scholarly journals Distributed Multiple Tuned Mass Dampers for Wind Vibration Response Control of High-Rise Building

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Said Elias ◽  
Vasant Matsagar
Keyword(s):  
Equations Of Motion ◽  
Vibration Response ◽  
Mode Shapes ◽  
Tuned Mass Dampers ◽  
Response Control ◽  
High Rise ◽  
High Rise Building ◽  
Wind Vibration ◽  
Wind Induced Vibration ◽  
Multiple Tuned Mass Dampers

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.

Dynamic Response Control of a Wind-Excited Tall Building with Distributed Multiple Tuned Mass Dampers

2019 ◽  
Vol 19 (06) ◽  
pp. 1950059 ◽  
Author(s):  
Said Elias ◽  
Vasant Matsagar ◽  
T. K. Datta
Keyword(s):  
Dynamic Response ◽  
Equations Of Motion ◽  
Tall Building ◽  
Mode Shapes ◽  
Induced Response ◽  
Tuned Mass Dampers ◽  
Response Control ◽  
Modal Amplitude ◽  
Improved Performance ◽  
Multiple Tuned Mass Dampers

Dynamic response control of a wind-excited tall building installed with distributed multiple tuned mass dampers (d-MTMDs) is presented. The performance of d-MTMDs is compared with those of single tuned mass damper (STMD) and MTMDs installed at top of the building. The modal frequencies and mode shapes of the building are first determined. Based on the mode shapes of the uncontrolled and controlled building, the most suitable locations are identified for the dampers, in that the TMDs are placed where the modal amplitude of the building is the largest/larger in a particular mode, with each tuned to the modal frequency of the first five modes. The coupled differential equations of motion for the system are derived for the cases with the STMD, MTMDs, and d-MTMDs and solved numerically. Extensive parametric studies are conducted to compare the effectiveness of the three control schemes using STMD, MTMDs, and d-MTMDs by examining the variations in wind-induced responses. The mass ratios, damping ratios of the devices, number of TMDs, and robustness of the TMDs are the parameters of investigation. It is concluded that the MTMDs exhibit improved performance when compared with the STMD. The use of d-MTMDs is most efficient among the three schemes because it can effectively control wind-induced response of the building, while reduced space is required in the installation of the TMDs, as they are placed at various floors.

scholarly journals The equations of motion of the main structure with attached dampers described by standard rheological model

2011 ◽  
Vol 9 (2) ◽  
pp. 023-038
Author(s):  
Piotr Wielgos
Keyword(s):  
Mathematical Model ◽  
Rheological Model ◽  
Equations Of Motion ◽  
Tuned Mass Dampers ◽  
Main Structure ◽  
Damping Matrix ◽  
Main System ◽  
Multiple Tuned Mass Dampers

A mathematical model of structure with multiple tuned mass dampers (MTMD) is presented in this paper. An important difficulty, connected with these model, is building a global damping matrix of the system. The own proposals of FEM elements describing additional elements attached to the main system in the form of tuned dampers are presented here. The benefits of the new FEM elements are briefly discussed.

Modal Analysis to Interpret Localization Phenomena in Two Nonlinear Tuned Mass Dampers

2021 ◽  
Author(s):  
Yuji Harata ◽  
Takashi Ikeda
Keyword(s):  
Steady State ◽  
Modal Analysis ◽  
Equations Of Motion ◽  
Harmonic Excitation ◽  
Mode Shapes ◽  
Response Curves ◽  
Tuned Mass Dampers ◽  
Second Mode ◽  
Steady State Solutions ◽  
Modal Coordinates

Abstract This study investigates localization phenomena in two identical nonlinear tuned mass dampers (TMDs) installed on an elastic structure, which is subjected to external, harmonic excitation. In the theoretical analysis, the mode shapes of the system are determined, and the modal equations of motion are derived using modal analysis. These equations are demonstrated as forming an autoparametric system in which external excitation directly acts on the first and third vibration modes, whereas the second vibration mode is indirectly excited due to the nonlinear coupling with the other modes. Van der Pol’s method is employed to obtain the frequency response curves for both physical and modal coordinates. The two TMDs vibrate in phase for the first and third modes, but vibrate out of phase for the second mode. Consequently, when all modes appear, the two TMDs may vibrate at different amplitudes, i.e., localization phenomena may occur because the TMD motions are expressed by the summation of motions for all modes. The numerical calculations clarify that the localization phenomena may occur in the two TMDs when all three modes appear simultaneously. Moreover, there are two steady-state solutions of the harmonic oscillations for the second mode with identical amplitudes; however, their phases differ by π. Hence, which TMD vibrates at higher amplitudes depends on which of these two steady-state solutions for the phase.

Analysis on Seismic Behavior of Irregular High-Rise RC Structure Using Eccentrically Braces

2011 ◽  
Vol 243-249 ◽  
pp. 4001-4004
Author(s):  
Shi Qun Guo
Keyword(s):  
Seismic Response ◽  
Torsional Vibration ◽  
Seismic Behavior ◽  
Seismic Analysis ◽  
Relative Displacement ◽  
Vibration Response ◽  
The Self ◽  
High Rise ◽  
High Rise Building ◽  
Rc Structure

An anti-seismic analysis about two structures (an irregular high-rise building and the previous structure using eccentrically braces) is performed to study their torsional vibration response in earthquake. The self-vibration character and relative displacement between different floors are compared. It is found that adding some eccentrically braces properly can reduce the response of torsional vibration and other seismic response of the structures efficiently. From the example mentioned in the paper, it is verified that this method is a simple and economical one.

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