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Abstract
Strategies of vibration control in structure have been attracted many of researchers in recent years. The various types of passive damping devices including the conventional Tuned Mass Damper system (TMDs) are reviewed. Design of the optimum parameters of the TMDs, where. the harmonic loading is applied to an undamped SDOF structure is presented. Previous work is extended to obtain the optimum value of conventional TMD parameters when the structural damping is included. Comparison of results is made. Simplified design formulas for evaluating the optimum parameters of the conventional TMD’s attached to damped SDOF structure are suggested. For multi-degree of fredom structures, a parametric study is carried out for a variety of R.C structures when different number of TMDs with different locations is employed.
A new technique for passive energy dissipation which employs TranslationallRotational TMD (T-R TMD) is presented and employed. Two methods that have been used in the litrature to obtain the optimum design parameters of conventional TMD are generalized for the T-R TMD proposed in this work. In the first method, the optimum design parameters are defined as those parameters that minimize the maximum displacement of the main structure when subjected to harmonic loading. While in the second method, they are defined as those which would result in equal and large modal damping in the first two modes of vibration regardless of the type of excitation. Numerical computer procedures are developed to obtain the optimum design parameters for both methods. Comparative studies are made to study the effect of the various T-R TMD properties on the optimum damping ratio and the optimum frequency ratio. Simplified design formulas for evaluating these parameters are also suggested for each method. SDOF and MDOF framed structures are selected to investigate the effectiveness of the proposed T-R TMD system in reducing structural response when subjected to different earthquake loadings. The study shows the efficiency of the proposed technique.