Søren R. K. ; Iwankiewicz, R. / Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations. Aalborg : Department of Building Technology and Structural Engineering, Aalborg University, 1989. (R / Inst. for Bygningsteknik, Aalborg Universitetscenter; Nr. R8931).
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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 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",
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Nielsen, SRK & Iwankiewicz, R 1989, Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations. R / Inst. for Bygningsteknik, Aalborg Universitetscenter, nr. R8931, Department of Building Technology and Structural Engineering, Aalborg University, Aalborg.

Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations. / Nielsen, Søren R. K.; Iwankiewicz, R.

Aalborg : Department of Building Technology and Structural Engineering, Aalborg University, 1989. (R / Inst. for Bygningsteknik, Aalborg Universitetscenter; Nr. R8931).

Publikation: Bog/antologi/afhandling/rapportBogForskning

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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.

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Nielsen SRK, Iwankiewicz R. Dynamic Response of Non-Linear Inelsatic Systems to Poisson-Driven Stochastic Excitations. Aalborg: Department of Building Technology and Structural Engineering, Aalborg University, 1989. (R / Inst. for Bygningsteknik, Aalborg Universitetscenter; Nr. R8931).