scholarly journals An Improved Analytical Algorithm on Main Cable System of Suspension Bridge

2018 ◽  
Vol 8 (8) ◽  
pp. 1358 ◽  
Author(s):  
Chuanxi Li ◽  
Jun He ◽  
Zhe Zhang ◽  
Yang Liu ◽  
Hongjun Ke ◽  
...  
Keyword(s):  
Search Algorithm ◽  
Suspension Bridge ◽  
Internal Force ◽  
Element Formulation ◽  
Cable System ◽  
Tangent Stiffness Matrix ◽  
Main Cable ◽  
Penalty Factor ◽  
Analytical Algorithm ◽  
Internal Force Vector

This paper develops an improved analytical algorithm on the main cable system of suspension bridge. A catenary cable element is presented for the nonlinear analysis on main cable system that is subjected to static loadings. The tangent stiffness matrix and internal force vector of the element are derived explicitly based on the exact analytical expressions of elastic catenary. Self-weight of the cables can be directly considered without any approximations. The effect of pre-tension of cable is also included in the element formulation. A search algorithm with the penalty factor is introduced to identify the initial components for convergence with high precision and fast speed. Numerical examples are presented and discussed to illustrate the accuracy and efficiency of the proposed analytical algorithm.

A Iterative Computation Method for Main Cable Shape Calculation of Self-Anchored Suspension Bridge

2013 ◽  
Vol 477-478 ◽  
pp. 666-670
Author(s):  
Xu Ming Song
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Calculation ◽  
Suspension Bridge ◽  
Internal Force ◽  
Computation Method ◽  
The Real ◽  
Iterative Computation ◽  
Calculating Method ◽  
Main Cable

Both finite element method and cable numerical calculation have their limitations in calculation of main cable shape for self-anchored suspension bridge. This paper combined the characteristics of the two methods, and worked out the cable shape and internal force of self-anchored suspension bridge though iterative computation. Sanchaji Bridge, a self-anchored suspension bridge in Changsha city, its main cable shape was calculated by this method. Calculating results show that the real shape of main cable fit the results well and we should carefully calculate the length of girder compression which influences the unstressed length of main cable and the position of hangers. The calculating method adopted in Sanchaji Bridge offered a reference for design and construction for similar bridges.

Study on Construction Process of Suspension Bridge Based on a Co-Rotational Framework

2012 ◽  
Vol 238 ◽  
pp. 709-713
Author(s):  
Bing Jian Wang ◽  
Jian Yong Song ◽  
Jian Ming Lu
Keyword(s):  
Search Algorithm ◽  
Nonlinear Behavior ◽  
Suspension Bridge ◽  
Suspension Bridges ◽  
Element Formulation ◽  
Structural System ◽  
Convergence Criteria ◽  
Modified Method ◽  
Energy Convergence ◽  
Line Search Algorithm

Based on a co-rational (CR) framework, a 2-noded element formulation of 3D truss was presented, which was used for accurately modeling of suspension bridges with large displacements and rotations. The CR framework could consider the out-plane stiffness by the geometric stiffness, which was applicable to the analysis of 3D cable bridges. Using the co-rational truss united with the energy convergence criteria and the Newton with Line Search Algorithm, the nonlinear behavior of 3D cable structural system was simulated conveniently and accurately. Therefore, the traditional truss elements based on elastic modulus modified method and complex catenary elements were avoided. In order to simulate the hanging of girder and the structural system changing during the construction, the elements’ killing and activating methods were realized by the modulus modified methods.

Fatigue Testing of Cables – Issues and Lessons Learned

2021 ◽  
Author(s):  
Jeremy Lahaye ◽  
Dan Fitzwilliam
Keyword(s):  
Fatigue Testing ◽  
Suspension Bridge ◽  
Lessons Learned ◽  
Bridge Design ◽  
Cable System ◽  
Pedestrian Bridge ◽  
Main Cable ◽  
Pedestrian Bridges ◽  
Cable Systems ◽  
Scioto River

<p>Pedestrian bridge design is becoming more demanding and challenging as architects create new ways to experience bridges. This is particularly evident in the design of cable supported pedestrian structures.</p><p>Innovative and creative concepts require a higher level of fatigue testing to verify cable systems meet design demands and reach service design life.</p><p>The Scioto River Pedestrian Bridge is one such example of innovative pedestrian bridge design. The structure is a suspension bridge with a non-redundant main cable system. Cable supported pedestrian bridges have demonstrated a proclivity for fatigue issues in the past. To address this concern, refined fatigue testing requirements were developed which were intended to verify that the cable system and manufacturing quality control were fit for the unique structure demands. The lessons learned through the process of design, testing, and construction of the cables on this project are useful tools for teams seeking to successfully deliver future cable supported bridge projects.</p>

scholarly journals Uma abordagem analítica para detecção de pontos limites e de bifurcação

2016 ◽  
Vol 12 (3) ◽  
Author(s):  
William Taylor Matias Silva ◽  
Maria Paz Duque Gutierrez ◽  
Wellington Andrade Da Silva
Keyword(s):  
Axial Stress ◽  
Strain Tensor ◽  
Uniaxial Stress ◽  
Internal Force ◽  
Structural Systems ◽  
Equilibrium Path ◽  
Tangent Stiffness Matrix ◽  
Physical Conditions ◽  
Internal Force Vector ◽  
Lagrange Strain

RESUMO: Neste trabalho descreve-se analiticamente de maneira detalhada a detecção e a classificação de pontos críticos na trajetória primária de equilíbrio de sistemas estruturais. Utiliza-se a Formulação Lagrangiana Total para descrever a cinemática de um elemento de barra biarticulado 2D. Através desta formulação obtém-se o vetor de forças internas e a matriz de rigidez tangente que levam em conta os efeitos da não linearidade geométrica. Assume-se um modelo constitutivo linear elástico para o estado uniaxial de tensão-deformação, usando a deformação de Green-Lagrange e a tensão axial do segundo tensor de Piola-Kirchhoff que são energeticamente conjugados. Como estudo de caso apresenta-se uma treliça plana hiperestática composta com 3 elementos biarticulados 2D e com dois graus de liberdade. Por fim, determinam-se as condições geométricas e físicas para a coalescência entre os pontos limites e de bifurcação. A principal contribuição deste trabalho é demonstrar a necessidade de compreender melhor os fenômenos não lineares para projetar sistemas estruturais mais seguros. ABSTRACT: Using an analytical this paper describes in detail the detection and classification of critical points in the primary equilibrium path of structural systems. The Total Lagrangian formulation is employed to describe the kinematics of a 2D bar element. With this formulation, the internal force vector and the tangent stiffness matrix including the geometric nonlinearity effects are obtained. An elastic linear constitutive model is assumed for the uniaxial stress-strain state. Such model uses the Green-Lagrange strain tensor and the second Piola-Kirchhoff axial stress tensor which are energetically conjugate tensors. As a study case, the article presents a statically inderminate plane truss discretized with three 2D bar elements. Finally, the geometrical and physical conditions for the coalescence between limit and bifurcation points are determined. The main contribution of this work is to demonstrate the need to better understanding the non linear phenomena. Such understanding is necessary for designing safer structural systems.

scholarly journals Beam element for large displacement analysis of elasto-plastic frames

2004 ◽  
Vol 26 (1) ◽  
pp. 39-54
Author(s):  
Nguyen Dinh Kien ◽  
Do Quoc Quang
Keyword(s):  
Virtual Work ◽  
Internal Force ◽  
Beam Element ◽  
Large Displacement ◽  
Isotropic Hardening ◽  
Arc Length ◽  
Tangent Stiffness Matrix ◽  
Strain Relationship ◽  
Internal Force Vector ◽  
Finite Element Formulations

The present paper develops a non-linear beam element for analysis of elastoplastic frames under large displacements. The finite element formulations are derived by using the co-rotational approach and expression of the virtual work. The Gauss quadrature is employed for numerically computing the element tangent stiffness matrix and internal force vector. A bilinear stress-strain relationship with isotropic hardening is adopted to update the stress. The arc-length technique based on the Newton-Raphson iterative method is employed to compute the equilibrium paths. A number of numerical examples is employed to assess the performance of the developed element. The effects of plastic action on the large displacement behavior of the structures as well as the expansion of plastic zones in the loading process are discussed.

Control Method on Main Girder Configuration of Self-Anchored Suspension Bridges Based on Long Segment Hoisting Method

2011 ◽  
Vol 243-249 ◽  
pp. 1540-1548
Author(s):  
Yu Zhao ◽  
Jia Le Wei ◽  
Shuan Hai He
Keyword(s):  
Control Method ◽  
Suspension Bridge ◽  
Internal Force ◽  
Suspension Bridges ◽  
Construction Technique ◽  
Method Of Calculation ◽  
Main Cable ◽  
Unstressed State ◽  
Cable Force ◽  
And Control

Based on the object of self-anchored suspension bridge constructed with long segment hoist method, the load-carrying characteristics and construction technique which is different from other self-anchored suspension bridge is analyzed, and the method of calculation and control on steel box girder configuration during the construction course of long segment hoisted are proposed. For different calculation methods of girder configuration lifting, the influences of the three manners of pre-cambering for steel girders on the configuration and internal force of finished bridge are analyzed. The results show that inverse erection— forward erection—unstressed state synthetic method can guarantee the minimum deviation of steel girder configuration of finished bridge with the design, and it is not necessary to adjust the suspension cable force, and there is no change in main cable configuration and internal force.

Initial Equilibrium State Analysis for Concrete Self-Anchored Suspension Bridge under Dead Load

2013 ◽  
Vol 838-841 ◽  
pp. 1112-1117
Author(s):  
Jie Dai ◽  
Jin Di ◽  
Feng Jiang Qin ◽  
Yong Zhe Niu
Keyword(s):  
Equilibrium State ◽  
Suspension Bridge ◽  
Internal Force ◽  
Dead Load ◽  
Finite Element Software ◽  
Main Cable ◽  
Initial Equilibrium State ◽  
Shrinkage And Creep ◽  
Displacement Theory ◽  
State Analysis

Based on the limited displacement theory and iteration method, took into account characteristics of concrete self-anchored suspension bridge, converted effects of prestress, shrinkage and creep in concrete into equivalent loads, made use of the finite element software ANSYS, and took a concrete self-anchored suspension bridge in China as an example, the initial equilibrium state analysis for this type of bridge under static load was carried out in this paper in order to obtain main cable curve and reasonable internal force of the girder and hangers under dead load. The results showed that, the main cable curve was smooth, the distribution of the hangers axial force was uniform, and the concrete girder had certain amount of compressive stress reserves.

An analytical algorithm for the pylon saddle pushing stage and distance during the suspension bridge construction

2019 ◽  
Vol 22 (15) ◽  
pp. 3290-3305
Author(s):  
Wen-ming Zhang ◽  
Kai-rui Qian ◽  
Gen-min Tian ◽  
Zhao Liu
Keyword(s):  
Stress State ◽  
Proper Time ◽  
Bending Moment ◽  
Strength Criterion ◽  
Suspension Bridge ◽  
Suspension Bridges ◽  
Bridge Construction ◽  
Main Cable ◽  
Analytical Algorithm ◽  
Tensile Forces

During the construction of suspension bridges, the stress state of the pylon (tower) is improved by pushing the pylon saddle by an appropriate distance at the proper time. An analytical algorithm for the assessment of the required timing and displacements for the pylon saddle pushing at particular construction stages is proposed and verified in this study. The timing calculation is based on the assessment of current hanger tensile forces at each construction stage and the pylon stress state, while the pushing distance/displacement is derived from the conditions of elevation difference closure and the conservation of unstrained length of the main cable segments. This algorithm was successfully applied during the construction of a particular suspension bridge in China with a main span of 730 m. The results obtained strongly indicate that the bending moment in the pylon bottom is contributed by both horizontal and vertical forces of the main cable. The horizontal constituent is dominant and its share gradually increases in the bridge construction process. In a suspension bridge with side spans of various lengths, the stresses in the pylon bottom on the side with a larger side span is more likely to exceed the limit. Therefore, the respective strength criterion controls the pylon saddle-pushing schedule. The proposed analytical algorithm is quite straightforward and is recommended for wider application.

Analysis on Construction Control about Main Cable System of Cableway Bridge

2014 ◽  
Vol 711 ◽  
pp. 361-365
Author(s):  
Guo Jun Yang ◽  
Xian Wu Hao ◽  
Ji Peng Yang
Keyword(s):  
Suspension Bridge ◽  
Form Finding ◽  
Cable System ◽  
Method Of Calculation ◽  
Main Cable ◽  
Practical Engineering ◽  
Cable Force ◽  
Design Value ◽  
The Relationship ◽  
Good Agreement

Cableway bridge is a type of suspension bridge which mainly depends on the cable to suffer the force. The method of calculation unstressed length by parabolic method is introduced in this paper, and the form finding analysis of main cable is also analyzed, thus the method of calculation vector height of middle cross and cable force is concluded. Finally, the relationship between vector height and cable force is fitted based on the practical engineering, bedsides, the error is analyzed between design value and measured value, which comes to the conclusion that measured value is good agreement with design value.

EFESTS: Educational finite element software for truss structure – Part 3: Geometrically nonlinear static analysis

2017 ◽  
Vol 45 (2) ◽  
pp. 154-169 ◽  
Author(s):  
Wenjie Zuo ◽  
Ke Huang ◽  
Fei Cheng
Keyword(s):  
Finite Element ◽  
Internal Force ◽  
Truss Structure ◽  
Nonlinear Static Analysis ◽  
Geometrically Nonlinear ◽  
Sequence Diagrams ◽  
Tangent Stiffness Matrix ◽  
Finite Element Software ◽  
Nonlinear Static ◽  
Internal Force Vector

This article covers the modeling, formulation, solution, and software development of the geometrically nonlinear static finite element method of truss structure. Firstly, we summarize the total Lagrange bar elment formulation, which includes the tangent stiffness matrix and the internal force vector. Secondly, static class diagrams and dynamic sequence diagrams assist students in designing software architecture. Thirdly, the analytical example of the 2-bar truss structure and the numerical example of the 10-bar truss structure are presented to promote students’ understanding of geometrically nonlinear finite element theory and application. Finally, the developed software is free for educational research and can be downloaded from the website: http://mach.jlu.edu.cn/hb_images/xygk/xssz_sz_js.php?id=395 .

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