Abstract
The application of optimization techniques to design passive energy dissipation devices of structures subject to seismic excitation has rapidly increased in the past decades. It is now widely acknowledged that uncertainties inherent to the earthquake loading and structural parameters must be taken into account in the design process. In the case of friction‐tuned mass dampers (FTMDs), this optimization under the uncertainty problem leads to the following issues: (a) the high computational cost of the objective function since we are dealing with time‐dependent reliability analysis of nonlinear dynamical models and (b) the nonconvexity and multimodality of the resulting optimization objective function. In order to address these issues, we propose here the use of efficient global optimization (EGO) for the probability of failure minimization in FTMD design. EGO is a metamodel‐(kriging‐) based optimization scheme able to handle expenses to evaluate objective functions, and its capabilities have not been explored in the optimal FTMD design. In order to show the effectiveness of EGO, its results are compared to those of other algorithms from the literature. The results showed that EGO outperformed the competing algorithms, successfully providing the optimum solution of FTMD design under uncertainty within a reasonable computational effort.
Highlights
Academic Editor: Mickael Lallart e application of optimization techniques to design passive energy dissipation devices of structures subject to seismic excitation has rapidly increased in the past decades
In the case of friction-tuned mass dampers (FTMDs), this optimization under the uncertainty problem leads to the following issues: (a) the high computational cost of the objective function since we are dealing with time-dependent reliability analysis of nonlinear dynamical models and (b) the nonconvexity and multimodality of the resulting optimization objective function
In order to show the effectiveness of efficient global optimization (EGO), its results are compared to those of other algorithms from the literature. e results showed that EGO outperformed the competing algorithms, successfully providing the optimum solution of FTMD design under uncertainty within a reasonable computational effort
Summary
It should be noted that some aspects of real structures are not taken into account in the model employed here; for example, assuming the structural response linear elastic, the excitation comes from a stationary process, the random variables of each floor are uncorrelated, and so on It remains as a fairly complex problem comprehending the engineering fields of optimization, control, nonlinear dynamics, and reliability. In the case of the NM algorithm, we selected 10 initial points on the design domain using the same procedure employed for the initial sampling plan of kriging For this algorithm, the results shown in the section demonstrate the average computational cost of a local search. (ii) Case 2: the barrier is the interstory drift limit, which is taken from Eurocode [24] as 1.5% h, in which h is the floor height
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