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In recent years, the use of Tuned Mass Damper (TMD) to reduce the dynamicresponses of structures under strong environmental loadings has become an area of considerable research interest. To design an optimum TMD requires the prior knowledge of modal properties of the controlled structure. For a real building structure, the lateral and torsional motions are coupled if the centers of mass and resistance do not coincide. Therefore, it is of great importance and necessity that system identification of torsionally-coupled buildings using real response measurements be carried out in conjunction with the design of optimal TMDs. In the first part of this thesis, a system identification technique is developed to evaluate the modal parameters of irregular buildings, modeled astorsionally-coupled buildings, based only on few floor earthquake response records. First, a modified random decrement technique is employed to reduce the floor response data to extract their corresponding free vibration responses.Then, the Ibrahim time domain technique is applied to calculate the structural modal frequencies, damping ratios and mode shapes. Because of using only partial floor response measurements, a mode shape interpolation method is also developed to estimate the mode shape values for the locations without measurement. The results through simulation data of a five-story building under 1940 El Centro bi-directional earthquakes and real records of a seven-story building in I-Lan, Taiwan due to 1994 Nan-Au earthquake (M=6.2) show that the proposed system identification technique is capable of identifying structural dominant modal parameters and responses accurately even with highly-coupled modes and high level of noise contamination. In the second part, the vibration control effectiveness of passive tuned mass dampers (PTMDs) to reduce the seismic responses of torsionally-coupled buildings is investigated. Some practical design issues such as the optimal installed location of PTMDs are considered in this study. The optimal PTMD''s system parameters are determined by minimizing the mean-square displacement response ratio of controlled DOF between the building with and without PTMDs. In addition, the parametric studies about the PTMD''s planar position and effect of detuning are investigated to realize their influence on the response control efficacy. Finally, numerical results from several typical multi-story torsionally-coupled buildings under bi-directional components of 1940 and 1979 El Centro earthquakes verify that the proposed optimal PTMDs are able to effectively reduce the building responses.
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