Abstract
The performance of multiple tuned mass dampers (MTMD) installed at the top floor of the wind excited benchmark building under across wind loads is investigated. The performance of MTMD is compared with that of single tuned mass damper (TMD) having same total mass. The governing equations of motion of the building with MTMD/ TMD are solved by employing state space formulation. Initially, the TMD is installed at the top floor of the benchmark building and the optimum parameters of the damper for the minimization of various performance criteria of the building are obtained for different mass ratios. Later on, the MTMD is installed at the top floor of the building and the optimum parameters are obtained for the minimization of various performance criteria of the building for different mass ratios and number of dampers. As it is easier to maintain the same stiffness of dampers, the stiffness of each damper in MTMD is maintained as constant. From the study, it is found that the MTMDs are quite effective and robust in the vibration control of the benchmark building. Santrauka Straipsnyje tiriamas kelių masės slopintuvų (KMS), įrengtų aukštybinio pastato, kurį veikia vėjo apkrovos, viršutiniame aukšte, poveikis konstrukcijai. Šis KMS poveikis lyginamas su vieno masės slopintuvo (VMS) poveikiu, teigiant, kad abiem atvejais suminės masės reikšmė yra ta pati. Pagal KMS ir VMS sudarytos judėjimo lygtys išspręstos pritaikius erdvinio būvio formuluotę. Iš pradžių VMS įrengiamas viršutiniame pastato aukšte ir šiam atvejui suskaičiuojami optimalus slopintuvo parametrai, minimizuojant įvairius darbo kriterijus ir įvertinant skirtingus masės koeficientus. Po to KMS įrengiami viršutiniame pastato aukšte ir optimalūs parametrai apskaičiuojami šiam atvejui, įvertinant skirtingus masės koeficientus ir skirtingą slopintuvų skaičių. Kiekvieno slopintuvo standumas KMS atveju nekinta. Daroma išvada, kad KMS įrengimas – gana efektyvi ir veiksminga priemonė siekiant išvengti vibracijų aukštybiniuose pastatuose.
Highlights
Passive control devices dissipate energy due to the motion of the structure (Housner et al 1997) itself. Matsagar and Jangid (2005) studied the vibration control of adjacent buildings connected by visco-elastic dampers subjected to earthquake ground motion
Tuned Mass Damper (TMD) is a classical engineering device consisting of a mass, a spring and a viscous damper attached to a vibrating main system in order to attenuate any undesirable vibration
The natural frequency of the damper system is tuned to a frequency near to the natural frequency of the main system, the vibration of the main system causes the damper to vibrate in resonance, and as a result, the vibration energy is dissipated through the damping in the tuned mass damper
Summary
Passive control devices dissipate energy due to the motion of the structure (Housner et al 1997) itself. Matsagar and Jangid (2005) studied the vibration control of adjacent buildings connected by visco-elastic dampers subjected to earthquake ground motion. In the first part of the study, TMD is installed at the top of the building and optimum parameters such as tuning frequency ratio, damping ratio for various mass ratios are obtained by numerical procedure. The stiffness of TMD is calculated based on the mass of TMD for the corresponding mass ratio and the angular frequency of damper required for the corresponding frequency ratio Other parameters like frequency band width, damping ratio and central tuning frequency are maintained as those required to minimize the performance criteria J1. Robustness could be guaranteed by using an MTMD
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