Abstract
Multiple tuned mass dampers (MTMDs) distributed along height of a high-rise building are investigated for their effectiveness in vibration response control. A 76-storey benchmark building is modeled as shear type structure with a lateral degree of freedom at each floor, and tuned mass dampers (TMDs) are installed at top/different floors. Suitable locations for installing the TMDs and their tuning frequencies are identified based, respectively, on the mode shapes and frequencies of the uncontrolled and controlled buildings. Multimode control strategy has been adopted, wherein each TMD is placed where the mode shape amplitude of the building is the largest or large in the particular mode being controlled and tuned with the corresponding modal frequency. Newmark’s method is used to solve the governing equations of motion for the structure. The performance of the distributed MTMDs (d-MTMDs) is compared with single tuned mass damper (STMD) and all the MTMDs placed at top floor. The variations of top floor acceleration and displacement under wind loads are computed to study the effectiveness of the MTMDs in vibration control of the high-rise building. It is concluded that the d-MTMDs are more effective to control wind induced vibration than the STMD and the MTMDs placed at top floor.
Highlights
The buildings are built taller, lighter, and slender as per modern world requirement, with the use of advanced technology, knowledge of new materials, and analysis software, which have assured safe constructions and comfort to human life
For the building installed with the single tuned mass damper (STMD), Multiple tuned mass dampers (MTMDs), or distributed MTMDs (d-MTMDs), the stiffness and damping of the tuned mass dampers (TMDs) are incorporated in the generic stiffness matrix [Ks] and damping matrix [Cs] defined, respectively, in (3) and (4) with corresponding displacement and velocity vectors, as follows:
The improvement in the performance criteria J3, J4, J9, and J10 is achieved when five modes are controlled in the d-MTMDs with their optimized locations and parameters (Figure 4), as compared to that of the MTMDs all installed at the top floor
Summary
The buildings are built taller, lighter, and slender as per modern world requirement, with the use of advanced technology, knowledge of new materials, and analysis software, which have assured safe constructions and comfort to human life. Investigated the dynamic characteristics and effectiveness of the MTMDs with distributed natural frequencies under random loading They reported that the MTMDs were most effective in controlling the motion of the primary system. Bakre and Jangid [14] studied the optimum parameters of the MTMD system, wherein the damping ratio and tuning frequency bandwidth were obtained using the numerical searching technique for different values of number and mass ratio of the MTMDs. Han and Li [15] had reported the effectiveness of the MTMDs with their natural frequencies being uniformly distributed around their mean natural frequency. A study reported by Patil and Jangid [18] showed that optimum MTMDs are much more effective and robust as compared to a single TMD for the wind excited benchmark building. The vibration control strategy adopted here is termed as multimode control
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