Search results for "DAMPE"

showing 10 items of 127 documents

Exact Results for Spectra of Overdamped Brownian Motion in Fixed and Randomly Switching Potentials

2004

The exact formulae for spectra of equilibrium diffusion in a fixed bistable piecewise linear potential and in a randomly flipping monostable potential are derived. Our results are valid for arbitrary intensity of driving white Gaussian noise and arbitrary parameters of potential profiles. We find: (i) an exponentially rapid narrowing of the spectrum with increasing height of the potential barrier, for fixed bistable potential; (ii) a nonlinear phenomenon, which manifests in the narrowing of the spectrum with increasing mean rate of flippings, and (iii) a nonmonotonic behaviour of the spectrum at zero frequency, as a function of the mean rate of switchings, for randomly switching potential. …

Statistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesOverdamped Brownian MotionCondensed Matter - Statistical Mechanics
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Steady-state dynamic response of various hysteretic systems endowed with fractional derivative elements

2019

In this paper, the steady-state dynamic response of hysteretic oscillators comprising fractional derivative elements and subjected to harmonic excitation is examined. Notably, this problem may arise in several circumstances, as for instance, when structures which inherently exhibit hysteretic behavior are supplemented with dampers or isolators often modeled by employing fractional terms. The amplitude of the steady-state response is determined analytically by using an equivalent linearization approach. The procedure yields an equivalent linear system with stiffness and damping coefficients which are related to the amplitude of the response, but also, to the order of the fractional derivativ…

Steady state (electronics)Applied MathematicsMechanical EngineeringMathematical analysisLinear systemAerospace EngineeringBilinear interpolationEquations of motionEquivalent linearizationOcean EngineeringFractional derivative01 natural sciencesHysteretic systemDamperFractional calculusNonlinear systemHysteresisControl and Systems Engineering0103 physical sciencesElectrical and Electronic Engineering010301 acousticsSteady-state responseMathematics
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Probabilistic response of linear structures equipped with nonlinear damper devices (PIS method)

2008

Passive control introducing energy absorbing devices into the structure has received considerable attention in recent years. Unfortunately the constitutive law of viscous fluid dampers is highly nonlinear, and even supposing that the structure behaves linearly, the whole system has inherent nonlinear properties. Usually the analysis is performed by a stochastic linearization technique (SLT) determining a linear system equivalent to the nonlinear one, in a statistical sense. In this paper the effect of the non-Gaussianity of the response due to the inherent nonlinearity of the damper device will be studied in detail via the Path Integral Solution (PIS) method. A systematic study is conducted…

Steady stateMechanical EngineeringLinear systemConstitutive equationAerospace EngineeringOcean EngineeringStatistical and Nonlinear PhysicsProbability density functionCondensed Matter PhysicsDisplacement (vector)DamperNonlinear systemNuclear Energy and EngineeringControl theoryLinearizationCivil and Structural EngineeringMathematicsProbabilistic Engineering Mechanics
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Solving fully randomized first-order linear control systems: Application to study the dynamics of a damped oscillator with parametric noise under sto…

2022

[EN] This paper is devoted to study random linear control systems where the initial condition, the final target, and the elements of matrices defining the coefficients are random variables, while the control is a stochastic process. The so-called Random Variable Transformation technique is adapted to obtain closed-form expressions of the probability density functions of the solution and of the control. The theoretical findings are applied to study the dynamics of a damped oscillator subject to parametric noise.

Stochastic controlStochastic processApplied MathematicsRandom damped linear oscillatorsProbability density functionNoise (electronics)Computational MathematicsTransformation (function)Random control systemsInitial value problemApplied mathematicsFirst probability density functionMATEMATICA APLICADARandom variableRandom Variable Transformation techniqueMathematicsParametric statistics
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Structural vibration control through Tuned Liquid Column Dampers: theoretical and experimental analysis

Tuned Liquid Column DamperExperimental analysisPassive controlFractional calculusStochastic analysis
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Performance and optimal design of Tuned Mass Damper Inerter for base isolated systems

In this paper, the use of a Tuned Mass Damper Inerter to mitigate the seismic response of a base-isolated structure is studied and compared to other passive control devices. The control performance of four different types of hybrid passive control strategies aiming to reduce base displacements of isolated buildings is investigated. Specifically, the Tuned Mass Damper (TMD), the Tuned Liquid Column Damper (TLCD), and finally, the Tuned Mass Damper Inerter, each one associated to a Base Isolated structure (BI system) have been considered. This study has been carried out using as optimal design parameters of the TMDI those estimated by a proposed direct optimization procedure, considering a wh…

Tuned Mass Damper Inerter Base Isolation
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A variant design of Tuned Mass Damper Inerter for reducing displacements of base isolated structures

2021

In this study an innovative passive control strategy, referred to as New Tuned Mass Damper Inerter (New TMDI), coupled with a base isolation system (BI), is presented with the aim of reducing displacements in base isolated structures subject to seismic actions. The proposed New TMDI employs the synergetic benefits of a recently developed non-traditional Tuned Mass Damper (known as New TMD) and an inerter device to achieve higher control performances in isolated structures. Specifically, the New TMD is a secondary mass system connected to the BI system by a spring and to the ground by a dashpot. In addition, in the New TMDI configuration, the inerter device is placed in parallel with the dam…

Tuned Mass DamperInerterBase-isolation systemOptimal design.Settore ICAR/08 - Scienza Delle Costruzioni
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Stochastic response of beams equipped with tuned mass dampers subjected to Poissonian loads

2019

This contribution deals with the vibrational response of Euler-Bernoulli beams equipped with tuned mass dampers, subjected to random moving loads. The theory of generalised functions is used to capture the discontinuities of the response variables at the positions of the tuned mass dampers, which involves deriving exact complex eigenvalues and eigenfunctions from a characteristic equation built as the determinant of a 4 x 4 matrix, regardless of the number of tuned mass dampers. Building pertinent orthogonality conditions for the deflection eigenfunctions, the stochastic responses, under Poissonian white noise, are evaluated. In a numerical application, a beam with multiple tuned mass dampe…

Tuned Mass DamperPoissonian LoadsBeam
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Structural Vibration Control for a Class of Connected Multistructure Mechanical Systems

2012

Published version of an article from the journal: Mathematical Problems in Engineering. Also available from the publisher:http://dx.doi.org/10.1155/2012/942910 A mathematical model to compute the overall vibrational response of connected multistructure mechanical systems is presented. Using the proposed model, structural vibration control strategies for seismic protection of multibuilding systems can be efficiently designed. Particular attention is paid to the design of control configurations that combine passive interbuilding dampers with local feedback control systems implemented in the buildings. These hybrid active-passive control strategies possess the good properties of passive contro…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Engineering:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]Article SubjectGeneral MathematicsFeedback controlEdificis -- Vibració:Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]Feedback control systemsControl d'estructures (Enginyeria)DamperPassive control:93 Systems Theory; Control [Classificació AMS]Control theoryControlStructural vibrationBuildings -- VibrationControl (linguistics):93 Systems Theory [Classificació AMS]Class (computer programming)business.industryVDP::Technology: 500::Building technology: 530lcsh:MathematicsGeneral EngineeringControl engineeringlcsh:QA1-939Mechanical systemlcsh:TA1-2040Sistemes de control per retroaccióBuildings--VibrationSeismic protectionStructural control (Engineering)lcsh:Engineering (General). Civil engineering (General)businessMathematical Problems in Engineering
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Development of lumped-parameter mathematical models for a vehicle localized impact

2011

Published version of an article in the journal:Journal of Mechanical Science and Technology. Also available from the publisher on SpringerLink: http://dx.doi.org/10.1007/s12206-011-0505-x In this paper, we propose a method of modeling for vehicle crash systems based on viscous and elastic properties of the materials. This paper covers an influence of different arrangement of spring and damper on the models’ response. Differences in simulating vehicle-torigid barrier collision and vehicle-to-pole collision are explained. Comparison of the models obtained from wideband (unfiltered) acceleration and filtered acceleration is done. At the end we propose a model which is suitable for localized co…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413EngineeringMathematical modelbusiness.industryMechanical EngineeringVDP::Technology: 500::Mechanical engineering: 570MechanicsCollisionDamperAccelerationDevelopment (topology)Mechanics of MaterialsSpring (device)WidebandbusinessMaterial propertiesSimulationJournal of Mechanical Science and Technology
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