0000000000017421

AUTHOR

Andrea Burlon

showing 5 related works from this author

Flexural vibrations of discontinuous layered elastically bonded beams

2018

Abstract This paper addresses the dynamic flexural behavior of layered elastically bonded beams carrying an arbitrary number of elastic translational supports and rotational joints. The beams are referred to as discontinuous for the discontinuities of response variables at the application points of supports/joints. The Euler-Bernoulli hypothesis is assumed to hold for each layer separately, and a linear constitutive relation between the horizontal interlayer slip and the interlaminar shear force is considered. Based on the theory of generalized functions to handle the discontinuities of response variables due to supports/joints, exact beam modes are obtained from a characteristic equation b…

Materials scienceRotational jointConstitutive equationCeramics and Composite02 engineering and technologySlip (materials science)Interlayer slipClassification of discontinuitiesIndustrial and Manufacturing Engineering0203 mechanical engineeringFlexural strengthDeflection (engineering)Layered beamMechanics of MaterialComposite materialGeneralized functionbusiness.industryMechanical EngineeringMathematical analysisCharacteristic equationStructural engineering021001 nanoscience & nanotechnology020303 mechanical engineering & transportsMechanics of MaterialsTranslational supportCeramics and Composites0210 nano-technologybusinessBeam (structure)Composites Part B: Engineering
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Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

2017

The paper deals with the stochastic dynamics of a vibroimpact single-degree-of-freedom system under a Gaussian white noise. The system is assumed to have a hard type impact against a one-sided motionless barrier, located at the system's equilibrium. The system is endowed with a fractional derivative element. An analytical expression for the system's mean squared response amplitude is presented and compared with the results of numerical simulations.

PhysicsMean squareMechanical EngineeringDynamics (mechanics)Degrees of freedom (physics and chemistry)White noise01 natural sciences010305 fluids & plasmasClassical mechanics0103 physical sciencesStatistical physicsSafety Risk Reliability and Quality010301 acousticsSafety Research
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A numerical assessment of the free energy function for fractional-order relaxation

2014

In this paper a novel method based on complex eigenanalysis in the state variables domain is proposed to uncouple the set of rational order fractional differential equations governing the dynamics of multi-degree-of-freedom system. The traditional complex eigenanalysis is appropriately modified to be applicable to the coupled fractional differential equations. This is done by expanding the dimension of the problem and solving the system in the state variable domain. Examples of applications are given pertaining to multi-degree-of-freedom systems under both deterministic and stochastic loads.

Stress (mechanics)Materials scienceClassical mechanicsDiscretizationElastic energyStress relaxationRelaxation (physics)Strain energy density functionFunction (mathematics)MechanicsSettore ICAR/08 - Scienza Delle CostruzioniEnergy (signal processing)Free Energy Fractional Hereditary Materials Power-Laws Rheological modelsICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014
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Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

2019

The dynamics of beams equipped with tuned mass dampers is of considerable interest in engineering applications. Here, the purpose is to introduce a comprehensive framework to address the stochastic response of the system under stationary and non-stationary loads, considering inertia effects along the spring of every tuned mass damper applied to the beam. For this, the key step is to show that a tuned mass damper with spring inertia effects can be reverted to an equivalent external support, whose reaction force on the beam depends only on the deflection of the attachment point. On this basis, a generalized function approach provides closed analytical expressions for frequency and impulse res…

media_common.quotation_subjectSpring inertia effectStochastic response02 engineering and technologyInertia01 natural sciences0203 mechanical engineeringDeflection (engineering)Control theoryTuned mass damper0103 physical sciences010301 acousticsImpulse responsemedia_commonPhysicsGeneralized functionMechanical EngineeringBeamGeneralized functionCondensed Matter PhysicsTuned mass damper020303 mechanical engineering & transportsReactionMechanics of MaterialsRandom vibrationBeam (structure)
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Stochastic response of a fractional vibroimpact system

2017

Abstract The paper proposes a method to investigate the stochastic dynamics of a vibroimpact single-degree-of-freedom fractional system under a Gaussian white noise input. It is assumed that the system has a hard type impact against a one-sided motionless barrier, which is located at the system’s equilibrium position; furthermore, the system under study is endowed with an element modeled with fractional derivative. The proposed method is based on stochastic averaging technique and overcome the particular difficulty due to the presence of fractional derivative of an absolute value function; particularly an analytical expression for the system’s mean squared response amplitude is presented an…

Mechanical equilibriumvibroimpact systemfractional derivative02 engineering and technologyGeneral MedicineWhite noiseType (model theory)021001 nanoscience & nanotechnologystochastic averaging methodExpression (mathematics)law.inventionFractional calculus020303 mechanical engineering & transportsStochastic dynamicsEngineering (all)0203 mechanical engineeringControl theorylawResponse AmplitudeApplied mathematics0210 nano-technologySettore ICAR/08 - Scienza Delle CostruzioniMathematics
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