Abstract
Adjustable mass dampers are recently used to reduce seismic vibrations of engineering structures. Function of these types of systems requires a suitable setting of their parameters. In this study, a practical method to design Multiple Tuned Mass Dampers (MTMD) has been proposed to minimize the maximum displacement of roof, acceleration of roof and TMDs displacement to reduce the seismic response of structures. To solve the problem Cuckoo Optimization Algorithm (CMOA) has been used. The results of numerical simulations for a shear frame of ten floors exposed to earthquakes demonstrate that CMOA is able to present appropriate solutions in the form of Parato charts for setting optimal parameters of MTMD, caused by creating a proper compromise between the objective functions in conflict with each other. Eventually, MTMD desirably reduces seismic responses of structures. Also, MTMD performance depends on input quake, TMD mass ratio and the number of TMDs.
Highlights
Tuned Mass Damper (TMD) is one of the passive means of energy dissipation
An effective way has been proposed to design Multiple Tuned Mass Dampers (MTMD) to reduce the seismic response of structures that is based on defining a multi-objective optimization problem and to solve it cuckoo multi-objective optimization algorithms is used
Since MTMD is a multi-objective optimization problem, three objective criteria including minimizing the maximum displacement of roof, maximum acceleration of roof and TMD maximum displacement of roof are considered in the optimization problem
Summary
Tuned Mass Damper (TMD) is one of the passive means of energy dissipation. By absorbing some of the input energy from the dynamic load to the structure, this tool reduces the demand for energy dissipation in the main structure (Hoang and Warnitchai, 2005). (Tigli, 2012) studied linear dampers system subject to random loads and presented a formula It has proposed an efficient method for designing MTMD to reduce the seismic response of structures based on the definition of an optimization problem (GA) where TMDs' parameters are considered as variables and minimizing the greatest structural response is considered as a function. In reducing MTMD setting optimal parameters problem, three seismic answers including roof displacement, roof acceleration and displacement of TMD can be considered as objective functions. Considering reduction of roof displacement alone may lead to roof momentum increase, on the other hand, the reduction of TMD displacement due to physical space limitations defined for TMDs movement should be considered in the optimization This is while, in previous studies, the problem of setting optimal parameters of TMD and MTMD is studied only with respect to one objective function. The amount of this being affected in structural shift is more than in deceleration of the structure
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