2010
DOI: 10.1243/1748006xjrr310
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Efficiency of tuned mass dampers with uncertain parameters on the performance of structures under stochastic excitation

Abstract: Tuned mass dampers serve the purpose of damping vibrations of structures such as earthquake-induced vibrations. In their design, two types of uncertainty are relevant: the stochastic excitation (e.g. earthquake record) and the inherent uncertainty of internal parameters of the devices themselves. This paper presents a new framework that admits the combination of stochastic processes and interval-type parameter uncertainty, modelled by random sets. The approach is applied to show how the efficiency of tuned mas… Show more

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Cited by 21 publications
(14 citation statements)
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References 25 publications
(34 reference statements)
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“…The earthquake‐induced ground acceleration is modeled as a modified filtered Gaussian white noise random process corresponding to the K‐T spectrum . This model has been widely used in the literature for studying control systems (e.g., De Angelis et al ., Schmelzer et al ., and Ramallo et al …”
Section: Ground Excitationmentioning
confidence: 90%
“…The earthquake‐induced ground acceleration is modeled as a modified filtered Gaussian white noise random process corresponding to the K‐T spectrum . This model has been widely used in the literature for studying control systems (e.g., De Angelis et al ., Schmelzer et al ., and Ramallo et al …”
Section: Ground Excitationmentioning
confidence: 90%
“…In the latter cases, appropriate reduced‐order models are preliminarily necessary so as to reduce the computational effort before the tuning procedure. Although all these more accurate procedures are preferable, most of the literature studies dealing with the TMD tuning address only a single mode of vibration in a simplified way, especially in the context of framed buildings and earthquake excitations like the ones considered in this paper, see, for example, previous studies . A simplified way to extend the optimal design of the TMD to MDOF systems, which neglects the higher order modes of the superstructure, has been described in De Domenico et al and is adopted here.…”
Section: Optimal Design and Tuning Proceduresmentioning
confidence: 99%
“…In order to obtain effective control strategy, many optimal design methods of TMD have been proposed to suppress the undesirable structural vibrations induced by winds and earthquakes . It is well known that the effectiveness and robustness of the TMD rely largely on its mass ratio to the host structure.…”
Section: Introductionmentioning
confidence: 99%
“…In order to obtain effective control strategy, many optimal design methods of TMD have been proposed to suppress the undesirable structural vibrations induced by winds 3,4 and earthquakes. [5][6][7] It is well known that the effectiveness and robustness of the TMD rely largely on its mass ratio to the host structure. However, due to the practical reasons, the TMD mass ratio is limited to several percent of the modal mass of the total structure, which attenuates the robustness of the TMD to the uncertainties in dynamic characteristics of the structure and the external excitations, making it difficult for the TMD to be used for large seismic vibration control.…”
Section: Introductionmentioning
confidence: 99%