Tension cables in suspension bridges. A case of form-finding

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

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2017.62.1.085 ◽

2017 ◽

Vol 62 (1) ◽

pp. 85-95 ◽

Cited By ~ 13

Author(s):

Hongyou Cao ◽

Yun-Lai Zhou ◽

Zhijun Chen ◽

Magd Abdel Wahab

Keyword(s):

Suspension Bridges ◽

Iterative Approach ◽

Form Finding ◽

Form Finding Analysis

Download Full-text

Form-finding method for the target configuration under dead load of a new type of spatial self-anchored hybrid cable-stayed suspension bridges

Engineering Structures ◽

10.1016/j.engstruct.2020.111407 ◽

2021 ◽

Vol 227 ◽

pp. 111407

Author(s):

Xiaoming Wang ◽

Huan Wang ◽

Ji Zhang ◽

Yuan Sun ◽

Yunteng Bai ◽

...

Keyword(s):

Suspension Bridges ◽

Dead Load ◽

Form Finding ◽

Target Configuration ◽

New Type ◽

Finding Method

Download Full-text

Optimization and Form-finding of the Heavy Cable Suspending a Deck

Journal of Civil Engineering and Construction ◽

10.32732/jcec.2021.10.3.154 ◽

2021 ◽

Vol 10 (3) ◽

pp. 154-162

Author(s):

J. Liu ◽

C.Y. Wang

Keyword(s):

Design Method ◽

Suspension Bridges ◽

Horizontal Distance ◽

Form Finding ◽

Cable Length ◽

Maximum Tension ◽

Dimensional Parameters ◽

Analytic Design ◽

Analytic Design Method

The heavy spanning cable supporting a uniform deck is important in the design of suspension bridges. The analytic design method is presented in this paper. The problem depends on three non-dimensional parameters: the ratio of cable length to the horizontal spanning distance, the ratio of vertical to horizontal distance, and the ratio of deck density to cable density. Given these parameters, useful tables of maximum tension and sag are determined. There exists an optimum cable length for which the maximum tension is minimized. In addition, it is shown that continuous loads and discrete loads are equivalent if the number of evenly-spaced discrete loads are more than 10.

Download Full-text

Form-Finding Analysis on the Rail Cable Shifting System of the Long Span Suspension Bridges

10.20944/preprints201809.0571.v1 ◽

2018 ◽

Author(s):

Pan Quan ◽

Yan Donghuang ◽

Yi Zhuangpeng

Keyword(s):

Analytical Method ◽

Analytical Form ◽

Global Scale ◽

Test System ◽

Scale Model ◽

Suspension Bridges ◽

Analysis Model ◽

Form Finding ◽

Long Span ◽

Form Finding Analysis

The determination of the non-loading condition of the rail cable shifting (RCS) system, which consists of main cables, hangers and rail cables, is the premise of the girder erection for the long-span suspension bridges. An analytical form-finding analysis model of shifting system is established according to the basic assumptions of flexible cable structures. Herein, the rail cable is discretized into segmental linear cable elements and the main cable is discretized into segmental catenary elements. Moreover, the calculation and analysis equation of each member and their iterative solutions are derived by taking the elastic elongation of the sling into account. In addition, by taking the girder construction of Aizhai suspension bridge as engineering background, a global scale model of the RCS system is designed and manufactured; also the test system and working conditions are established. The comparison between the test results and analytical results shows the presented analytical method is correct and effective. The process is simplified in the analytical method, and the computational results and precision can satisfy the practical engineering requirements. In addition, the proposed method is suitable to apply to the computation analysis of similar structures.

Download Full-text

Form-Finding Analysis of the Rail Cable Shifting System of Long-Span Suspension Bridges

Applied Sciences ◽

10.3390/app8112033 ◽

2018 ◽

Vol 8 (11) ◽

pp. 2033 ◽

Cited By ~ 3

Author(s):

Quan Pan ◽

Donghuang Yan ◽

Zhuangpeng Yi

Keyword(s):

Analytical Method ◽

Analytical Form ◽

Global Scale ◽

Test System ◽

Scale Model ◽

Suspension Bridges ◽

Analysis Model ◽

Form Finding ◽

Long Span ◽

Form Finding Analysis

The determination of the non-loading condition of the rail cable shifting (RCS) system, which consists of the main cables, hangers, and rail cables, is the premise of girder erection for long-span suspension bridges. An analytical form-finding analysis model of the shifting system is established according to the basic assumptions of flexible cable structures. Herein, the rail cable is discretized into segmental linear cable elements and the main cable is discretized into segmental catenary elements. Moreover, the calculation and analysis equations of each member and their iterative solutions are derived by taking the elastic elongation of the sling into account. In addition, by taking the girder construction of the Aizhai suspension bridge as the engineering background, a global scale model of the RCS system is designed and manufactured. The test system and working conditions are also established. The comparison between the test results and analytical results shows the presented analytical method is correct and effective. The process is simplified in the analytical method, and the computational results and precision satisfy practical engineering requirements. In addition, the proposed method is suitable for application in the computation analysis of similar structures.

Download Full-text

Control of Vibrations due to Moving Loads on Suspension Bridges

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2006.11.3.14749 ◽

2006 ◽

Vol 11 (3) ◽

pp. 293-318 ◽

Cited By ~ 4

Author(s):

M. Zribi ◽

N. B. Almutairi ◽

M. Abdel-Rohman

Keyword(s):

Bridge Deck ◽

Suspension Bridge ◽

Lyapunov Theory ◽

Dynamic Responses ◽

Suspension Bridges ◽

Control Force ◽

Moving Loads ◽

Hydraulic Actuator ◽

Long Span ◽

Suspended Cables

The flexibility and low damping of the long span suspended cables in suspension bridges makes them prone to vibrations due to wind and moving loads which affect the dynamic responses of the suspended cables and the bridge deck. This paper investigates the control of vibrations of a suspension bridge due to a vertical load moving on the bridge deck with a constant speed. A vertical cable between the bridge deck and the suspended cables is used to install a hydraulic actuator able to generate an active control force on the bridge deck. Two control schemes are proposed to generate the control force needed to reduce the vertical vibrations in the suspended cables and in the bridge deck. The proposed controllers, whose design is based on Lyapunov theory, guarantee the asymptotic stability of the system. The MATLAB software is used to simulate the performance of the controlled system. The simulation results indicate that the proposed controllers work well. In addition, the performance of the system with the proposed controllers is compared to the performance of the system controlled with a velocity feedback controller.

Download Full-text