This paper is dealing with mathematical modeling of TMD and its design. Usually the problems of optimization are converted to equivalent single degree of freedom (SDOF) structure at particular mode in order to optimize the damper. There are three main parameters in a TMD system: TMD mass, TMD stiffness coefficient and TMD dumping ratio. Consequently, the objective is to find the optimum value of these parameters. This paper is investigating optimization of TMD for multy story building and its influence on the 1st natural mode.
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