EVALUATION OF ARBITRARY INTEGER BASED MULTIPLE TUNED MASS DAMPERS FOR STRUCTURES

2005 ◽  
Vol 05 (03) ◽  
pp. 475-488 ◽  
Author(s):  
CHUNXIANG LI ◽  
JINGYI ZHANG
Keyword(s):  
Natural Frequency ◽  
Arbitrary Integer ◽  
Tuned Mass Dampers ◽  
Structure System ◽  
Optimum Parameters ◽  
Magnification Factors ◽  
Multiple Tuned Mass Dampers

In contrast with the odd number based multiple tuned mass dampers (ON-MTMD) used conventionally, which is targeted at the central natural frequency, the arbitrary integer based multiple tuned mass dampers (AI-MTMD) is proposed for the convenient applications of MTMD by giving up the central natural frequency hypothesis. The total number of the TMD units constituting the AI-MTMD may be selected as an arbitrary integer according to the practical requirements. In terms of the dynamic magnification factors (DMF) of the AI-MTMD structure system, the criterion for evaluating the optimum parameters and effectiveness of the AI-MTMD is selected as the minimization of the minimum values of the maximum DMF of the structure with the AI-MTMD. Employing the maximum DMF of every mass block in the AI-MTMD, the stroke of the AI-MTMD is simultaneously evaluated. The results indicate that both the AI-MTMD and the ON-MTMD can practically render the same performance, thus demonstrating that the former can be more convenient in mitigating structural oscillations with respect to the ON-MTMD stuck to the central natural frequency hypothesis.

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.

MULTIPLE TUNED MASS DAMPERS FOR SEISMIC-EXCITED TALL BUILDING

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Young-Moon Kim ◽  
Ki-Pyo You ◽  
Jang-Youl You ◽  
Sun-Young Paek ◽  
Byung-Hee Nam ◽  
...  
Keyword(s):  
Primary Structure ◽  
Tall Building ◽  
Seismic Excitation ◽  
Tuned Mass Dampers ◽  
Mass System ◽  
Optimum Parameters ◽  
Multiple Tuned Mass Dampers

Multiple tuned mass dampers (MTMD) is used for suppressing seismic excitation of tall building. The performance of MTMD is compared with that of a single tuned mass system (TMD). Optimum parameters of TMD/MTMD for minimizing the variance response of the damped primary structure derived by Krenk, Igusa, and Jangid were used. The optimally designed MTMD system is more effective than that of a single TMD system for reducing seismic excitation of a tall building.

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.

EVALUATION OF THE LEVER-TYPE MULTIPLE TUNED MASS DAMPERS FOR MITIGATING HARMONICALLY FORCED VIBRATION

2005 ◽  
Vol 05 (04) ◽  
pp. 641-664 ◽  
Author(s):  
CHUNXIANG LI ◽  
Q. S. LI
Keyword(s):  
Damping Ratio ◽  
Static Stretching ◽  
Tuned Mass Dampers ◽  
Optimum Frequency ◽  
Long Span Bridges ◽  
Long Span ◽  
Magnification Factors ◽  
Tuning Frequency ◽  
Stiffness And Damping ◽  
Multiple Tuned Mass Dampers

The lever-type multiple tuned mass dampers (LT-MTMD), consisting of several lever-type tuned mass dampers (LT-TMDs) with a uniform distribution of natural frequencies, are proposed for the vibration control of long-span bridges. Using the analytical expressions for the dynamic magnification factors (DMF) of the LT-MTMD structure system, an evaluation, with inclusion of the LT-MTMD stroke, is conducted on the performance of the LT-MTMD with identical stiffness and damping coefficients but unequal masses for mitigating harmonically forced vibrations. The LT-MTMD is found to possess the near-zero optimum average damping ratio regimen when the total number of dampers exceeds a certain value. In comparison, the LT-MTMD without the near-zero optimum average damping ratio and the traditional hanging-type multiple tuned mass dampers (HT-MTMD) without the near-zero optimum average damping ratio can achieve approximately the same optimum frequency spacing (an indicator for robustness), effectiveness, and stroke. Compared with the HT-MTMD, the LT-MTMD needs lesser optimum average damping ratio but significantly higher optimum tuning frequency ratio. Its main advantage is that the static stretching of the spring may be adjusted to meet the practical requirements through the support movement, while maintaining the same robustness, effectiveness, and stroke. Consequently, the LT-MTMD is a better choice for suppressing the vibration of long-span bridges as the static stretching of the spring required is not large.

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.

Oppositely oriented series multiple tuned mass dampers and application on a parallel machine tool

2022 ◽  
Vol 163 ◽  
pp. 108196
Author(s):  
Wenshuo Ma ◽  
Xiaoliang Jin ◽  
Jingjun Yu ◽  
Yiqing Yang ◽  
Xinjun Liu ◽  
...  
Keyword(s):  
Machine Tool ◽  
Parallel Machine ◽  
Tuned Mass Dampers ◽  
Parallel Machine Tool ◽  
Multiple Tuned Mass Dampers

scholarly journals Seismic Assessment of 10-Story Building Using Tuned Mass Damper

2020 ◽  
Author(s):  
Mohammad Aghajani Delavar
Keyword(s):  
Frequency Tuning ◽  
Damping Ratio ◽  
Equations Of Motion ◽  
Tuned Mass Dampers ◽  
Earthquake Excitation ◽  
Optimum Parameters ◽  
Seismic Records ◽  
Structural Responses ◽  
Lateral Displacements ◽  
Shear Building

In this paper, optimum parameters of Tuned Mass Dampers (TMD) are considered to control the responses of 10-story shear building under harmonic loading and 22 set of seismic records of FEMA-P695. The criterion used to obtain the optimum parameters is to select mass ratio, the frequency (tuning) and damping ratio that would result in smallest lateral displacements. State-space equations of motion are presented to compute the structural responses by developing a MATLAB file. A 10-story shear building is presented as a case study to assess the effects of TMDs on the multi-story structures. The results indicate that using TMD can reduce structural responses up to the average 20% under earthquake excitation and up to 90% under harmonic loadings. TMDs are not always effective under any type of ground motion; therefore, being aware of the given location is significant to design TMDs properly.

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.

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