Response characteristics of local vibrations in stay cables on an existing cable-stayed bridge

Wu, Qiao; Takahashi, Kazuhiro; Okabayashi, Takatoshi; Nakamura, Shozo

doi:10.1016/s0022-460x(02)01088-x

Cited by 39 publications

(27 citation statements)

References 10 publications

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“…The main span of this bridge is 350.0m and the side spans are 160.0m. The towers are A-shaped, and the cables are a two-plane, multiple system [4,7]. The girder in the three dimensional FE model is a single central spine with offset links to the cable anchor points.…”

Section: Global Gust Response Of Studied Bridgementioning

confidence: 99%

“…[4], the analysis of local vibrations in cables takes into consideration the vibration characteristics of an existing steel cable-stayed bridge under sinusoidal excitations by a moving vehicle or an earthquake.…”

Section: Introductionmentioning

confidence: 99%

“…A two-step approach is used to study the local vibrations of the stay cables [4]. The global gust vibration of the bridge is investigated first, followed by an examination of the local vibration of the cables.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of local vibrations in the stay cables of an existing cable-stayed bridge under wind gusts

Wu¹,

Takahashi²,

Chen³

2008

Structural Engineering and Mechanics

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This paper examines local vibrations in the stay cables of a cable-stayed bridge subjected to wind gusts. The wind loads, including the self-excited load and the buffeting load, are converted into time-domain values using the rational function approximation and the multidimensional autoregressive process, respectively. The global motion of the girder, which is generated by the wind gusts, is analyzed using the modal analysis method. The local vibration of stay cables is calculated using a model in which an inclined cable is subjected to time-varying displacement at one support under global vibration. This model can consider both forced vibration and parametric vibration. The response characteristics of the local vibrations in the stay cables under wind gusts are described using an existing cable-stayed bridge.The results of numerical analysis show a significant difference between the combined parametric and forced vibrations and the forced vibration.

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Section: Global Gust Response Of Studied Bridgementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of local vibrations in the stay cables of an existing cable-stayed bridge under wind gusts

Wu¹,

Takahashi²,

Chen³

2008

Structural Engineering and Mechanics

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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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“…However, they are prone to vibration owing to their large flexibility, relatively small mass and very low inherent damping. For example, under the combination of wind and rain, large-amplitude vibration of stay cables may be observed in a number of cablestayed bridges [1][2][3]. Such large-amplitude oscillation may induce undue stresses and fatigue in the cables and their connections with the deck and the towers.…”

mentioning

confidence: 99%

Stochastic optimal control of cable vibration in plane by using axial support motion

Zhao

Zhu

2011

Acta Mech Sin

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A stochastic optimal control strategy for a slightly sagged cable using support motion in the cable axial direction is proposed. The nonlinear equation of cable motion in plane is derived and reduced to the equations for the first two modes of cable vibration by using the Galerkin method. The partially averaged Itô equation for controlled system energy is further derived by applying the stochastic averaging method for quasi-non-integrable Hamiltonian systems. The dynamical programming equation for the controlled system energy with a performance index is established by applying the stochastic dynamical programming principle and a stochastic optimal control law is obtained through solving the dynamical programming equation. A bilinear controller by using the direct method of Lyapunov is introduced. The comparison between the two controllers shows that the proposed stochastic optimal control strategy is superior to the bilinear control strategy in terms of higher control effectiveness and efficiency.

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Response characteristics of local vibrations in stay cables on an existing cable-stayed bridge

Cited by 39 publications

References 10 publications

Analysis of local vibrations in the stay cables of an existing cable-stayed bridge under wind gusts

Analysis of local vibrations in the stay cables of an existing cable-stayed bridge under wind gusts

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

Stochastic optimal control of cable vibration in plane by using axial support motion

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