Designing optimal tuned mass dampers for nonlinear frames by distributed genetic algorithms

Abstract

SUMMARY In this paper, the capabilities of tuned mass dampers (TMDs) for the mitigation of response of nonlinear frame structures subjected to earthquakes have been studied. To determine the optimal parameters of a TMD, including its mass, stiffness and damping, we developed an optimization algorithm based on the minimization of a performance index, defined as a function of the response of the nonlinear structure to be controlled. Distributed genetic algorithm has been used to solve the optimization problem. For illustration, the method has been applied to the design of a linear TMD for an eight‐story nonlinear shear building with bilinear hysteretic material behavior subjected to earthquake. The results have shown that the method has been successful in determining the TMD parameters to reduce the structure response. The simplicity and desirable convergence behavior of the method have also been two important results of the method. Two performance indices have been defined: (a) the minimization of the maximum drift and (b) the accumulated hysteretic energy. It has also been shown that the efficiency of the TMD has been influenced by the mass ratio of the TMD, the maximum TMD stroke length and the TMD design earthquake. Copyright © 2011 John Wiley & Sons, Ltd.

Effective Semiactive Base Isolation System under Multiple Earthquakes

“…where Q and r are the response weighting matrix and force weighting parameter that a ect the performance of the active and semiactive control systems [29] and should be selected properly. Similar to the previous researches in designing semiactive control systems, in this paper, too, the response related weighting matrix Q has been considered such that di erent weights are assigned to accelerations and drifts as follows [19,21]:…”

Optimal Design of Multiple Tuned Liquid Column Dampers for Seismic Vibration Control of MDOF Structures

“…This balanced energy dissipation capability of this device can facilitate controlling the response of a structure in two directions against strong seismic excitations which may cause damaging deformations or even nonlinear behavior in structural components. Note that the design methodology proposed in this paper can also be extended for nonlinear structures where other important indices such as minimizing the maximum accumulated hysteretic energy [32] can be applied as the objective function in the design process of T LCDs which has been planned for subsequent studies by the authors.…”

کنترل بهینه‌ی ارتعاشات سازه‌ها با استفاده از تبدیل موجک و الگوریتم رقابت استعماری

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