Search results for "stochastic linearization"

showing 7 items of 7 documents

Amplification of Interstory Drift and Velocity for the Passive Control of Structural Vibrations

2008

Mitigation of structural damage due to earthquake ground motion may be performed by inserting dampers in the structure. In order to enhance the damping effect various toggle brace configurations have been recently proposed. In this paper these equipments are analyzed in detail and compared with a new one here proposed. The analysis is performed by taking into account the inherent nonlinearities of the damper by means of stochastic analysis and validated by using time histories of recorder accelerograms and by the stochastic analysis using spectrum consistent power spectral density.

Ground motionMaterials scienceViscous damperbusiness.industryStochastic processSpectral densityStructural engineeringpassive control viscous dampers toggle-brace stochastic linearization spectrum consistent power spectral densityBraceDamperPassive controlVibrationSettore ICAR/08 - Scienza Delle Costruzionibusiness
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Non-linear Correlation Coefficients for pushover analysis

2013

Aiming to put forward an improvement on Multimodal Pushover Analysis, a modified version of the modal correlation rule that takes into account the non-linear behavior of structures is proposed. The modification is primarily based on using the correlation coefficients consistent with the mechanical and dynamical properties of the hysteretic oscillators utilized in the MPA method, i.e. determined taking into account the second order statistics pertinent to the non-linear oscillators. Initially, the new correlation coefficients are evaluated by Monte Carlo Simulations (MCS), assuming a spectrum-compatible representation of the seismic input. The results of a large numerical parametric analysis…

Settore ICAR/09 - Tecnica Delle Costruzionimodal pushovercorrelation coefficientscorrelation coefficients; modal pushover; hysteretic behaviour; stochastic linearization.hysteretic behaviourstochastic linearizationcorrelation coefficients modal pushover hysteretic behaviour stochastic linearization
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Probabilistic response of linear structures equipped with nonlinear dampers 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…

Short-time Gaussian approximationStochastic linearization techniqueViscous damperNonlinear systemSettore ICAR/08 - Scienza Delle CostruzioniPath integral solution
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A subtle error in conventional stochastic linearization techniques

1998

Abstract The stochastic linearization technique as applied to the SDOF system is re-examined. Two standard procedures associated with the stochastic linearization, widely adopted in the literature, are shown to be erroneous. Two new procedures to correct the errors made in previous works are introduced. To gain more insight, the procedures are applied to the quintic oscillator. Comparative numerical analysis is performed.

Stochastic linearization; Random processesControl theoryLinearizationGeneral MathematicsApplied MathematicsNumerical analysisStochastic linearizationRandom processesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematicsQuintic functionChaos, Solitons & Fractals
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Linear and nonlinear approximations for periodically driven bistable systems

2005

We analyze periodically driven bistable systems by two different approaches. The first approach is a linearization of the stochastic Langevin equation of our system by the response on small external force. The second one is based on the Gaussian approximation of the kinetic equations for the cumulants. We obtain with the first approach the signal power amplification and output signal-to-noise ratio for a model piece-wise linear bistable potential and compare with the results of linear response approximation. By using the second approach to a bistable quartic potential, we obtain the set of nonlinear differential equations for the first and the second cumulants.

Stochastic resonance; Stochastic linearization; Linear response theory; Gaussian approximationSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStochastic linearizationGaussian approximationLinear response theoryStochastic resonance
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Design Of TLCD under random loads: a new formulation

2012

passive control tuned liquid column damper stochastic linearizationSettore ICAR/08 - Scienza Delle Costruzioni
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Stochastic seismic analysis of MDOF structures with viscous damper devices

2009

Fluid damper devices in civil structures such as buildings or bridges are commonly used as energy absorbers for seismic protection. The problem in the response analysis of structures with filled dampers mainly consists in the fact that, due to the strongly nonlinear behavior of such equipments, the response spectrum technique fails. In this paper by using the concept of power spectral density function compatible with the elastic response spectrum and the stochastic linearization technique, the equivalent damping ratio is obtained. It is shown that once the system is linearized results obtained by Monte Carlo simulation and those obtained by stochastic analysis are in good agreement. Respons…

viscous dampers stochastic linearization equivalent damping ratio non classically damped systemsSettore ICAR/08 - Scienza Delle Costruzioni
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