Efficient combination of a TCUD method and an initial force method for determining initial shapes of cable-supported bridges

Kim, Ho-Kyung; Kim, Moon-Young

doi:10.1007/s13296-012-2002-1

Cited by 36 publications

(18 citation statements)

References 9 publications

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“…Table 3 summarizes the differences between the converged nodal coordinates of the main cable calculated by the proposed method, TCUD and I.TCUD methods. In Table 3, the third and the fourth columns were obtained from Kim and Kim (2012). The results from these three methods agree well with each other.…”

Section: The Great Belt Suspension Bridgesupporting

confidence: 70%

“…For Great Belt suspension bridge, form-finding analysis has been performed by (Karoumi 1999), Kim and Lee (2001), Kim and Kim (2012). Fig.…”

Section: The Great Belt Suspension Bridgementioning

confidence: 99%

“…However, the final configuration of the main cable is not a parabola rigorously. To overcome these drawbacks, several methods, such as the target configuration under dead load (TCUD) method (Kim and Lee 2001) , the initial force method (Kim et al 2002), the improved TCUD (I.TCUD) method (Kim and Kim 2012), the G.TCUD method (Jung et al 2013) and the coordinate iteration method (Sun et al 2014), have been developed successively. These methods find out the target profile of the bridge by treating the nodal positions of the main cable and/or the unstrained length of the bridge's members, e.g., the main cable, the pylon and the girder as variables and solve them in NFEM iteration formula with additional constraints derived from bridge's geometric requirements under dead load.…”

Section: Introductionmentioning

confidence: 99%

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Form-finding analysis of suspension bridges using an explicit Iterative approach

Cao¹,

Zhou²,

Chen³

et al. 2017

Structural Engineering and Mechanics

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Abstract. This paper presents an explicit analytical iteration method for form-finding analysis of suspension bridges. By extending the conventional analytical form-finding method predicated on the elastic catenary theory, two nonlinear governing equations are derived for calculating the accurate unstrained lengths of the entire cable systems both the main cable and the hangers. And for the gradient-based iteration method, the derivation of explicit calculation for the Jacobian matrix while solving the nonlinear governing equation enhances the computational efficiency. The results from sensitivity analysis show well performance of the explicit Jacobian matrix compared with the traditional finite difference method. According to two numerical examples of long span suspension bridges studied, the proposed method is also compared with those reported approaches or the fundamental criterions in suspension bridge structural analysis, which eventually confirms the accuracy and efficiency of the proposed approach.

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Section: The Great Belt Suspension Bridgesupporting

confidence: 70%

“…For Great Belt suspension bridge, form-finding analysis has been performed by (Karoumi 1999), Kim and Lee (2001), Kim and Kim (2012). Fig.…”

Section: The Great Belt Suspension Bridgementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Form-finding analysis of suspension bridges using an explicit Iterative approach

Cao¹,

Zhou²,

Chen³

et al. 2017

Structural Engineering and Mechanics

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show abstract

“…Therefore, the nonlinear truss elements are selected to assume these nonlinear behaviours of droppers as shown in Figure 2. In Figure 2, F g1 − F g6 represent the internal forces of each node in different directions and can be expressed by the relative positions of two nodes as [22] …”

Section: Truss Elementmentioning

confidence: 99%

“…The explicit expression of cable element was widely used to find the initial shape of the suspension bridge. [21][22][23][24][25] Thai and Kim [26] found that this element showed a good performance in the nonlinear static and dynamic analysis of 3D cable structures. Because of the low bending stiffness and high flexibility of the catenary, cable element is well suitable to describe the complex behaviours of the messenger and contact wires.…”

Section: Introductionmentioning

confidence: 98%

Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements

Song

Liu

Wang

et al. 2015

Vehicle System Dynamics

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2015): Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements, Vehicle System Dynamics: International Journal of Vehicle Mechanics and Mobility,Due to the intrinsic nonlinear characteristics and complex structure of the high-speed catenary system, a modelling method is proposed based on the analytical expressions of nonlinear cable and truss elements. The calculation procedure for solving the initial equilibrium state is proposed based on the Newton-Raphson iteration method. The deformed configuration of the catenary system as well as the initial length of each wire can be calculated. Its accuracy and validity of computing the initial equilibrium state are verified by comparison with the separate model method, absolute nodal coordinate formulation and other methods in the previous literatures. Then, the proposed model is combined with a lumped pantograph model and a dynamic simulation procedure is proposed. The accuracy is guaranteed by the multiple iterative calculations in each time step. The dynamic performance of the proposed model is validated by comparison with EN 50318, the results of the finite element method software and SIEMENS simulation report, respectively. At last, the influence of the catenary design parameters (such as the reserved sag and pre-tension) on the dynamic performance is preliminarily analysed by using the proposed model.

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A Recursive Algorithm for Determining the Profile of the Spatial Self-anchored Suspension Bridges

Zhao

2019

KSCE J Civ Eng

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Efficient combination of a TCUD method and an initial force method for determining initial shapes of cable-supported bridges

Cited by 36 publications

References 9 publications

Form-finding analysis of suspension bridges using an explicit Iterative approach

Form-finding analysis of suspension bridges using an explicit Iterative approach

Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements

A Recursive Algorithm for Determining the Profile of the Spatial Self-anchored Suspension Bridges

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