Analysis of an optimal tuned mass damper in non-linear asymmetrical structures
DOI:
https://doi.org/10.4067/s0718-28132018000100039Keywords:
tuned mass damper, structural damage, asymmetrical structure, non-linear structure, optimizationAbstract
The behaviour of the tuned mass damper (TMD) attached to an asymmetrical structure with three nonlinear plans in the direction of the seismic excitation is analyzed. The non-linear behaviour is modelled through the Bouc-Wen element. Two optimization criteria are considered: the first one consists on achieving simultaneously the uniform balance and reduction of the hysteretic energy in the non-linear plans; and the second is based on the minimization of the structural damage by means of a proposed damage functional, consisting in the mean between the standardized hysteretic energy of the system and the correlation coefficient between the movement and the rotation of the plant, in order to reach the torsion balance. The study is performed from a stochastic stationary point of view. It is found that the optimal frequency of the TMD is tuned with the linear equivalent frequency to the predominant mode. The optimal position of the TMD, for both studied criteria, is at the border where the greater deformation and hysteretic energy occur on the structure without TMD. It is noted that for the second criterion the term of the correlation coefficient reaches a null value, observing torsion balance of the structure. Also, the TMD is efficient in the reduction of the deformation and hysteretic energy dissipation, reducing more the hysteretic energy ratio with respect to the energy of the asymmetrical system, and the border deformation on the floor plan closer to the optimal position of the TMD.
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