| Summary: | 碩士 === 國立臺灣大學 === 土木工程學研究所 === 103 === In recent years, tuned mass dampers have been adopted in high-rise building to reduce the vibration under wind forces. However, there are many researches discussing the reducing effect of different methods and forms of TMDs without considering the robustness. This study used a “composite index” to take both the effectiveness and robustness into consideration, and pointed out the improvements after using the penalty function and compared the TMDs in different forms, methods, and objective functions.Furthermore, the actual earthquake records were used to examine the result statistically in this study.
Because the optimization method used in previous study is a gradient-based algorithm, optimal parameters could be the local minimum depending on the given initial conditions. This study used two algorithms to solve this problem thus making it more efficient to get the global minimum. Nevertheless, when the damping ratio of the main system is greater than zero, it is necessary to use the iteration method to obtain the optimal parameters. The equations we proposed to design the optimal TMD was calculated by using the regression method.
In the researches, it is quite common to design the TMDs by using the shear type buildings or simplifying MDOF to SDOF rather than the real structure. Although it’s much easier and faster to solve the problem, they are still different from real structures, and this study also precedes to discuss the differences between them.
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