Optimal design of friction pendulum tuned mass damper with varying friction coefficient

摘要

Tuned mass dampers with viscous damping and isolation systems with friction pendulums have been proposed andnwidely applied over the past several decades. By combining these two ideas, a friction pendulum tuned massndamper (FPTMD) is proposed in this study. Because the restoring and friction forces are provided by the sphericalnsurface of the FPTMD, springs and dampers are not needed. Moreover, suspension is not necessary and theninstallation space is greatly reduced. The optimal design of the FPTMD with varying friction coefficients fornwind-excited high-rise structures is investigated. The optimization procedures are demonstrated by the FPTMDnimplemented on Taipei 101 under white-noise wind force, and the optimization results are validated by threedimensionalngraphs. From the results of the sensitivity study, the effectiveness of the FPTMD with two differentnpatterns of friction coefficients is sensitive to the tuning frequency ratio but not very sensitive to the frictionnparameters. Moreover, an FPTMD with a friction coefficient that linearly varies with displacement is even lessnsensitive to the friction parameters and the amplitude of excitation. The feasibility of the FPTMD with twondifferent patterns of friction coefficient is illustrated by Taipei 101 subjected to the design wind force with a returnnperiod of 50 years. Following design optimization and numerical verification, the effect of vibration reduction fornTaipei 101 is demonstrated. Copyright © 2012 John Wiley & Sons, Ltd.