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

2017 ◽  
Vol 62 (1) ◽  
pp. 85-95 ◽  
Author(s):  
Hongyou Cao ◽  
Yun-Lai Zhou ◽  
Zhijun Chen ◽  
Magd Abdel Wahab
Author(s):  
Pan Quan ◽  
Yan Donghuang ◽  
Yi Zhuangpeng

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.


2018 ◽  
Vol 8 (11) ◽  
pp. 2033 ◽  
Author(s):  
Quan Pan ◽  
Donghuang Yan ◽  
Zhuangpeng Yi

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.


2019 ◽  
Vol 9 (15) ◽  
pp. 2948
Author(s):  
Carlos G. Manríquez-Padilla ◽  
Oscar A. Zavala-Pérez ◽  
Gerardo I. Pérez-Soto ◽  
Juvenal Rodríguez-Reséndiz ◽  
Karla A. Camarillo-Gómez

In this paper, a new form-finding analysis methodology for a class 2 tensegrity robot is proposed. The methodology consists of two steps: first, the analysis of the possible geometric configurations of the robot is carried out through the results of the kinematic position analysis; and, second, from the static analysis, the equilibrium positions of the robot are found, which represents its workspace. Both kinematics and static analysis are resolved in a closed-form using basic tools of linear algebra instead of the strategies used in literature. Four numerical experiments are presented using the finite element analysis software ANSYS©. Additionally, a comparison between the results of the form-finding analysis methodology proposed and the ANSYS© results is presented.


2011 ◽  
Vol 243-249 ◽  
pp. 1429-1434 ◽  
Author(s):  
Hooi Min Yee ◽  
Jae Yeol Kim ◽  
Ong Chong Yong

Nonlinear analysis method is one of the earliest methods proposed for form-finding analysis of tensioned fabric structures. However due to some inherent weaknesses, the method has not been fully developed. In this paper, computational strategies for form-finding analysis of tensioned fabric structure using the nonlinear analysis method has been proposed. For the purpose of verification, form-finding analysis on numerical examples of tensioned fabric structures in the form of minimal surfaces Catenoid, Helicoid, Scherk and Enneper have been carried out. Both the obtained shape and pre-stress pattern have been checked with classical solutions for the above minimal surfaces for verification of the effectiveness of the proposed computational strategies.


2016 ◽  
Vol 20 (5) ◽  
pp. 772-783 ◽  
Author(s):  
JinYu Lu ◽  
Xiao Dong ◽  
XiLei Zhao ◽  
XiaoLong Wu ◽  
GanPing Shu

A tensegrity structure is a type of self-balancing tensile structure, which consists of tension cables surrounding compression struts. Based on the geometry and topology of the classic half-octahedron tensegrity, this article presents a form-finding analysis of semi-regular tensegrity units using singular value decomposition of the equilibrium matrix. We propose the design formulas for the unit geometric transformation, obtain its internal self-stress modes and inextensional mechanism modes, and verify its geometric stability. Then, we devise a design method and compute the overall feasible self-stress of a tensegrity torus. A novel cable–strut tensile structural system is generated through combining a tensegrity torus and a Levy-type cable dome. Finally, a physical model is constructed to verify the feasibility of this structural system. This work enriches existing forms of tensegrity structures and contributes to further practical applications of tensegrity systems.


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