Journal ArticleDOI
Nonlinear Analysis of Spatial Cable of Long-Span Cable-Stayed Bridge considering Rigid Connection
Zhiqiang Wu,Jun Wei +1 more
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TLDR
In this paper, a two-node spatial catenary cable element with arbitrary rigid arms is developed to determine the cable sag effect and solve the rigid connection problem at cable ends of a long-span cable-stayed bridge.Abstract:
To determine the cable sag effect and solve the rigid connection problem at cable ends of a long-span cable-stayed bridge, a two-node spatial catenary cable element with arbitrary rigid arms is developed. Using the finite rotation formula of the space vector and a differential method, the incremental relation between displacement and force at both ends of the rigid arm is given. Then, explicit expression of the tangent stiffness matrix of the element with arbitrary rigid arms is derived based on the catenary equations. Two numerical examples are provided to verify the validity of the new element. A long-span cable-stayed bridge application model is established, and the cables are simulated using three methods. The results show that the rigid end effect has influence on displacements, bending moments and rigidity and should not be ignored. The catenary cable element with arbitrary rigid arms can be used to simulate the geometric nonlinear mechanical behavior of the cables and can well solve the rigid connection problem.read more
Citations
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Journal ArticleDOI
Coupled nonlinear and time-dependent analysis for long span cable-stayed bridges
TL;DR: In this article, a new cable element and a novel formation procedure of unbalanced loads for cable-stayed bridges is proposed, which couples the effects of geometric nonlinearity and concrete load balancing.
Journal ArticleDOI
A Novel Shape Finding Method for the Main Cable of Suspension Bridge Using Nonlinear Finite Element Approach
TL;DR: In this article, a shape finding method for the main cable of a suspension bridge using nonlinear finite element approach with Eulerian description is developed before a one-dimensional linear shape function is introduced to solve the cable shape utilizing the Newton iteration method.
Journal ArticleDOI
The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
TL;DR: In this paper, a refined model was proposed to analyze parametric resonance under multicable systems such as cable-stayed bridges, where the shear difference was applied to modify the vibration equations derived from the multi-degree-of-freedom stiffness method.
Journal ArticleDOI
Modelling and analysis of the influence of in-plane vertical modes on the internal resonance of cable-stayed bridges
TL;DR: In this article , an integrated dynamic system consisting of four stay cables and a bridge beam was established, and the dynamic equations under non-linear boundary conditions were derived based on the D'Alembert principle and Galerkin method.
References
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BookDOI
Cable supported bridges concept and design
TL;DR: In this article, the authors discuss the synthesis of cable-supported bridges from concept through design, and present simple analytical methods that supplement the synthesis to quantify the different structural forms, and illustrate the behavior of structural elements.
Journal ArticleDOI
A curved element for the analysis of cable structures
H.B. Jayaraman,W.C. Knudson +1 more
TL;DR: In this paper, a small strain elastic catenary element is presented and its utility is demonstrated through static and dynamic cable problems and its accuracy and efficiency are comparable or better to some of the elements presented in the literature.
Journal ArticleDOI
Some modeling aspects in the nonlinear finite element analysis of cable supported bridges
TL;DR: In this article, a two-node catenary cable element, derived using exact analytical expressions for the elastic catenary, is proposed for the modeling of cables, and the cable element tangent stiffness matrix and internal force vector are evaluated accurately and efficiently using an iterative procedure.
Journal ArticleDOI
Modeling the nonlinear seismic behavior of cable-stayed bridges with passive control bearings
H.M. Ali,Ahmed M. Abdel-Ghaffar +1 more
TL;DR: In this paper, a three-dimensional finite element model is developed for cable-stayed bridges under static and dynamic loadings based on the total Lagrangian formulation, which can account for the large displacements that are usually associated with extended in plane contemporary cable-supported structures.
Journal ArticleDOI
Non-linear shape-finding analysis of a self-anchored suspension bridge
TL;DR: In this paper, a non-linear shape-finding analysis for a self-anchored suspension bridge, the Yongjong Grand Bridge, the main cable of which is three-dimensional in shape, is proposed.
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