Optimal Design of Friction Pendulum System Typed Tuned Mass Damper
Date Issued
2008
Date
2008
Author(s)
Chen, Hsuang-Hung
Abstract
In this report, optimal design of a structure implemented with a friction pendulum system (FPS) typed tuned mass damper (TMD) is proposed. Two kinds of friction system are considered. One of them is fixed friction system whose friction coefficient is fixed and independent of relative displacement; the other one is variable friction system whose friction coefficient is variable and dependent on relative displacement. At first, by employing the first order state-space equation transferred from the motion equation of a structure implemented with a FPS typed TMD, the discrete-time state-space equation by which the time history analysis can be conducted is derived. In computing friction force, an equation which includes two kinds of motion behaviors (stick and slip states) is proposed. Then, the procedure of optimal theory is proposed to obtain the optimal design parameters of FPS typed TMD, and the iteration method and golden section search are used in the process. Moreover, the effect of design parameters to vibration suppression (sensibility analysis) is studied. Finally, as an example the structural response of Taipei 101 implemented with a FPS typed TMD subjected to designed wind force is simulated, and the feasibility is verified and compared with the original design of the nonlinear viscous TMD for Taipei 101. The result shows that optimal theory works but relies on an assumption: small angle of sliding of FPS typed TMD. In the analysis of parameters, it shows that vibration suppression is very sensitive to frequency ratio, but not to friction parameters. In case study, once the TMD is properly designed, no matter fixed or variable FPS typed TMD, the requirement of comfort for Taipei 101 can be satisfied such that the peak acceleration of roof is reduced to less than 5 gal, and the variable FPS typed TMD is most effective one.
Subjects
structural control
tuned mass damper (TMD)
nonlinear
FPS
Type
thesis
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