Search results for "Potential systems"

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Some properties of multi-degree-of-freedom potential systems and application to statistical equivalent non-linearization

2003

This paper presents some properties of two restricted classes of multi-degree-of-freedom potential systems subjected to Gaussian white-noise excitations. Specifically, potential systems which exhibit damping terms with energy-dependent polynomial form are referred to. In this context, first systems with coupled stiffness terms and damping terms depending on the total energy are investigated. Then, systems with uncoupled stiffness terms and damping terms depending on the total energy in each degree-of-freedom are considered. For these two classes, it is found that algebraic relations among the stationary statistical moments of the energy functions can be derived by applying standard tools of…

Equivalent non-linearizationApplied MathematicsMechanical EngineeringGaussianStiffnessEquations of motionContext (language use)White noiseItô calculuPotential systemssymbols.namesakeClassical mechanicsMechanics of MaterialsLinearizationGaussian noisemedicinesymbolsApplied mathematicsRandom vibrationmedicine.symptomMoment equationMathematics
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Equivalent Non-Linearization of Hysteretic Systems by Means of RPS

2018

BackgroundThe analysis of elastoplastic systems with hardening (Bouc-Wen systems) under stochastic (seismic) loads needs the evaluation of higher order statistics even in the simplest case of normal distributed input. ObjectiveIn this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response. MethodThis technique is developed by means of a nonlinear class of systems whose statistics are a priori known. The parameters of such systems can be chosen in such a way that the two systems are equivalent in a wide sense. Result & ConclusionIn the paper, the strategy to obtain the equivalence and the reliability of the results are discussed.

Thesaurus (information retrieval)Computer scienceSeismic assessment Hysteretic systems Potential systems Moment equations Equivalent non-linearization Stochastic calculus0211 other engineering and technologiesStochastic calculus020101 civil engineering02 engineering and technologyBuilding and Constructionlcsh:TH1-97450201 civil engineeringAlgebraSearch engineSeismic assessmentLinearization021105 building & constructionMoment equationslcsh:Building construction
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