Frequency band-wise passive control of linear time invariant structural systems with H∞ optimization

Debnath, Nirmalendu; Deb, Sajal K.; Dutta, Anjan

doi:10.1016/j.jsv.2013.06.018

Cited by 12 publications

(8 citation statements)

References 27 publications

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“…In the state space, the second-order differential equations of motion are reduced to a system of first-order differential equations, which have a closed-form solution. Therefore, the vibration equations in state space are 34 :…”

Section: Mathematical Model For Multi-story Buildings With Tmdi Andmentioning

confidence: 99%

Statistical seismic performance assessment of tuned mass damper inerter

Kaveh

Farzam

Jalali

2020

Struct Control Health Monit

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Summary In this study, the robust optimum design of a recently developed passive control device, i.e., tuned mass damper inerter (TMDI) is investigated to control a 10‐story base‐excited shear building benchmark. The H2 and H∞ of three different objective functions (i.e., minimizing roof displacement, minimizing 7th‐story displacement, and maximizing the TMD stroke) are selected as objective functions for two different single and double inerter configurations. Optimum free vibration parameters of the TMDI (i.e., natural frequency and damping ratios) are calculated using a metaheuristic technique for two different structural damping values. Additionally, the performance of the optimum designed damper and its robustness under 25 far‐fault (FF) ground motions are assessed in the time domain with 12 different performance criteria (i.e., the mean and standard deviation of the maximum and norm of response histories for roof displacement, roof acceleration, and the total kinetic energy of the building). Based on current work, the best performance index for single TMDI for all three objective functions is the roof absolute acceleration, showing a maximum of 45% reduction in the mean maximum roof acceleration for 25 earthquake records. Therefore, the TMDI is most effective when the goal is to reduce the floor accelerations. The double inerter configuration shows approximately the same values for the performance indices for all three objective functions and demonstrates similar reduction for a single TMDI. However, it increases the robustness of the control method by adding redundancy and enhancing the performance for different combinations of inertance and mass ratios.

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Section: Mathematical Model For Multi-story Buildings With Tmdi Andmentioning

confidence: 99%

Statistical seismic performance assessment of tuned mass damper inerter

Kaveh

Farzam

Jalali

2020

Struct Control Health Monit

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“…where c s and c r represent dampings of the swaying and the rocking dashpots, and k s and k r denote the stiffnesses of the corresponding springs. The motion equation can be converted in state-space as [24]:…”

Section: Mathematical Models For High-rise Buildings Considering Ssimentioning

confidence: 99%

“…The output vector can be considered displacement, velocity, and acceleration vector of the structural system. Transfer function matrix is obtained from the Laplace and Fourier transformation of the state-space is given in the frequency domain [24]:…”

Section: Mathematical Models For High-rise Buildings Considering Ssimentioning

confidence: 99%

A Comparative Study of the Optimum Tuned Mass Damper for High-rise Structures Considering Soil-structure Interaction

Kaveh

Ardebili

2021

Period. Polytech. Civil Eng.

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The present paper focuses on the optimum design of tuned mass damper (TMD) as a device for control of the structures. The optimum free vibration parameters such as period and damping ratio depend on the soil condition. For this reason, the seven meta-heuristic algorithms namely colliding bodies optimization (CBO), enhanced colliding bodies optimization (ECBO), water strider algorithm (WSA), dynamic water strider algorithm (DWSA), ray optimization (RO) algorithm, teaching-learning-based optimization (TLBO) algorithm and plasma generation optimization (PGO) are used to find the TMD parameters considering soil-structure interaction (SSI) effects. These optimization methods are applied to a benchmark 40-story structure. For comparison, the obtained results of these algorithms are compared. The capability and robustness of the algorithms are investigated through the benchmark problem. The results are shown that the soil type affects the optimum values of the TMD parameters, especially for the soft soil. To evaluate the performance of the obtained parameters in both the frequency and time domains, time history displacement and acceleration transfer function of the top story of the structure are calculated for the model with and without considering the SSI effects.

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“…The behavior of the structure improves significantly over the band of interest, and the final design is proven to be robust against variations of the DVA properties. A very recent approach [6] is based on the minimization of the worst-case gain related to the frequency band of interest; Genetic Algorithms (GAs) [7] are used to perform the optimization. Also in ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal dynamic vibration absorber design for minimizing the band-averaged input power using the residue theorem

D'Amico

Koo

Claeys

et al. 2015

Journal of Sound and Vibration

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This paper deals with an efficient strategy to improve the vibro-acoustic behavior of a structure over frequency bands. Genetic Algorithms are used to identify the optimal resonance frequency and location of Dynamic Vibration Absorbers (DVAs) which minimize the band-averaged input power into a plate, leading to an indirect reduction of the radiated acoustic power and global vibration. Instead of classic numerical quadrature schemes, the residue theorem is used to evaluate the band-averaged input power. This results into a considerable reduction of computational effort, as it requires only few function evaluations at complex frequencies, regardless of the analyzed bandwidth. The structural response is simulated by using the Wave Based Method (WBM). Besides an increased convergence rate as compared to classical element-based techniques, the WBM is also free in determining the optimal position of the DVAs, not restricting it to nodal grid locations. Moreover, when point connections are taken into account, only a small part of the WB matrices needs to be recomputed at each iteration, resulting in a strong reduction of the computation time. Numerical examples illustrate the benefits and the efficiency of the proposed optimization strategy.

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Frequency band-wise passive control of linear time invariant structural systems with H∞ optimization

Cited by 12 publications

References 27 publications

Statistical seismic performance assessment of tuned mass damper inerter

Statistical seismic performance assessment of tuned mass damper inerter

A Comparative Study of the Optimum Tuned Mass Damper for High-rise Structures Considering Soil-structure Interaction

Optimal dynamic vibration absorber design for minimizing the band-averaged input power using the residue theorem

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