New approaches in reliability based optimization of tuned mass damper in presence of uncertain bounded parameters

Mrabet, Elyes; Guedri, Mohamed; Ichchou, Mohamed; Ghanmi, S.

doi:10.1016/j.jsv.2015.06.009

Cited by 17 publications

(8 citation statements)

References 34 publications

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“…In the work conducted here, it's assumed that the possible variations of the value k ij of the stiffness matrix K can be described by the parameter δ k such that

k_{ij} \in ([],, k_{italicij}^{L}, k_{italicij}^{U}) = ([],, {\overset{true¯}{k}}_{ij} - δ_{k} {\overset{true¯}{k}}_{ij}, {\overset{true¯}{k}}_{ij} + δ_{k} {\overset{true¯}{k}}_{ij})

, where

k_{ij}^{L}

and

k_{ij}^{U}

are the lower and upper bounds of the stiffness value whereas

{\overset{true¯}{k}}_{ij}

is the nominal value corresponding to the deterministic context. Furthermore, it's assumed that the eigenfrequencies of the structure are monotonic functions in the interval of variation of the uncertain parameter 48,49 ; this assumption ensures that no turning point exists (in the range of variation of the uncertain parameter) and, consequently, the extreme values of the eigenfrequencies can be obtained using the extreme values of the uncertain parameter 48,49 …”

Section: Optimization Strategies Of the Tmd Parametersmentioning

confidence: 99%

“…Furthermore, it's assumed that the eigenfrequencies of the structure are monotonic functions in the interval of variation of the uncertain parameter 48,49 ; this assumption ensures that no turning point exists (in the range of variation of the uncertain parameter) and, consequently, the extreme values of the eigenfrequencies can be obtained using the extreme values of the uncertain parameter. 48,49 Suppose that a targeted frequency ϖ should be controlled; when the stiffness values k ij are perturbed and turned out to their extreme values (k L ij and k U ij ), the deterministic targeted frequency is obviously perturbed and two new frequencies (ϖ À and ϖ + ), corresponding to k L ij and k U ij , are obtained. The obtained perturbed targeted frequencies can be schematized as shown in Figure 2b where ϖ À correspond to a decreased frequency whereas ϖ + correspond to an increased one.…”

Section: The Robust Multimodal Controlmentioning

confidence: 99%

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Robust multimodal control of a large‐scale tensegrity dome using multiple tuned mass dampers

Mrabet

Ouni

Kahla

2021

Structural Contr & Hlth

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Summary Tensegrity domes are reticulated prestressed structures composed of bars in compression and cables in tension. These structures are flexible lightweight systems with low structural damping, and thus, they are sensitive to vibrations induced by strong wind and earthquakes. The present work deals with the robust multimodal control of a large‐scale tensegrity dome of Geiger's type. Assuming random excitations and linear behavior of the structure around an equilibrium prestressed configuration, the control is achieved in the low‐frequency range using multiple tuned mass dampers (MTMDs). The optimal MTMD parameters, ensuring optimal performances, are obtained using a root mean square displacement (RMSD)‐based approach. The optimization strategy is firstly applied, in a deterministic context where the structural parameters uncertainties are not included, to control the fundamental resonant frequency of the dome structure and then extended to perform multimodal control using multiobjective optimization. In addition, in real‐life situations, it's very hard to describe actual engineering structures in precise model yielding to unavoidable internal and external uncertainties. To deal with these uncertainties, it has been shown that the proposed multimodal control is also able to carry out robust control in presence of structural uncertainties. The proposed optimization strategy applied to the dome structure is compared to other optimization strategies, from the open literature. The obtained results showed the efficiency of the proposed methodology of the passive control in both contexts, that is, the deterministic and the non‐deterministic where uncertainties are considered.

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“…In the work conducted here, it's assumed that the possible variations of the value k ij of the stiffness matrix K can be described by the parameter δ k such that

k_{ij} \in ([],, k_{italicij}^{L}, k_{italicij}^{U}) = ([],, {\overset{true¯}{k}}_{ij} - δ_{k} {\overset{true¯}{k}}_{ij}, {\overset{true¯}{k}}_{ij} + δ_{k} {\overset{true¯}{k}}_{ij})

, where

k_{ij}^{L}

and

k_{ij}^{U}

are the lower and upper bounds of the stiffness value whereas

{\overset{true¯}{k}}_{ij}

Section: Optimization Strategies Of the Tmd Parametersmentioning

confidence: 99%

Section: The Robust Multimodal Controlmentioning

confidence: 99%

Robust multimodal control of a large‐scale tensegrity dome using multiple tuned mass dampers

Mrabet

Ouni

Kahla

2021

Structural Contr & Hlth

Self Cite

View full text Add to dashboard Cite

show abstract

“…The TMD optimal design values for f opt and ζ d,opt are derived by minimizing the dynamic amplification factor regarding the 2-DOF system which are basically extracted from the decoupled target mode and the TMD, using a numerical optimization. Based on these design values, the optimum design stiffness and damping coefficient values are calculated by Equations (12) and (13). Recently, several studies, where a number of time history analyses were conducted by directly considering the seismic load and simplified MDOF dynamic numerical analysis models, and based on this, optimal TMD design values were derived through numerical optimization techniques, have been studied [14,15].…”

Section: Tmd Optimal Design Approach For a Piping Systemmentioning

confidence: 99%

“…The proposed design method was done by replacing a damped MDOF structure with a damped SDOF structure of the target mode, which needs to be mitigated, and then numerically obtaining the optimal TMD design values based on such a SDOF structure. Besides the above studies, other studies have been done by many researchers to find the optimal TMD design values for diverse seismic loadings through various numerical optimization techniques for the purpose of enhancing the seismic performance of structures of interest [8][9][10][11][12][13][14][15][16]. One study [17] presented a TMD design framework that could consider two types of uncertainties such as the stochastic excitation modeling of an earthquake, and the inherent uncertainty of internal parameters of the damping device and the subsoil.…”

Section: Introductionmentioning

confidence: 99%

Enhancement in the Seismic Performance of a Nuclear Piping System using Multiple Tuned Mass Dampers

et al. 2019

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In a nuclear power plant, it is essential to improve the seismic safety of the piping system for the coolant transfer to cool the high temperature caused by the nuclear reaction. Under this background, this study makes two major contributions. The first is that though tuned mass dampers (TMDs) were originally used only to reduce the vibration of piping itself, through this research, it was first proved that it had a positive effect on the improvement of the seismic performance of nuclear piping systems. Additionally, this study proposed a design approach that effectively obtains the optimal design values of TMDs associated with seismic performance. In order to effectively derive the TMD optimum design values, we not only utilized the existing TMD optimum design formula, but also additionally proposed a frequency response analysis-based TMD optimal design method. As a result, it was seen that primary responses of system were significantly reduced under the input seismic load due to the use of TMDs for the piping system. It was also confirmed that the use of the existing TMD formula brought about a similar degree of response reduction effect, while it was possible to get the improved effect when using the proposed method.

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“…Marano et al 37 proposed a fuzzy-based and intervalbased optimal framework that modeled the uncertainties of structures and an environment. Mrabet et al 38,39 presented a performance index and reliability index-based optimal design framework for the uncertainties in a structure system that seemed to have given bounds but not a concrete distribution form. As mentioned above, the fuzzy expression of uncertainty may resort to the precise formulation of the fuzzy numbers of a variable, 40 while the interval model of uncertainties may lead to an overconservative result that loses feasibility for civil engineering.…”

Section: Introductionmentioning

confidence: 99%

Robust design of tuned mass damper with hybrid uncertainty

Tang

Xue

2021

Struct Control Health Monit

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The robust design of a tuned mass damper (TMD) with hybrid aleatory and epistemic uncertainties is proposed in this study. In this method, the aleatory uncertainty involved in the external excitation is represented with the white noise in stochastic theory. The epistemic uncertainties derived from fragmentary statistical data and incomplete preknowledge of structural model and site condition are fully captured with the discrete multi-intervals in evidence theory. In order to overcome the computational bottleneck related to the uncertainty propagation of epistemic uncertainties, a parallel-efficient global optimization (parallel-EGO) method is proposed to approximate the bounds of structural response for joint focal elements. Then, a robustness objective function, with the aim to minimize the worst system response of the primary structure, is presented to search the optimal parameters of TMD. Finally, case studies for a single-degree-of-freedom (SDOF) system and a multi-degreefreedom (MDOF) system validate that the designed TMD not only significantly reduces the worst seismic responses but also improves the robustness of the primary structure.

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New approaches in reliability based optimization of tuned mass damper in presence of uncertain bounded parameters

Cited by 17 publications

References 34 publications

Robust multimodal control of a large‐scale tensegrity dome using multiple tuned mass dampers

Robust multimodal control of a large‐scale tensegrity dome using multiple tuned mass dampers

Enhancement in the Seismic Performance of a Nuclear Piping System using Multiple Tuned Mass Dampers

Robust design of tuned mass damper with hybrid uncertainty

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