Multiple internal resonances and modal interaction processes of a cable-stayed bridge physical model subjected to an invariant single-excitation

Sun, Ceshi; Zhao, Yaobing; Jian, Peng; Kang, Houjun; Zhao, Yanpu

doi:10.1016/j.engstruct.2018.06.088

Cited by 36 publications

(12 citation statements)

References 34 publications

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“…2 The experimental model and main equipment Fig. 3 The finite element model of the experimental model There is no doubt that the mode shape indicates that 5.86 Hz is just the first-order frequency of the cable A1, which is a coincidence with our previous work [32].…”

Section: Modal Analysissupporting

confidence: 71%

“…The natural frequencies of bridge were identified based on ambient vibration measurement, and the mode shapes were matched with those obtained by a finite element model. Sun et al [32] designed the scale model of a cable-stayed bridge based on the similarity theory and conducted the nonlinear dynamic experiment to investigate the modal interaction process.…”

Section: Introductionmentioning

confidence: 99%

“…The previous investigations are considerably enlightening and there are many other rich and interesting phenomena to be explored in the nonlinear dynamics of cable-stayed bridge. This paper aims to reveal the mechanisms and phenomena of nonlinear coupled vibration more generally and comprehensively, which is an extension of our previous work [32]. As mentioned above, most of the nonlinear phenomena in cablestayed bridge are studied theoretically (and experimentally [28,33]) aiming to a single member or a hybrid structure due to the difficulty of global modeling.…”

Section: Introductionmentioning

confidence: 99%

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

Kang

Chen

et al. 2019

Nonlinear Dyn

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The nonlinear dynamic behaviors of the cable-stayed bridge are considerably complicated and very interesting. In order to explore the nonlinear behaviors of a cable-stayed bridge, a scaled physical model with Xiangshangang Bridge as the prototype is established and the systematical experiments are carried out. Firstly, the physical parameters, especially initial tension forces, of cables are measured by free vibration test and the data is dealt with FFT and filtering technology. The corresponding modal analysis is conducted and the test results are in good agreement with those obtained by OECS model and MECS model, which shows the experimental effectivity. Then, the free vibrations of cables are analyzed and the 1:1 resonance between different cables is revealed. Thereafter, by applying a single excitation to the beam, the nonlinear resonance of the cable-stayed bridge is studied and the rich nonlinear phenomena are observed, such

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Section: Modal Analysissupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Kang

Chen

et al. 2019

Nonlinear Dyn

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“…For investigating the vibration characteristics of arbitrary vibration models, such as cables [15,16], bridges [17,18], iced conductors [19,20], and plates [21][22][23][24], the partial differential vibration equation of those vibration models should be established firstly. As known for us, for the cable-bridge coupling model, the dynamic tension of cables is an important parameter to study the vibration characteristics of the model.…”

Section: Introductionmentioning

confidence: 99%

Influences of Two Calculation Methods about Dynamic Tension on Vibration Characteristics of Cable-Bridge Coupling Model

Min

Liu

Wu³

et al. 2021

Discrete Dynamics in Nature and Society

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For the cable-bridge coupling model, the dynamic tension of cables is an important parameter to study the vibration characteristics of the model. Based on this concept, two calculation methods about dynamic tension of cables were introduced in great detail, and the influences of these two calculation methods on the vibration characteristics of cable-bridge coupling model were systematically investigated. Firstly, the vibration equation of the cable was derived based on the variational principle for Hamiltonian, and the vibration equation of the bridge deck was obtained by Newton’s law. Then, the vibration equation of the cable and bridge deck was transformed into ordinary differential vibration equation by the Galerkin method. In addition, the differences of the coefficients in the ordinary differential vibration equation obtained by these two calculation methods about dynamic tension were compared, and a parameter analysis was listed. Finally, the resonance mode of the cable-bridge coupling model was analyzed by a multiple scales method, and an example analysis was listed. The results of parameter analysis show that there are obvious differences in the linear coefficient and nonlinear coefficient of the ordinary differential vibration equation obtained by these two calculation methods. The results of example analysis show that, for the cable-bridge coupling model with 1 : 1 resonance, the amplitude of the model would not be different because of the two calculation methods about dynamic tension, but the amplitude of the cable would be affected by the calculation method significantly. It can be found that the research conclusions here can be helpful to the perfection of theoretical modeling and has certain guiding value for practical engineering.

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“…Rega et al identified and explored the modes of free vibration of stayed cables both in physical and numerical tests [14]. Subsequently, Sun et al also conducted a series of nonlinear dynamic tests of stayed cables and found that the multiple internal resonances of cables might cause large-amplitude vibrations of the entire bridge [15]. In addition, Rega et al [1], Nayfeh et al [2], and Benedettini et al [3] adopted the multiple scaled method to analyze the nonlinear vibration of hangers in suspension bridges qualitatively and quantitatively.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Parametric Resonance Behavior of Cables in a Long Cantilever Bridge for Sightseeing Platform

Guo

Pengfei

2021

Shock and Vibration

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In order to study the parametric vibration of stayed cables in a long cantilever bridge for a sightseeing platform, nonlinear parametric vibration equations of the stayed cables excited by the vibration of bridge deck and tower are derived. Then, a second-order differential equation is transformed into a first-order ordinary differential equation, which is solved by using the Runge–Kutta method. A finite element model of cables was also built to verify the solution of the Runge–Kutta method. Then, the inherent dynamic characteristics of the full structure and all the cables with different lengths were analyzed to discuss the potential risk of parametric vibration. The longest and shortest cables were taken as examples to explore their nonlinear vibration performance. The effects of damping ratio, excitation position, and amplitude on cables’ nonlinear vibration performance were investigated. The results show that it will be more efficient and convenient to use the Runge–Kutta method to calculate cables’ nonlinear vibration amplitude without loss of accuracy. In addition, short cables have more resonance zones compared to long cables. Especially, with the cable length shortening, the dominant frequencies of the dynamic response and its amplitude increase significantly, and the number of resonance zones also increases. However, excessive excitation amplitude will also cause multiple resonance zones in the cable. The parametric analysis results show that it is effective and efficient to mitigate the nonlinear vibration by adjusting the frequency relationship between the bridge and the cables, rather than by increasing the damping ratio.

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Multiple internal resonances and modal interaction processes of a cable-stayed bridge physical model subjected to an invariant single-excitation

Cited by 36 publications

References 34 publications

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

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

Influences of Two Calculation Methods about Dynamic Tension on Vibration Characteristics of Cable-Bridge Coupling Model

Nonlinear Parametric Resonance Behavior of Cables in a Long Cantilever Bridge for Sightseeing Platform

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