Multi-objective optimal design of tuned mass dampers

Lavan, Oren

doi:10.1002/stc.2008

Cited by 39 publications

(24 citation statements)

References 57 publications

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“…The classic dynamic equilibrium equation shown in equation 3is re-written in modal coordinates rather than classic cartesian ones, using matrix transformation. Further details on this procedure may be found in [11]. The resulting problem is then separated into independent problems for each one of the 76 vibration modes, and solved for all 20 wind load time histories by the linear Newmark's Method [37].…”

Section: Wind Scenariomentioning

confidence: 99%

“…TMD optimization in SDOF systems was investigated using distinct methods such as numeric searching techniques [6], [7] and evolutionary algorithms [8]. Other researchers studied optimization of TMDs connected to multiple-degree-of-freedom (MDOF) systems employing evolutionary algorithms such as Genetic Algorithm (GA) [9], Differential Evolution (DE) [10], and gradient-based techniques [11].…”

Section: Introductionmentioning

confidence: 99%

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Life-Cycle Cost Optimization of Tuned Mass Dampers for Tall Buildings Subjected to Winds and Earthquakes

Kleingesinds¹,

Lavan²,

Venanzi³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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In the last decades, much research has been dedicated to developing methodologies to optimize dampers for wind or seismic control. However, little investigation has been performed to deal with multi-hazard demands. Nevertheless, previous works have shown that from a life-cycle loss perspective winds and earthquakes may be equally relevant to many tall buildings. Thus, methodologies for multi-hazard loss optimization of tall buildings with dampers are of much need. To join these hazards in a sole optimization procedure, we adopt the life-cycle cost (LCC) resultant from wind and earthquakes as a unified design criterion. This work presents a multihazard optimization methodology of Tuned Mass Dampers (TMDs) in tall buildings. The methodology is applied to a 76-story building, employing the LCC as objective function. A Multiple TMDs system composed of four TMDs is considered on the top floor, assigned to dampen the first four modes. The TMDs mass, damping ratio and frequency are taken as design variables, and different constraints are imposed on the total added mass and individual TMDs frequencies. The linear dynamic analysis results are used to calculate the LCC through a platform based on the PEER equation. An efficient genetic algorithm combined with a pattern search algorithm permits to achieve the optimal solutions. A purely intuitive MTMDs design based on modal analysis would suggest largest masses should be assigned to the dominant modes. However, the results reveal this rationale could be misleading, demonstrating the need for optimization techniques to obtain adequate dampers designs. This innovative design procedure can improve long-time performance and deliver an optimal design from economic standpoint.

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Section: Wind Scenariomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Life-Cycle Cost Optimization of Tuned Mass Dampers for Tall Buildings Subjected to Winds and Earthquakes

Kleingesinds¹,

Lavan²,

Venanzi³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…Considering the LCC of low‐rise office buildings in highly seismic regions, Taflanidis and Beck show that the relative contribution of acceleration‐sensitive contents to the overall lifetime damage cost is practically negligible. Optimizing a single TMD on a 10‐storey linear building structure, Lavan confirms that displacements and accelerations are substantially not competing objectives in TMD optimal design. Not specifically accounting for acceleration‐related damage, the LCC formulation herein adopted may lead to a certain underestimation of damage cost especially in the case of tall buildings, for which the relative significance of accelerations with respect to interstorey drift ratios increases.…”

Section: Lifecylce Cost‐optimal Seismic Design Of Tuned Mass Dampers mentioning

confidence: 99%

Lifecycle cost optimization of tuned mass dampers for the seismic improvement of inelastic structures

Matta

2017

Earthq Engng Struct Dyn

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Summary The seismic performance of tuned mass dampers (TMDs) on structures undergoing inelastic deformations may largely depend on the ground motion intensity. By estimating the impact of each seismic intensity on the overall cost of future seismic damages, lifecycle cost (LCC) proves a rational metric for evaluating the benefits of TMDs on inelastic structures. However, no incorporation of this metric into an optimization framework is reported yet. This paper presents a methodology for the LCC‐optimal design of TMDs on inelastic structures, which minimizes the total seismic LCC of the combined building‐TMD system. Its distinctive features are the assumption of a mass‐proportional TMD cost model, the adoption of an iterative suboptimization procedure, and the initialization of the TMD frequency and damping ratios according to a conventional linear TMD design technique. The methodology is applied to the seismic improvement of the SAC‐LA benchmark buildings, taken as representative of standard steel moment‐resisting frame office buildings in LA, California. Results show that, despite their limited performance at the highest intensity levels, LCC‐optimal TMDs considerably reduce the total LCC, to an extent that depends on both the building vulnerability and the TMD unit cost. They systematically present large mass ratios (around 10%) and frequency and damping ratios close to their respective linearly designed optima. Simulations reveal the effectiveness of the proposed design methodology and the importance of adopting a nonlinear model to correctly evaluate the cost‐effectiveness of TMDs on ordinary structures in highly seismic areas.

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“…Meanwhile, researchers also extended it into the community of earthquake engineering in the past years. Some optimum TMD parameters and optimization algorithms have been derived under various types of ground excitations, part of which considered the uncertainties resulted from the changing environment . However, the seismic response mitigation of conventional TMDs had not been effective because the TMD had little effect on the maximum responses under earthquakes .…”

Section: Introductionmentioning

confidence: 99%

“…Some optimum TMD parameters and optimization algorithms have been derived under various types of ground excitations, [10][11][12] part of which considered the uncertainties resulted from the changing environment. [13][14][15][16][17][18] However, the seismic response mitigation of conventional TMDs had not been effective because the TMD had little effect on the maximum responses under earthquakes. 19 Additionally, a considerable mass of TMD was required to achieve a sizeable reduction in the response, especially for structures with large damping ratios, 6 which in turn compromised the applicability of TMDs.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation

Wang

Liu

et al. 2020

Struct Control Health Monit

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Summary This paper proposes a novel passive mass damper, namely, asymmetric nonlinear energy sink (Asym NES), which is characterized by integrating linear and nonlinear restoring forces to mitigate the unwanted responses of building structures. The Asym NES, configured based on a cubic NES, consists of an auxiliary mass connected to the primary structure through a linear and nonlinear springs. These two springs are statically balanced at a deformed position, producing an asymmetric restoring force in the Asym NES. The study commences with a detailed working principle of the Asym NES, and the equations of motion of an Asym NES‐attached system are derived. Subsequently, experimental studies on the Asym NES designed for a small‐scale three‐story steel frame are conducted; the natural frequencies of which can be altered by changing the number of columns per story. Moreover, the performance of the Asym NES is compared with a tuned mass damper (TMD) and a cubic NES under impulsive excitations. Test results demonstrate the effectiveness of the Asym NES as well as its robustness against changes in the structural frequency. Following the experimental studies, the validated Asym NES model is further applied in the numerical investigation on a six‐story benchmark building to highlight its effectiveness and robustness in potential practical applications. Besides the impulsive excitations, an ensemble of 106 seismic ground motions with wide‐ranged energies is applied to the structures with original and decreased frequencies. Numerical results show that the proposed Asym NES is as effective as the in‐tune TMD in response mitigation under seismic excitations and exhibits strong robustness against changes in both the energy level and the structural frequency. The ingenious design and excellent efficiency of the Asym NES can offer a promising type of high‐performance device for structural control under extreme events.

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Multi-objective optimal design of tuned mass dampers

Cited by 39 publications

References 57 publications

Life-Cycle Cost Optimization of Tuned Mass Dampers for Tall Buildings Subjected to Winds and Earthquakes

Life-Cycle Cost Optimization of Tuned Mass Dampers for Tall Buildings Subjected to Winds and Earthquakes

Lifecycle cost optimization of tuned mass dampers for the seismic improvement of inelastic structures

Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation

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