Constrained reliability-based optimization of linear tuned mass dampers for seismic control

Marano, Giuseppe Carlo; Greco, Rita; Trentadue, Francesco; Chiaia, Bernardino

doi:10.1016/j.ijsolstr.2007.04.012

Cited by 91 publications

(48 citation statements)

References 11 publications

(11 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The consideration of relative motion of damper mass with respect to main mass to restrain the compressed or extended physical limits of either damper or stiffener in TMD design is also notable (Marano, Greco, Trentadue, & Chiaia, 2007;Materazzi & Ubertiniy, 2012;Yaohua & Qizhi, 2000). A penalty is imposed on the control effort to obtain controllers for a range of damper displacement amplitudes for system with space constraints (i.e.…”

Section: Introductionmentioning

confidence: 99%

Optimal performance of base isolated building considering limitation on excessive isolator displacement

Das

Gur

Mishra

et al. 2014

Structure and Infrastructure Engineering

View full text Add to dashboard Cite

The past studies on optimisation of isolation bearings emphasise on the allowable limit on the isolator displacement without incorporating it in the optimisation process. Large bearing displacement of the isolator during strong motion is often linked to isolator damage and pounding to adjacent units. The present study addresses the limitation on the excessive isolator displacement in the optimisation process of the isolator. It is intended not only to assure optimal performance in terms of vibration mitigation, but also to reveal the importance of constraining excessive isolator displacements. The stochastic response required for the optimisation study is evaluated through nonlinear random vibration analysis. The consistency of the optimal response behaviour obtained through stochastic optimisation is validated for recorded earthquake ground motions. A Lead Rubber Bearing (LRB), isolating a multi-story shear building is used to elucidate the effect of this constraint on the optimum parameters and system performance. The results clearly indicate the existence of significant disparities among the conventional unconstrained and the proposed constrained optimisation approach.

show abstract

Section: Introductionmentioning

confidence: 99%

Optimal performance of base isolated building considering limitation on excessive isolator displacement

Das

Gur

Mishra

et al. 2014

Structure and Infrastructure Engineering

View full text Add to dashboard Cite

show abstract

“…In this regard, it is important to observe that many works (Lavan and Avishur 2013;Marano et al 2007; employ the sum of the viscous damping constants P N d i¼1 C d;i as objective function for the optimization problem. However, the cost of the dampers depends on the forces and the strokes the dampers have to withstand rather than on the values of the damper viscous constants (Bahnasy and Lavan 2013;Pollini et al 2017).…”

Section: Reliability Based Design Optimization Problem Formulationmentioning

confidence: 99%

“…Dall'Asta et al (2017) studied the specific effects of the damper property variability by linking the tolerance allowed in quality control tests and production tests to the relevant variability of the risk of exceedance of the most interesting parameters controlling the seismic performance. Despite the importance of a probabilistic approach for the performance evaluation, only few methodologies have been developed so far (Marano et al 2007;Taflanidis 2010;) that can be employed to control the risk of failure in buildings equipped with dampers, or the costs associated to it (Taflanidis and Beck 2009;Gidaris and Taflanidis 2015). None of these studies have however investigated in depth the influence of the velocity exponent a on the design results.…”

Section: Introductionmentioning

confidence: 99%

“…The methodology allows finding the optimal damper properties that minimize an objective function related to the dampers cost, while considering a constraint on the performance of the frame. In particular, the sum of the damper forces, a quantity dependent on the response, is considered as objective function, differently from other existing methodologies (Marano et al 2007; which consider the sum of the damper viscous constants, a deterministic quantity, to simplify the design problem. The proposed approach permits to compare the design solutions obtained for different levels of the damper velocity exponent.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reliability-based optimal design of nonlinear viscous dampers for the seismic protection of structural systems

Altieri

Tubaldi

Angelis

et al. 2017

Bull Earthquake Eng

View full text Add to dashboard Cite

Viscous dampers are widely employed for enhancing the seismic performance of structural systems, and their design is often carried out using simplified approaches to account for the uncertainty in the seismic input. This paper introduces a novel and rigorous approach that allows to explicitly consider the variability of the intensity and characteristics of the seismic input in designing the optimal viscous constant and velocity exponent of the dampers based on performance-based criteria. The optimal solution permits controlling the probability of structural failure, while minimizing the damper cost, related to the sum of the damper forces. The solution to the optimization problem is efficiently sought via the constrained optimization by linear approximation (COBYLA) method, while Subset simulation together with auxiliary response method are employed for the performance assessment at each iteration of the optimization process. A 3-storey steel moment-resisting building frame is considered to illustrate the application of the proposed design methodology and to evaluate and compare the performances that can be achieved with different damper nonlinearity levels. Comparisons are also made with the results obtained by applying simplifying approaches, often employed in design practice, as those

show abstract

“…In fact, Rüdinger [2] investigated the response of a nonlinear TMD subject to a stationary white noise obtaining some optimal mechanical parameters. Marano et al [3][4][5] proposed another interesting approach based on a procedure in which a single linear TMD problem is treated and on the fact that the earthquake can be represented by a stationary filtered stochastic process. In their work, the main goal is to minimize the maximum of the dimensionless peak of displacement of the protected system in respect of the unprotected one.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Structural Analysis of a Tuned Mass Damper Subject to Random Vibration

Marano

Morrone

Quaranta

et al. 2008

Advances in Acoustics and Vibration

Self Cite

View full text Add to dashboard Cite

The uncertainty is a typical feature of each human activity since the greatest part of the information is always affected by a sure level of scattering. Different methodologies which deal with the uncertainty of the real problems exist. The principal aim of this paper is to present an innovative hybrid approach which combines fuzzy and stochastic theories in facing the structural analysis of a tuned mass damper subject to a dynamic random load, modelled by a modulated filtered white noise. In this work the parameters involved in the structural analysis will be considered uncertain and supposed fuzzy sets to take into account the effects of lexical and informal uncertainties which cannot be studied in a probabilistic way. The system analysis is conducted by means of α-level optimization technique. Successively, a numerical example is presented to show the effectiveness of the proposed procedure. Moreover, a sensitivity analysis is performed to expose the variation of the structural response membership function considering different input values. Finally, a comparison between the response nominal value and the fuzzificated one is proposed to obtain a structural amplification factor.

show abstract

Constrained reliability-based optimization of linear tuned mass dampers for seismic control

Cited by 91 publications

References 11 publications

Optimal performance of base isolated building considering limitation on excessive isolator displacement

Optimal performance of base isolated building considering limitation on excessive isolator displacement

Reliability-based optimal design of nonlinear viscous dampers for the seismic protection of structural systems

Fuzzy Structural Analysis of a Tuned Mass Damper Subject to Random Vibration

Contact Info

Product

Resources

About