Optimal Design of Bidirectional Friction Pendulum Tuned Mass Damper with Varying Curvature

Optimal Design of Bidirectional Friction Pendulum Tuned Mass Damper with Varying Curvature

In this paper, a bidirectional friction pendulum tuned mass damper(BFPTMD) has been proposed to reduce the structural response of a building. The BFPTMD was designed such that the curvature varies with the orientation. Therefore, the bidirectional frequencies of the TMD can be tuned with the structural frequencies even though they are different in the two horizontal directions. The design parameters of BFPTMD were optimized such that the sum of squares of structural response is minimized by direct search method in MATLAB. Finally, the BFPTMD was implemented on the structure of Taipei 101 simplified as single degree-of-freedom(SDOF) system in the two horizontal directions. The analytical result shows that when structural bidirectional natural frequencies are different, the vibration reduction of the TMD with varying curvature is better than the one with fixed curvature.