Search results for " Discretized modelsModal transformation"

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Fractional differential equations and related exact mechanical models

2013

Creep and relaxation tests, performed on various materials like polymers, rubbers and so on are well-fitted by power-laws with exponent β ∈ [0, 1] (Nutting (1921), Di Paola et al. (2011)). The consequence of this observation is that the stress-strain relation of hereditary materials is ruled by fractional operators (Scott Blair (1947), Slonimsky (1961)). A large amount of researches have been performed in the second part of the last century with the aim to connect constitutive fractional relations with some mechanical models by means of fractance trees and ladders (see Podlubny (1999)). Recently, Di Paola and Zingales (2012) proposed a mechanical model that corresponds to fractional stress-…

Mechanical systems Power-law description Fractional hereditary materials Discretized models Modal transformation.Differential equationFractional hereditary materialDiscretized modelMathematical analysisRelaxation (iterative method)Extension (predicate logic)Mechanical systems Power-law description Fractional hereditary materials Discretized modelsModal transformationDashpotMechanical systemMechanical systemComputational MathematicsComputational Theory and MathematicsCreepModeling and SimulationPower-law descriptionModal transformationLinear combinationRepresentation (mathematics)Settore ICAR/08 - Scienza Delle CostruzioniMathematics
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