Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part I: modal analysis

Caetano, Elsa; Cunha, Álvaro; Taylor, Colin Anthony

doi:10.1002/(sici)1096-9845(200004)29:4<481::aid-eqe918>3.0.co;2-1

Cited by 71 publications

(18 citation statements)

References 9 publications

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“…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%

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: Modelling the Damper-cable Interactionmentioning

confidence: 99%

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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“…As primary consequence, the traditional models, coarsely describing the cables as transversely-motionless tendon elements with Ernst equivalent elastic modulus [3,4], have been progressively abandoned or confined to preliminary technical applications. Encouraged also by the increasing availability of computational resources, a variety of continuous and discrete formulations have been proposed for their replacement [5][6][7][8][9][10][11][12], in the continuous attempt to better account for the local cable dynamics within the high-dimensional numerical models of complex cable structures.…”

Section: Introductionmentioning

confidence: 99%

Non-linear interactions in the flexible multi-body dynamics of cable-supported bridge cross-sections

Lepidi

Gattulli

2016

International Journal of Non-Linear Mechanics

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“…Two types of simplified models: the single cable with moving anchorage (Warnitchai et al, 1995;Lilien and Pinto da Costa, 1994;Pinto da Costa et al, 1996) and the cable-supported cantilever beam (Fujino et al, 1993;Warnitchai et al, 1993;Gattulli et al, 2002;Lepidi, 2003, 2007;Gattulli et al, 2005), have been presented to theoretically investigate the deck-stay interaction. To extend the results of the simplified models, the OECS and MECS models of full cable-stayed bridges based on the finite element method have been widely used to explore such coupled phenomena of real structures (Abdel-Ghaffar and Khalifa, 1991;Gattulli and Lepidi, 2007; 635 Deck-stay interaction Tuladhar et al, 1995;Caetano et al, 2000aCaetano et al, , b, 2008Au et al, 2001). By focussing on the analytical and numerical study of the linear coupling, the localization factor was introduced to reveal the frequency veering phenomenon and to evaluate the mode hybridization level of a cable-stayed bridge (Gattulli and Lepidi, 2007).…”

Section: Introductionmentioning

confidence: 99%

Deck-stay interaction with appropriate initial shapes of cable-stayed bridges

Liu

Lin

Wang

2014

Engineering Computations

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Purpose – The purpose of this paper is to provide a variety of viewpoints to illustrate the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges, which is validated by a symmetrical structure. Design/methodology/approach – Based on the smooth and convergent bridge shapes obtained by the initial shape analysis, the one-element cable system (OECS) and multi-element cable system (MECS) models of the symmetric harp cable-stayed bridge are developed to verify the applicability of the analytical model and numerical formulation from the field observations in the authors’ previous work. For this purpose, the modal analyses of the two finite element models are conducted to calculate the natural frequency and normalized mode shape of the individual modes of the bridge. The modal coupling assessment is also performed to obtain the generalized mass ratios among the structural components for each mode of the bridge. Findings – The findings indicate that the coupled modes are attributed to the frequency loci veering and mode localization when the “pure” deck-tower frequency and the “pure” stay cable frequency approach one another, implying that the mode shapes of such coupled modes are simply different from those of the deck-tower system or stay cables alone. The distribution of the generalized mass ratios between the deck-tower system and stay cables are useful indices for quantitatively assessing the degree of coupling for each mode. For each identical group of stay cables in the MECS model, the local modes with similar natural frequencies and normalized mode shapes consist of the participation of one or more stay cables. These results are demonstrated to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges. Originality/value – It is important to investigate the deck-stay interaction with the appropriate initial shape of a cable-stayed bridge. This is because such initial shape not only reasonably provides the geometric configuration as well as the prestress distribution of the bridge under the weight of the deck-tower system and the pretension forces in the stay cables, but also definitely ensures the satisfaction of the relations for the equilibrium conditions, boundary conditions and architectural design requirements. However, few researchers have studied the deck-stay interaction considering the initial shape effect. The objective of this paper is to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges, which is validated by a symmetrical structure. The modal coupling assessment is also performed for quantitatively assessing the degree of coupling for each mode of the bridge.

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Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part I: modal analysis

Cited by 71 publications

References 9 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

Non-linear interactions in the flexible multi-body dynamics of cable-supported bridge cross-sections

Deck-stay interaction with appropriate initial shapes of cable-stayed bridges

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