Experimental study on in-plane nonlinear vibrations of the cable-stayed bridge

Su, Xiaoyang; Kang, Houjun; Chen, Jiefu; Guo, Tieding; Sun, Ceshi; Zhao, Yanpu

doi:10.1007/s11071-019-05259-0

Cited by 27 publications

(8 citation statements)

References 36 publications

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“…Vibration-based data has been the most widely adopted approach for monitoring long-span cable-stayed bridges, followed by the use of strain data and displacement or deflection data. Vibration data was mostly used for identifying global dynamic behaviour [33,51,52], performing damage detection [53,54], and model updating [46,50], while strain and displacement data were mainly utilised for investigating structural responses due to material fatigue [55], environmental conditions [56,57] and extreme events [58]. While the model-based approach is the focus of this review, it is also worth mentioning data-based approaches, as these have also focused on damage detection as well as the effect of environmental variation on data collection.…”

Section: Model-based Shm Of Cable-stayed Bridgesmentioning

confidence: 99%

Latest Advances in Finite Element Modelling and Model Updating of Cable-Stayed Bridges

et al. 2022

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As important links in the transport infrastructure system, cable-stayed bridges are among the most popular candidates for implementing structural health monitoring (SHM) technology. The primary aim of SHM for these bridges is to ensure their structural integrity and satisfactory performance by monitoring their behaviour over time. Finite element (FE) model updating is a well-recognised approach for SHM purposes, as an accurate model serves as a baseline reference for damage detection and long-term monitoring efforts. One of the many challenges is the development of the initial FE model that can accurately reflect the dynamic characteristics and the overall behaviour of a bridge. Given the size, slenderness, use of long cables, and high levels of structural redundancy, precise initial models of long-span cable-stayed bridges are desirable to better facilitate the model updating process and to improve the accuracy of the final updated model. To date, very few studies offer in-depth discussions on the modelling approaches for cable-stayed bridges and the methods used for model updating. As such, this article presents the latest advances in finite element modelling and model updating methods that have been widely adopted for cable-stayed bridges, through a critical literature review of existing research work. An overview of current SHM research is presented first, followed by a comprehensive review of finite element modelling of cable-stayed bridges, including modelling approaches of the deck girder and cables. A general overview of model updating methods is then given before reviewing the model updating applications to cable-stayed bridges. Finally, an evaluation of all available methods and assessment for future research outlook are presented to summarise the research achievements and current limitations in this field.

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Section: Model-based Shm Of Cable-stayed Bridgesmentioning

confidence: 99%

Latest Advances in Finite Element Modelling and Model Updating of Cable-Stayed Bridges

et al. 2022

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“…Although the same initial values are chosen for the three damping ratios, however, the process through which the response reaches steady state is not identical. In addition, the 'beat vibration' [43] can be observed at the beginning of the oscillation because the frequencies of the cable and beam are close. After the steady state is reached, there exists a phase shift among the time-histories with different damping ratios, which may be the consequence of the TMD participating in coupling vibration.…”

Section: Nonlinear Behaviors Of Case 1: the Cable-beam-tmd Modelmentioning

confidence: 99%

Internal resonance and energy transfer of a cable-stayed beam with a tuned mass damper

Kang

Guo

et al. 2022

Nonlinear Dyn

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This study considers a novel nonlinear system, namely, a cable-stayed beam with a tuned mass damper (cablebeam-TMD model), allowing the description of energy transfer among the beam, cable and TMD. In this system, the vibration of the TMD is involved and one-to-one-to-one internal resonance among the modes of the beam, cable and TMD is investigated when external primary resonance of the beam occurs. Galerkin's method is utilized to discretize the equations of motion of the beam and cable. In this way, a set of ordinary differential equations (ODEs) are derived, which are solved by the method of multiple time scales (MTS). Then the steady state solutions of the system are obtained by suing Newton-Raphson method and continued by pseudo arclength algorithm. The response curves, time histories and phase portraits are provided to explore the effect of the TMD on the nonlinear behaviours of the model. Meanwhile, a partially coupled system, namely, a cable-beam-TMD model ignoring the vibration of the TMD, is also studied. The nonlinear characteristics of the two cases are compared with each other. The results reveal the occurrence of energy transfer among the beam, cable and TMD.

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“…erefore, it has a good guiding significance on how to avoid safety hazards and pay attention to the design of cablestayed bridge. Chen et al [20] and Su et al [21] designed the Xiangshan Harbor Model on a scale of 1 : 250, established the one-element cable system (OECS) and multielement cable system (MECS) finite element models, and compared it with the experimental data under vertical harmonic excitation.…”

Section: Introductionmentioning

confidence: 99%

Modal Interaction-Induced Parametric Resonance of Stayed Cable: A Combined Theoretical and Experimental Investigation

Zhang

Cui

Zhi

et al. 2021

Mathematical Problems in Engineering

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The cable-stayed bridge is widely used due to its strong spanning capacity and navigability. However, flexible cables parametrically resonated by external excitation may result in instability or even damage to the bridge. To prevent such undesirable resonance, this paper discusses an in-plane modal interaction-induced parametric resonance of the stayed cable excited by the bridge deck vibration via nonlinear dynamic analysis. Based on the nonlinear distributed model, two modal governing equations of the cable are established via the Galerkin method. A certain working condition, when the external excitation frequency is close to the second-order natural frequency of the stay cable while nearly twice the first-order natural frequency, is theoretically and experimentally investigated. Specifically, the frequency response equations are obtained by the multiscale method, and the stability of solutions is examined through the Routh Hurwitz criterion. Theoretical and experimental results show that bridge deck vibration can induce not only the primary and superharmonic resonance of the cable but also the principal parametric resonance. Parametric resonance-induced bifurcations are also observed in the system. Particularly, the energy exchange from second-order primary resonance to first-order principal parametric resonance is found, which can induce the parametric resonance with the response amplitude one to three times higher than that of the primary resonance. This paper also validates the superiority of the present modal interaction model over the traditional single-mode model in practical engineering applications.

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Experimental study on in-plane nonlinear vibrations of the cable-stayed bridge

Cited by 27 publications

References 36 publications

Latest Advances in Finite Element Modelling and Model Updating of Cable-Stayed Bridges

Latest Advances in Finite Element Modelling and Model Updating of Cable-Stayed Bridges

Internal resonance and energy transfer of a cable-stayed beam with a tuned mass damper

Modal Interaction-Induced Parametric Resonance of Stayed Cable: A Combined Theoretical and Experimental Investigation

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