Optimum tuned mass damper for wind and earthquake response control of high-rise building

Abstract

The effectiveness of optimal single tuned mass damper (STMD) for wind and earthquake response control of high-rise building is investigated. Two buildings one 76-storey benchmark building and one 20-storey benchmark building are modeled as shear type structure with a lateral degree-of-freedom at each floor, and STMD is installed at top or different floors. The structure is controlled by installing STMD at different locations. The modal frequencies and mode shapes of the buildings are determined. Several optimal locations are identified based on the mode shapes of the uncontrolled and controlled benchmark building. The STMD is placed where the mode shape amplitude of the benchmark building is the largest/larger in the particular mode and each time tuned with the corresponding modal frequency, while controlling up to first five modes. The coupled differential equations of motion for the system are derived and solved using Newmark’s stepby- step iteration method. The variations of buildings responses under wind and earthquake forces are computed to study the effectiveness of the STMD. In addition the optimum mass ratios for STMD are obtained. It is observed that the STMD is effective to control the responses of structures subjected to wind and earthquake. Further, STMD tuned to higher modal frequencies will be effective to reduce the responses of the building significantly.