Search results for "Damped structure"

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Generalization of the Den Hartog model and rule-of-thumb formulas for optimal tuned mass dampers

2022

In recent years, the need of improving safety standards for both existing and new buildings against earthquake and wind loads has created a growing interest in the use of the so-called tuned mass dampers, exploited to control, in active or passive way, the dynamic response of structures. To design and optimize tuned mass damper systems, the effective analytical procedure proposed by Den Hartog in his seminal work (Den Hartog, 1985) has been widely adopted over the years, without including damping of the main structure. However, in many cases of engineering interest, the damping of the primary system plays a key role in the overall mechanical response, with the result of an increase in compl…

Fixed pointsOptimal damping ratioAcoustics and UltrasonicsDen Hartog modelOptimal tuning frequency ratioMechanics of MaterialsMechanical EngineeringDamped structureCondensed Matter PhysicsTuned mass damper
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Non-stationary pre-envelope covariances of non-classically damped systems

1991

Abstract A new formulation is given to evaluate the stationary and non-stationary response of linear non-classically damped systems subjected to multi-correlated non-separable Gaussian input processes. This formulation is based on a new and more suitable definition of the impulse response function matrix for such systems. It is shown that, when using this definition, the stochastic response of non-classically damped systems involves the evaluation of quantities similar to those of classically damped ones. Furthermore, considerations about non-stationary cross-covariances, spectral moments and pre-envelope cross-covariances are presented for a monocorrelated input process.

Spectral moments; pre-envelope covariances; Non-classically damped structuresSpectral momentsAcoustics and UltrasonicsMechanical EngineeringGaussianMathematical analysisProcess (computing)Condensed Matter PhysicsMatrix (mathematics)symbols.namesakeMechanics of MaterialsControl theorysymbolsEnvelope (mathematics)Infinite impulse responseImpulse responseMathematicsJournal of Sound and Vibration
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