A method for the evaluation of the response probability density function of some linear dynamic systems subjected to non-Gaussian random load

This paper deals with the characterization of the random response of linear systems subjected to stochastic load. It proposes a new method based on the new version of the Probabilistic Transformation Method (PTM) that allows obtaining, with a very low computational effort, the probability density fu...

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Veröffentlicht in:Probabilistic engineering mechanics 2014-10, Vol.38, p.165-172
Hauptverfasser: Settineri, D., Falsone, G.
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description This paper deals with the characterization of the random response of linear systems subjected to stochastic load. It proposes a new method based on the new version of the Probabilistic Transformation Method (PTM) that allows obtaining, with a very low computational effort, the probability density function of the response. An important aspect of the proposed approach is the ability to join directly the pdfs of the input load with those of the response. Based on the step-by-step integration method, explicit solutions will be proposed for the random response of systems loaded by seismic and windy sampled inputs.
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subjects Characteristic function
Dynamic tests
Dynamical systems
Dynamics
Linear systems
Loads (forces)
Probabilistic methods
Probability density functions
Probability theory
Probability transformation
Transformations (mathematics)
Uncertain structures
title A method for the evaluation of the response probability density function of some linear dynamic systems subjected to non-Gaussian random load
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