Search results for " response statistics"

showing 2 items of 2 documents

One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis

2013

The analysis of one-dimensional non-local elastic solids with uncertain Young's modulus is addressed. Non-local effects are represented as long-range central body forces between non-adjacent volume elements. For comparison purpose, the fluctuating elastic modulus of the material is modeled following both a probabilistic and a non-probabilistic approach. To this aim, a novel definition of the interval field concept, able to limit the overestimation affecting ordinary interval analysis, is introduced. Approximate closed-form expressions are derived for the bounds of the interval displacement field as well as for the mean-value and variance of the stochastic response.

Body forcedecompositionRandom fieldNon-local elasticityStochastic processMechanical EngineeringMathematical analysisKarhunen-Loeve decompositionModulusInterval (mathematics)Karhunen–LoèveComputer Science ApplicationsInterval arithmeticResponse statisticsNon-local elasticity; Interval field; Random field; Karhunen–Loève; decomposition; Upper bound and lower bound; Response statisticsModeling and SimulationDisplacement fieldRandom fieldGeneral Materials ScienceInterval fieldUpper bound and lower boundSettore ICAR/08 - Scienza Delle CostruzioniElastic modulusCivil and Structural EngineeringMathematics
researchProduct

A Strategy for the Prediction of the Response of Hysteretic Systems: A Base for Capacity Assessment of Buildings under Seismic Load

2014

A statistical non linearization method is used to approximate systems modeled by the Bouc differential equa- tion and excited by a Gaussian white noise external load. To this aim restricted potential models (RPM) are used, which are suitable for an extended number of nonlinear problems as have been proved several times. Since the solution of RPM is known by the probabilistic point of view, all statistical characteristics can be derived at once with advantages by the computational point of view. Hence, this paper discusses the possibility to determine sets of parameters characterizing po- tential models that are valid for describing a hysteretic behavior. In this way the characterization of …

energy dissipationEngineeringBouc model energy dissipation equivalent non linearization hysteretic behavior response statistics restricted potential models.business.industrySeismic loadingProbabilistic logichysteretic behaviorBuilding and ConstructionWhite noiseDissipationBouc model; energy dissipation; equivalent non linearization; hysteretic behavior; response statistics; restricted potential models.equivalent non linearizationNonlinear systemSettore ICAR/09 - Tecnica Delle CostruzioniLinearizationControl theoryBouc modelPoint (geometry)response statisticsDifferential (infinitesimal)businessrestricted potential models
researchProduct