The Effect of Vibration Reduction of Bidirectional Friction Pendulum System Typed Tuned Mass Damper
Date Issued
2009
Date
2009
Author(s)
Lin, Ting-Han
Abstract
In this study, a bidirectional friction pendulum system (FPS) typed tuned mass damper (TMD) is proposed. If the structural bidirectional natural frequencies are different, by designing bidirectional different the radius of curvature of the bidirectional FPS typed TMD to tuning the TMD frequencies with the structural bidirectional natural frequencies, respectively. At first, conducts the curved surface equation of bidirectional FPS typed TMD, and describes its mechanical behaviors and dynamic equations in detail. The restoring force and friction force both are nonlinear, and varies with the position of the mass. By employing the first order state-space equation transferred from the motion equation of a structure implemented with a bidirectional 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. The behaviors of bidirectional FPS typed TMD under free-vibration, forced-vibration and ground motion is simulated, and then implements it on the bidirectional structural system. The design parameters of bidirectional FPS typed TMD are optimized such that the sum of squares of structural response is minimized by direct search method in MATLAB. Finally, the bidirectional FPS typed TMD is implemented on the structure of Taipei 101 such that bi-direction are simplified to single DOF system, respectively. The analytic result shows that when structural bidirectional natural frequencies are different, the vibration reduction of the variable curvature system is better than the fixed curvature system.
Subjects
tuned mass damper (TMD)
bidirectional
FPS
nonlinear
Type
thesis
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