Motion-Based Design of Passive Damping Devices to Mitigate Wind-Induced Vibrations in Stay Cables

Naranjo-Pérez, Javier; Jiménez-Manfredi, Javier; Jiménez‐Alonso, Javier Fernando; Sáez, Andrés

doi:10.3390/vibration1020019

Cited by 8 publications

(8 citation statements)

References 32 publications

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“…In order to overcome this limitation, a motion-based design method [29] under uncertainty conditions is formulated, implemented and further validated in this paper. In fact, this proposal generalizes the formulation of a well-known design method, the so-called motion-based design method under deterministic conditions [30], to the abovementioned uncertainty conditions. The proposed motion-based design method under uncertainty conditions transforms the design problem into a constraint multi-objective optimization problem.…”

Section: Introductionmentioning

confidence: 95%

“…Thus, this computational tool allows the optimum size, shape or topology of the structure to be found which meet the design requirements established by the designer/manufacturer/owner. Among the different structural optimization methods, the performance-based design method has been widely employed to design passive damping devices for civil engineering structures [23,30]. When the design requirements are defined in terms of the vibration serviceability limit state of the structure, the performance-based design method is denominated the motion-based design method [29].…”

Section: Motion-based Design Of Structures Under Deterministic Conditmentioning

confidence: 99%

“…The analysis of the dynamic behavior of stay cables has been studied extensively over the last four decades. Thus, analytical [40], numerical [30], and experimental studies [41] have been performed for this purpose. Among the different proposals, a numerical method, the FE method was considered herein to develop a damper-cable interaction model.…”

Section: Modelling the Damper-cable Interactionmentioning

confidence: 99%

“…Among the different proposals, a numerical method, the FE method was considered herein to develop a damper-cable interaction model. This method presents three main advantages when it is implemented for this particular problem [30]: (i) its easy implementation for practical civil engineering applications; (ii) it allows a direct interaction of element with different constitutive laws (cable and dampers); and (iii) it simplifies the simulation of some effects such us the nonlinear behavior of the cable [40], the sag effect [42], and the influence of the external dampers on the modal properties of the cables (locking effect) [43].…”

Section: Modelling the Damper-cable Interactionmentioning

confidence: 99%

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Motion-Based Design of Passive Damping Systems to Reduce Wind-Induced Vibrations of Stay Cables under Uncertainty Conditions

et al. 2020

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Stay cables exhibit both great slenderness and low damping, which make them sensitive to resonant phenomena induced by the dynamic character of external actions. Furthermore, for these same reasons, their modal properties may vary significantly while in service due to the modification of the operational and environmental conditions. In order to cope with these two limitations, passive damping devices are usually installed at these structural systems. Robust design methods are thus mandatory in order to ensure the adequate behavior of the stay cables without compromising the budget of the passive control systems. To this end, a motion-based design method under uncertainty conditions is proposed and further implemented in this paper. In particular, the proposal focuses on the robust design of different passive damping devices when they are employed to control the response of stay cables under wind-induced vibrations. The proposed method transforms the design problem into a constrained multi-objective optimization problem, where the objective function is defined in terms of the characteristic parameters of the passive damping device, together with an inequality constraint aimed at guaranteeing the serviceability limit state of the structure. The performance of the proposed method was validated via its application to a benchmark structure with vibratory problems: The longest stay cable of the Alamillo bridge (Seville, Spain) was adopted for this purpose. Three different passive damping devices are considered herein, namely: (i) viscous; (ii) elastomeric; and (iii) frictions dampers. The results obtained by the proposed approach are analyzed and further compared with those provided by a conventional method adopted in the Standards. This comparison illustrates how the newly proposed method allows reduction of the cost of the three types of passive damping devices considered in this study without compromising the performance of the structure.The vibratory problems observed in cables of cable-stayed bridges may be classified in terms of the structural elements excited during the vibration phenomenon into the following [2]: (i) localglobal vibratory problems, in which the vibrations involve the excitation of both the cables and the deck of the structure [4]; and (ii) local vibratory problems, in which only the cables of the structure are excited laterally [5]. These vibratory problems may be caused by either of the following: (i) direct excitation sources, such as road traffic, wind [6] or earthquake action [7], or (ii) indirect excitation sources, such as linear internal resonances, parametric excitations or dynamic bifurcations.In this paper, we focus on the case of wind-induced vibrations of stay cables, as this is the source problem of many vibratory issues reported in the literature [2]. As wind-induced vibrations can cause different structural problems on stay cables (like fatigue or comfort problems), two types of measures are normally adopted to mitigate the cable vibrations [8], consisting of either of the follow...

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Section: Introductionmentioning

confidence: 95%

Section: Motion-based Design Of Structures Under Deterministic Conditmentioning

confidence: 99%

Section: Modelling the Damper-cable Interactionmentioning

confidence: 99%

Section: Modelling the Damper-cable Interactionmentioning

confidence: 99%

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Motion-Based Design of Passive Damping Systems to Reduce Wind-Induced Vibrations of Stay Cables under Uncertainty Conditions

et al. 2020

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“…Vibrating [1] standard structural continuous elements (plates, shells, and beams) are the building blocks in many civil structures and machines even at small-scale levels [2][3][4][5][6][7]. The micro/nanoscale version of these structural elements are the building blocks of micro/nanomachines [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams

2019

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A nonlinear vibration analysis is conducted on the mechanical behavior of axially functionally graded (AFG) microscale Timoshenko nonuniform beams. Asymmetry is due to both the nonuniform material mixture and geometric nonuniformity. Using the Timoshenko beam theory, the continuous models for translation/rotation are developed via an energy balance. Size-dependence is incorporated via the modified couple stress theory and the rotation via the Timoshenko beam theory. Galerkin’s method of discretization is applied and numerical simulations are conducted for a size-dependent vibration of the AFG microscale beam. Effects of material gradient index and axial change in the cross-sectional area on the force and frequency diagrams are investigated.

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Motion‐based design of vibrating civil engineering structures under uncertainty conditions

Jiménez‐Alonso

Naranjo-Pérez

Díaz

et al. 2020

Structural Concrete

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Improvements in the strength of construction materials, together with the esthetic requirements demanded by current societies, have led to a continuous increase in the slenderness of modern civil engineering structures. This fact results into lightweight designs that, unfortunately, must cope with two key problems: (a) slender structures are not only prone to vibrate under external actions; but (b) their dynamic behavior becomes also more sensitive to the intrinsic variability of the operational and environmental service conditions. These two circumstances must be faced from the early conceptual design phase of the structure. With the aim to assist in this process, a motion‐based design method, under a stochastic approach, is proposed, implemented and validated in this paper. In our proposal, the conceptual design problem is transformed into the combination of two coupled subproblems, involving an optimization subproblem plus a reliability analysis subproblem. The performance of the proposed method is illustrated via its application to a numerical case study involving the optimal design of two tuned mass dampers, installed to control the pedestrian‐induced vibrations in a cable‐stayed footbridge with prestressed concrete deck.

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Motion-Based Design of Passive Damping Devices to Mitigate Wind-Induced Vibrations in Stay Cables

Cited by 8 publications

References 32 publications

Motion-Based Design of Passive Damping Systems to Reduce Wind-Induced Vibrations of Stay Cables under Uncertainty Conditions

Motion-Based Design of Passive Damping Systems to Reduce Wind-Induced Vibrations of Stay Cables under Uncertainty Conditions

Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams

Motion‐based design of vibrating civil engineering structures under uncertainty conditions

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