Application of Phase Control for Seismic Design of Passive and Semi-active Tuned Mass Dampers
Date Issued
2012
Date
2012
Author(s)
Ku, Ting-Yu
Abstract
The vibration suppression effect under base excition is proposed in this study that the optimal design for linear passive tuned mass damper (PTMD) and control algorithm of phase control for semi-active tuned mass damper (SATMD). Firstly, a linear tuned mass damper is installed on a single-degree-of-freedom (SDOF) system. The minimum mean square of structural displacement and absolute acceleration can be derived respectively under the white noise base acceleration. So the two methods of optimal parameters design for linear PTMD are proposed by using the iteration method and the design formula. Then making use of the phase control as the control principle, the control algorithm can be proposed. It makes the relative displacement of SATMD maintain 90 degree lag to the structural displacement. The SDOF structure with a period of 3 seconds is subjected to sinusoidal and random base acceleration, respectively. The results of numerical simulations show that after installing TMD, the structural response can be reduced effectively. To compare the effective frequency range of vibration suppression, SATMD is wider than PTMD. In addition, the sensitivity analyses of frequency ratio and TMD damping ratio, respectively, show that SATMD has better adaptability than PTMD and needs no additional damper. Searching through the three-dimensional figure of structural response with frequency ratio and TMD damping ratio can find that the mininmum structural response is little different to the structural response with frequency ratio equals to one. It means that the SATMD a good robustness. Finally, the numerical simulations of two earthquake excitations show some results. Whether the TMD is passive or semi-active, it is not good for reducing the peak value of structural response. However, SATMD is still not sensitive to the parameters and has more effective vibration suppression than PTMD on the whole. Searching through the three-dimensional figure can also find that the mininmum structural response is little different to the structural response with frequency ratio of SATMD equals to one. The SATMD may not need to use the optimal design, and it can have good vibration suppression effect. By the above numerical simulation, it can be verified that the SATMD by using the proposed control algorithm is indeed valid and has its advantages.
Subjects
tuned mass damper
base vibration
optimal design
principle of phase control
semi-active control
Type
thesis
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