OPTIMUM MULTIPLE TUNED MASS DAMPERS FOR BASE-EXCITED DAMPED MAIN SYSTEM

2004 ◽  
Vol 04 (04) ◽  
pp. 527-542 ◽  
Author(s):  
S. V. BAKRE ◽  
R. S. JANGID
Keyword(s):  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Frequency Bandwidth ◽  
Tuned Mass Dampers ◽  
Explicit Formulas ◽  
Optimum Parameters ◽  
Main System ◽  
Mass Damper ◽  
Tuning Frequency ◽  
Multiple Tuned Mass Dampers

The optimum parameters of multiple tuned mass dampers (MTMD) for suppressing the dynamic response of a base-excited damped main system are investigated by a numerical searching technique. The criterion selected for the optimality is the minimization of the steady state displacement of the main system under harmonic base acceleration. The parameters of the MTMD that are optimized include: the damping ratio, the tuning frequency ratio and the frequency bandwidth. The optimum parameters of the MTMD system and corresponding displacement are obtained for different damping ratios of the main system and different mass ratios of the MTMD system. The explicit formulas for the optimum parameters of the MTMD (i.e. damping ratio, bandwidth and tuning frequency) are then derived using a curve-fitting scheme that can readily be used in engineering applications. The error in the proposed explicit expressions is investigated and found to be negligible. The effectiveness of the optimally designed MTMD system is also compared with that of the optimum single tuned mass damper. It is observed that the optimally designed MTMD system is more effective for vibration control than the single tuned mass damper. Further, the damping in the main system significantly influences the optimum parameters and the effectiveness of the MTMD system.

PERFORMANCE OF DUAL-LAYER MULTIPLE TUNED MASS DAMPERS FOR STRUCTURES UNDER GROUND EXCITATIONS

2006 ◽  
Vol 06 (04) ◽  
pp. 541-557 ◽  
Author(s):  
CHUNXIANG LI
Keyword(s):  
Natural Frequencies ◽  
Vibration Mode ◽  
Frequency Tuning ◽  
Tuned Mass Damper ◽  
Tuned Mass Dampers ◽  
Optimum Parameters ◽  
Generalized System ◽  
Magnification Factors ◽  
Mass Damper ◽  
Multiple Tuned Mass Dampers

The dual-layer multiple tuned mass dampers (DL-MTMD) with a uniform distribution of natural frequencies are proposed, which consist of one large tuned mass damper (L-TMD) and an arbitrary number of small tuned mass dampers (S-TMD). The structure is represented by a generalized system corresponding to the specific vibration mode to be controlled. The criterion for assessing the optimum parameters and effectiveness of the DL-MTMD is based on the minimization of the minimum values of the maximum dynamic magnification factors (DMF) of the structure installed with the DL-MTMD. Also considered is the stroke of the DL-MTMD. The proposed DL-MTMD system is demonstrated to show higher effectiveness and robustness to the change in frequency tuning, in comparison to the multiple tuned mass dampers (MTMD) with equal total mass ratios. It is also demonstrated to be more effective than the dual tuned mass dampers (DTMD) with one large and one small tuned mass damper, but they maintain the same level of robustness to the change in frequency tuning. The DL-MTMD system can be easily manufactured as the optimum value for the linking dashpots between the structure and L-TMD is shown to be zero.

A hybrid approach for parameter optimization of multiple tuned mass dampers in reducing floor vibrations due to occupant walking: Theory and parametric studies

2017 ◽  
Vol 20 (8) ◽  
pp. 1232-1246 ◽  
Author(s):  
Ruotian Xu ◽  
Jun Chen ◽  
Xinqun Zhu
Keyword(s):  
Dynamic Properties ◽  
Damping Ratio ◽  
Hybrid Approach ◽  
Tuned Mass Damper ◽  
Dynamic Responses ◽  
Optimization Approach ◽  
Tuned Mass Dampers ◽  
Mass Damper ◽  
Floor Vibrations ◽  
Multiple Tuned Mass Dampers

This article presents a hybrid approach for determining optimal parameters of multiple tuned mass dampers to reduce the floor vibration due to human walking. The proposed approach consists of two parts. The first one is a partial mode decomposition algorithm to efficiently calculate dynamic responses of the coupled floor–multiple tuned mass damper system subjected to moving walking loads. The second one is an adaptive genetic simulated annealing method for the optimization of multiple tuned mass damper parameters. To establish optimization, certain variables must be considered. These include the mass, natural frequency, and damping ratio of each tuned mass damper in a multiple tuned mass damper system. The objective is to minimize floor responses and remove unreasonable requirements, such as uniform mass distribution and symmetric distribution of the tuned mass damper frequency. The proposed hybrid approach has successfully been applied to optimize the multiple tuned mass damper system to reduce the vibration of a long-span floor with closely spaced modes. By the hybrid approach, an extensive parametric study has been carried out. The results show that different walking load models and uncertainties in the dynamic properties of the floor and each tuned mass damper itself can affect the overall performance of the multiple tuned mass damper system. The proposed hybrid optimization approach is very effective and the resulting multiple tuned mass damper system is robust in reducing floor vibrations under various conditions.

scholarly journals OPTIMUM MULTIPLE TUNED MASS DAMPERS FOR THE WIND EXCITED BENCHMARK BUILDING / OPTIMALŪS MASĖS SLOPINTUVAI VĖJO VEIKIAMUOSE AUKŠTYBINIUOSE PASTATUOSE

2011 ◽  
Vol 17 (4) ◽  
pp. 540-557 ◽  
Author(s):  
Veeranagouda B. Patil ◽  
Radhey Shyam Jangid
Keyword(s):  
Equations Of Motion ◽  
Tuned Mass Damper ◽  
Performance Criteria ◽  
Governing Equations ◽  
Tuned Mass Dampers ◽  
Optimum Parameters ◽  
Mass Damper ◽  
Mass Ratios ◽  
Space Formulation ◽  
Multiple Tuned Mass Dampers

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.

Adaptive multiple tuned mass dampers based on modal parameters for earthquake response reduction in multi-story buildings

2016 ◽  
Vol 20 (9) ◽  
pp. 1375-1389 ◽  
Author(s):  
Mohammad Sabbir Rahman ◽  
Md Kamrul Hassan ◽  
Seongkyu Chang ◽  
Dookie Kim
Keyword(s):  
Tuned Mass Damper ◽  
Primary Objective ◽  
Modal Parameters ◽  
Earthquake Response ◽  
Tuned Mass Dampers ◽  
Mass Damper ◽  
Modal Mass ◽  
Story Building ◽  
Selection Of ◽  
Multiple Tuned Mass Dampers

The primary objective of this research is to find the effectiveness of an adaptive multiple tuned mass damper distributed along with the story height to control the seismic response of the structure. The seismic performance of a 10-story building was investigated, which proved the efficiency of the adaptive multiple tuned mass damper. Structures with single tuned mass damper and multiple tuned mass dampers were also modeled considering the location of the dampers at the top of the structure, whereas adaptive multiple tuned mass damper of the structure was modeled based on the story height. Selection of the location of the adaptive multiple tuned mass damper along with the story height was dominated by the modal parameters. Participation of modal mass directly controlled the number of the modes to be considered. To set the stage, a comparative study on the displacements and modal energies of the structures under the El-Centro, California, and North-Ridge earthquakes was conducted with and without various types of tuned mass dampers. The result shows a significant capability of the proposed adaptive multiple tuned mass damper as an alternative tool to reduce the earthquake responses of multi-story buildings.

scholarly journals Parametric Study of Tuned Mass Dampers for Long Span Transmission Tower-Line System under Wind Loads

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Li Tian ◽  
Yujie Zeng
Keyword(s):  
Frequency Ratio ◽  
Damping Ratio ◽  
Vibration Reduction ◽  
Tuned Mass Damper ◽  
Reduction Ratio ◽  
Transmission Tower ◽  
Tuned Mass Dampers ◽  
Line System ◽  
Long Span ◽  
Mass Damper

A parametric study of tuned mass dampers for a long span transmission tower-line system under wind loads is done in this paper. A three-dimensional finite element model of transmission tower-line system is established by SAP2000 software to numerically verify the effectiveness of the tuned mass damper device. The wind load time history is simulated based on Kaimal spectrum by the harmony superposition method. The equations of motion of a system with tuned mass damper under wind load excitation are proposed, and the schematic of tuned mass damper is introduced. The effects of mass ratio, frequency ratio, damping ratio, the change of the sag of transmission line, and the robustness of TMD are investigated, respectively. Results show that(1)the change of mass ratio has a greater effect on the vibration reduction ratio than those of frequency ratio and damping ratio, and the best vibration reduction ratio of TMD is not the frequency ratio of 1;(2)the sag-span ratio has an insignificant effect on the vibration reduction ratio of transmission tower when the change of sag-span ratio is not large; and(3)the effect of ice should be considered when the robustness study of TMD is carried out.

scholarly journals Control Performance and Robustness of Pounding Tuned Mass Damper for Vibration Reduction in SDOF Structure

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Qichao Xue ◽  
Jingcai Zhang ◽  
Jian He ◽  
Chunwei Zhang
Keyword(s):  
Vibration Suppression ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Dynamic Responses ◽  
Control Performance ◽  
Frequency Bandwidth ◽  
Effective Frequency ◽  
Single Degree Of Freedom ◽  
Optimal Damping ◽  
Mass Damper

This paper investigates the control performance of pounding tuned mass damper (PTMD) in reducing the dynamic responses of SDOF (Single Degree of Freedom) structure. Taking an offshore jacket-type platform as an example, the optimal damping ratio and the gap between mass block and viscoelastic material are presented depending on a parametric study. Control efficiency influenced by material properties and contact geometries for PTMD is analyzed here, as well as robustness of the device. The results of numerical simulations indicated that satisfactory vibration mitigation and robustness can be achieved by an optimally designed PTMD. Comparisons between PTMD and traditional TMD demonstrate the advantages of PTMD, not only in vibration suppression and costs but also in effective frequency bandwidth.

scholarly journals Comparison Study of Vibration Control Effects between Suspended Tuned Mass Damper and Particle Damper

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zheng Lu ◽  
Dianchao Wang ◽  
Peizhen Li
Keyword(s):  
Vibration Control ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Test Model ◽  
Momentum Exchange ◽  
Equivalent Damping ◽  
Exchange Effects ◽  
Mass Damper ◽  
Damping Effects ◽  
Tuning Frequency

The vibration control performance and its influencing factors of a tuned mass damper and a particle damper are examined by a single degree of freedom structure with such devices. The vibration control effects between these two dampers are also investigated. Increasing the mass ratio of the damper can improve the damping effects; under the condition of tuning frequency, the damping effects are remarkable. However, the more the deviation from the tuned frequency, the less controlling effects can be obtained. The damping effect of a particle damper is generally better than that of a tuned mass damper. For this test model, the particle damper can improve primary structure’s equivalent damping ratio 19 times to the original one’s, while the tuned mass damper can be 13 times. The reason lies in the fact that the particle damper can dissipate input energy by tuning mass, collision, impact, and friction between particles and the container and the momentum exchange effects between the secondary damper mass and the primary structure.

Pendulum tuned mass dampers and tuned mass dampers: Analogy and optimum parameters for various combinations of response and excitation parameters

2021 ◽  
pp. 107754632110034
Author(s):  
Payam Soltani ◽  
Arnaud Deraemaeker
Keyword(s):  
Transfer Functions ◽  
Tuned Mass Damper ◽  
Tuned Mass Dampers ◽  
Earthquake Excitation ◽  
Optimum Parameters ◽  
Mass Damper ◽  
Different Types ◽  
Host Structure ◽  
Mass Spring ◽  
Tuning Rules

This study deals with the optimisation of pendulum tuned mass damper parameters for different types of excitations and responses of the host structure to which it is attached. The study considers force excitation and base excitation with different types of output quantities to be minimised on the host structure. It also considers both harmonic motion with H ∞ optimisation of the different transfer functions and random white noise excitation where the variance of the output signal is minimised, leading to H2 optimisation. Although a lot of work has been done on optimisation of tuned mass dampers, there exists in the literature only a few solutions for optimisation of the pendulum tuned mass dampers not covering all possible types of loads and output quantities. The analogy between the mass spring tuned mass damper and pendulum tuned mass damper presented in this study allows to use all the tuning rules developed for tuned mass dampers in the case of pendulum tuned mass dampers. In addition, the existing tuning rules for tuned mass dampers are extended to cases which were not previously solved in the literature for H2 optimisation and validated by comparing with numerical optimisation. Finally, a discussion is presented where the different tuning rules are compared, and the performance degradation is assessed when the wrong tuning rule is used. This is representative of the case where, for example, both wind and earthquake excitation exist on the structure, and the pendulum tuned mass damper is tuned for just wind excitation.

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