Search results for "Fractional Calculu"

showing 5 items of 145 documents

Multiscale Biomechanical Characterization of Ligaments and Tendons of the Human Knee

2020

non-linear fractional calculusCreep and relaxation testhereditary behavior
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Nonlinear vibrations of elastic beams with external general visco-elastic devices

2011

nonlinear vibrations fractional calculus beam
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Representation of Stationary Multivariate Gaussian Processes Fractional Differential Approach

2011

In this paper, the fractional spectral moments method (H-FSM) is used to generate stationary Gaussian multivariate processes with assigned power spectral density matrix. To this aim, firstly the N-variate process is expressed as sum of N fully coherent normal random vectors, and then, the representation in terms of HFSM is used.

symbols.namesakeMathematical analysissymbolsRepresentation (systemics)Applied mathematicsMultivariate normal distributionMultivariate Processes Fractional Calculus Fractional Spectral MomentsFractional differentialSettore ICAR/08 - Scienza Delle CostruzioniGaussian processMathematicsProceedings of the 6th International Conference on Computational Stochastic Mechanics(CSM-6)
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On the fractional integral of Weyl inL p

1994

symbols.namesakePure mathematicsGeneral MathematicsMathematical analysissymbolsBanach spaceRiemann integralRiemann–Stieltjes integralDaniell integralFractional quantum mechanicsFourier integral operatorMathematicsFractional calculusMathematische Zeitschrift
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On the Dynamics of Fractional Visco-Elastic Beams

2012

With increasing advanced manufacturing process, visco-elastic materials are very attractive for mitigation of vibrations, provided that you may have advanced studies for capturing the realistic behavior of such materials. Experimental verification of the visco-elastic behavior is limited to some well-known low order models as the Maxwell or Kelvin models. However, both models are not sufficient to model the visco-elastic behavior of real materials, since only the Maxwell type can capture the relaxation tests and the Kelvin the creep tests, respectively. Very recently, it has been stressed that the most suitable model for capturing the visco-elastic behavior is the spring-pot, characterized …

visco-elastic beam fractional calculus vibrationsMaterials sciencebusiness.industryConstitutive equationMechanicsStructural engineeringViscoelasticityFractional calculusVibrationVibration isolationCreepRelaxation (physics)businessBeam (structure)Volume 4: Dynamics, Control and Uncertainty, Parts A and B
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