Tuned mass damper (TMD) has been proposed as one of the vibration control methods for rehabilitation of buildings. Because the parameters of TMD can significantly affect the seismic performance of structures, many researches focused on finding the optimum parameters. Because earthquakes are random phenomena and future earthquakes in comparison with past earthquakes may be more destructive, the optimum design of TMD subjected to selected earthquakes can be nonconservative. Hence, the main contribution of this paper is to present the optimal design of TMD for the seismic vibration control of a structure subjected to a critical earthquake that produces the most severe response of a structure. In order to achieve this purpose, the parameters of TMD are optimized through minimizing the maximum displacement of the roof.First, three optimization methods are used to obtain the optimal parameters of TMD for a 10story shear building subjected to the critical earthquakes. Finally, the responses of the controlled and uncontrolled buildings such as the roof displacement, strokes, transfer function, and different forms of energy are compared. Results show that the optimum designs of TMD not only effectively reduce the roof displacement but also improve the seismic performance of the building. KEYWORDS critical earthquake, energy, maximum roof displacement, optimum parameters, tuned mass damper, vibration control
| INTRODUCTIONThe vibration control of buildings subjected to severe earthquakes is considered as an important problem in earthquake engineering and seismic design of structures. Methods of the vibration control are categorized into passive, active, semiactive, and hybrid control. The tuned mass damper (TMD) system, consisting of a mass, damper, and spring, has been considered as a passive energy-absorbing system. Finding optimum values of the TMD parameters is a challenging task for structural engineers. Many researchers have investigated the optimum parameters of the TMD system using different optimization algorithm. [1][2][3][4][5][6][7][8][9][10][11][12] For instance, Etedali and Mollayi [3] used the least squares support vector machine to predict the optimum parameters of TMD. The charged system search (CSS) and the genetic algorithm (GA) methods were proposed to find the optimum parameters of the TMD system to reduce the responses of tall buildings subjected to earthquake excitation. [6,10] GA has been developed on the basis of concepts of genetics and Darwinian survival of the fittest. In this method, the design variables of the optimization problem are presented by chromosomes, and each component of the set is called a gene. [13] On the other hand, the CSS utilizes the Newtonian law of mechanics as well as electrical physics laws to direct agents in order to recognize the optimum solutions. [14] In a study conducted by Salvi and Rizzi, [11] the optimum parameters of the TMD system for a frame structure subjected to a specific earthquake excitation were determined. In addition, the minimax problem has been used ...