Reduced-order multiple tuned mass damper optimization: A bounded real lemma for descriptor systems approach

Jokić, Marko; Stegić, Milenko; Butković, Mirko

doi:10.1016/j.jsv.2011.06.005

Cited by 14 publications

(12 citation statements)

References 34 publications

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“…In a personal computer with an Intel(R) Core(TM) i5-7200U CPU @ 2.50 GHz-2.71 GHz, for every walking, running and jumping excitation simulation case, it only takes about 30 s. From Figure 15, it can be seen that, on the one hand, the model analysis result fits well with the in situ test; on the other hand, the maximum response of the in situ test is 74.5 gal. According to References [38][39][40] and also the requirements of the client, as for the walking excitation, the structural acceleration response limit value is 15 gal and 50 gal for running and jumping excitations. The structural acceleration response of the A2 point under walking and running excitations are shown in Figure 16.…”

Section: The Frequency Identification Results Comparison Between the Mmentioning

confidence: 99%

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Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge

Wang

Shi

2019

Sustainability

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Slender steel footbridges suffer excessive human-induced vibrations due to their low damping nature and their frequency being located in the range of human-induced excitations. Tuned mass dampers (TMDs) are usually used to solve the serviceability problem of footbridges. A multiple TMD (MTMD) system, which consists of several TMDs with different frequencies, has a wide application in the vibration control of footbridges. An MTMD system with well-designed parameters will have a satisfactory effect for vibration control. This study firstly discusses the relationship between the acceleration dynamic amplification factor and important parameters of an MTMD system, i.e., the frequency bandwidth, TMD damping ratio, central frequency ratio, mass ratio and the number of TMDs. Then, the frequency bandwidth and damping ratio optimal formulas are proposed according to the parametric study. At last, an in-service slender footbridge is proposed as a case study. The footbridge is analyzed through a finite element model and an in situ test, and then, an MTMD system is designed based on the proposed optimal design formulas. The vibration control effect of the MTMD system is verified through a series of in situ comparison tests. Results show that under walking, running and jumping excitations with different frequency, the MTMD system always has an excellent vibration control effect. Under a crowd-induced excitation with the resonance frequency, the footbridge with an MTMD system can meet the acceleration limit requirement. It is also found that the analysis result agrees well with the in situ test.

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Section: The Frequency Identification Results Comparison Between the Mmentioning

confidence: 99%

“…Daniel et al [39] proposed the multimode control of footbridges using MTMDs. Jokic et al [40] presented a reduced-order optimization of MTMDs. Roman and Justyna [41] carried a dynamic analysis of structures with MTMDs.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge

Wang

Shi

2019

Sustainability

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“…In an attempt to remedy this limitation of TMD, more than one TMD with different dynamic characteristics have been proposed and investigated by, for example, the references. [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] Furthermore, the semiactive TMD is also seen to be a promising solution to the detuning problem of TMD, because of the unique feature that the semiactive TMD in real time updates the stiffness or damping of TMD based on the sensed data on the actual vibration state of the structure (e.g., Nagarajaiah and Varadarajan, [35] Nagarajaiah and Sonmez, [36] Nagarajaiah, [37] Lin et al, [38] and Weber et al [39] ).…”

Section: Discussionmentioning

confidence: 99%

Performance of tuned tandem mass dampers for structures under the ground acceleration

Yang

2016

Struct. Control Health Monit.

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Summary It is widely acknowledged that the tuned mass damper (TMD) is one of the most effective and simplest passive control devices, but its limited control performance is still a troubling problem. In order to surmount the shortage of TMD, the tuned tandem mass dampers (referred herein to as TTMD) have been proposed for mitigating the undesirable oscillation of structures under the ground acceleration. Based on the formulation of the mode‐generalized system in the specific vibration mode being controlled, the analytical expression is then derived for the dynamic magnification factor of the structure furnished with a TTMD. The optimum criterion can thereby be defined as minimization of the minimum values of the maximum dynamic magnification factor with a set of optimization variables embedded so as to give full play to the control device potential. The optimization implementation of TTMD is carried out by the MATLAB‐based coding and debugging. For the purpose of a mutual authentication to the optimization results, three metaheuristic algorithms, namely, genetic algorithm, particle swarm optimization, and simulated annealing, are concurrently taken into consideration. Results demonstrate that the proposed TTMD endows with the superior stroke performance with respect to TMD.

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“…Aiming to ensure and enhance the performance, namely, the broadband effectiveness of the TMD in seismic scenarios, one of the feasible alternatives is to employ the multiple tuned mass dampers (MTMD) with distributed natural frequencies, which have been investigated by, for example, Jangid, Li, Li and Liu, Casciati and Giuliano, Lin et al, Han and Li, Fu and Johnson, Jokic et al, Daniel et al, Mohebbi et al, Fadel Miguel et al, and Bozer and Özsarıyıldız . Meanwhile, the semiactive tuned mass damper is seen to be a promising solution to the detuning problem of the TMD due to the unique feature that it in real‐time updates the stiffness or damping of the TMD based on the sensed data on the actual vibration state of a structure.…”

Section: Introductionmentioning

confidence: 99%

Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations

Cao

2019

Struct Control Health Monit

123

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Summary By integrating the tuned tandem mass dampers (TTMD) with two inerters, the tuned tandem mass dampers‐inerters (TTMDI) with high effectiveness and wide frequency spacing (i.e., high robustness) have been proposed in this paper. It is expected that the frequency spacing of the TTMDI will be comparable with that of the multiple tuned mass dampers. In order to reveal the fundamental performance of the TTMDI, it is attached to a single degree of freedom (SDOF) structure under random Gaussian white noise base excitations. Closed‐form expressions for calculating the dimensionless displacement variances are thereupon derived for the SDOF structure–TTMDI system. The optimization criterion is determined as the minimization of the dimensionless displacement variances. Employing the gradient‐based optimization technique, the effects of varying the key parameters on the performance of the TTMDI are scrutinized in order to probe into its superiority. Evaluation of the performance of the TTMDI includes that of its effectiveness, strokes, stiffness, damping coefficient, distributions of the inertance coefficients, frequency spacing, and frequency response of the controlled structure. For purposes of further comparison, the optimum results of the TTMD and tuned mass damper‐inerter (TMDI) are also included into consideration. Results clearly demonstrate that the TTMDI outperforms both the TTMD and TMDI because of several advantages, particularly high effectiveness and broadband characteristics. Therefore, the TTMDI is deemed to be a broadband high effectiveness control device. Furthermore, the TTMDI only needs a linking dashpot and is capable of decentralizing a large inertance coefficient, thus showing its simplicity and easier implementation.

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Reduced-order multiple tuned mass damper optimization: A bounded real lemma for descriptor systems approach

Cited by 14 publications

References 34 publications

Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge

Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge

Performance of tuned tandem mass dampers for structures under the ground acceleration

Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations

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