Application of Quadratic Programming Method to Cable Force Calculation of Cable Erection Arch Bridge

Taking the bare arch deformation under gravity as target alignment, the influence matrix that associates the cable forces with segment deformation is obtained via ANSYS program, and the cable force is quickly calculated by MATLAB quadratic programming toolbox. It is illustrated with an example of Guizhou Zong-xi River Bridge, which is a 360-meter concrete filled steel tube bridge in construction, and the calculation process is given. The results show that, this new method has the advantages of high precision and less number of iterations.

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Research on Monitoring and Control for Suspender Cable Tension of Half-Through Concrete Filled Steel Tube Arch Bridge

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.859.131 ◽

2013 ◽

Vol 859 ◽

pp. 131-134

Author(s):

Fu Li Zhao ◽

Yi Qiang Xiang ◽

Qiang Qiang Wu

Keyword(s):

Steel Tube ◽

Calculation Formula ◽

Test Results ◽

Monitoring And Control ◽

Frequency Method ◽

Cable Tension ◽

Arch Bridge ◽

Concrete Filled Steel Tube ◽

Cable Force ◽

Force Calculation

The measurement accuracy of the cable tensions in the hanger rods of concrete filled steel tube arch bridges is important for the correct evaluation of bridges condition. Based on Jinpan Bridge-a half through concrete filled steel tube arch bridge with 80 m span in Tiantai, it was put forward the vibration frequency method for testing and evaluate suspender tensions with the help of analysis vibration characters of the suspender. The precision of cable force calculation formula was verified after comparing the practical tension with the designed tension obtained from tension jack method. Then, according to the test results and values predicted by the presented cable force calculation formula, the cable tensions were adjusted. Cable tension test results in the finished bridge show that this method is feasible.

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Analysis of Cable-Stayed Bridge for APDL-Based Optimization

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.243-249.1567 ◽

2011 ◽

Vol 243-249 ◽

pp. 1567-1572

Author(s):

Tao Zhang ◽

Hai Feng Bai

Keyword(s):

Parametric Design ◽

Element Model ◽

Internal Force ◽

Steel Tube ◽

Computational Time ◽

Cable Stayed Bridge ◽

Dead State ◽

Limit Value ◽

Cable Force ◽

Cable Forces

Optimum design for a cable-stayed bridge structure is very complicated because of large number of design variables. Use of ANSYS parametric design language in optimizing such structure consumes little computational time. The finished dead state analysis for single pylon double cable plane cable-stayed bridge with 120m long is performed. Mechanics equivalent are developed for the main pylon with concrete-filled steel tube. Prestress girder finite element model is established also. The theory of minimum bending strain energy is used in deriving the objective function as the quadratic form of the post-tensioning cable forces. In addition, the maximum deflection of the pylon and the maximum stresses of the main girder are both implemented in the optimization model. Optimized cable forces are found by optimization. Calculated results show that after the optimization, the cable force slightly changes, yet the internal force state under dead load remarkably improves, the bending stress of girder as well as the deflection of pylon significantly decreases. All these variations are satisfied for the limit value of engineering code. The results obtained revealed that the method presented indeed leads to optimal structural performance for the cable-stayed bridge in particular, and might be a useful reference for the design of other similar bridges.

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Cable Force Optimization Method in Two Stages for Spatial Cables

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.405-408.1695 ◽

2013 ◽

Vol 405-408 ◽

pp. 1695-1698

Author(s):

Hai Xin Huang ◽

Ying Zhang ◽

Shou Shan Cheng ◽

Fan Li

Keyword(s):

Spatial Structure ◽

Optimization Method ◽

Subsequent Stage ◽

Nonlinear Structure ◽

Influence Matrix ◽

Force Optimization ◽

Initial Stage ◽

Cable Force ◽

Cable Forces ◽

Two Stages

To get the ideal cable forces of the arch bridge with spatial oblique cables,Rigid Support Continuous Beam Method and Rigid Suspender Method are discussed.The results show that the former is unsuitable for the spatial structure with smaller horizontal stiffness,and the latter does not consider the elastic deformations of the cables.An improved cable force optimization method is provided,which takes Rigid Suspender Method as the initial stage to obtain initial cable forces and takes Influence Matrix Method as the subsequent stage for cable force increments.The method by test is proved to be effective to spatial structure and nonlinear structure with spatial cables.

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Real-Time Cable Force Calculation beyond the Wrench-Feasible Workspace

Robotics ◽

10.3390/robotics9020041 ◽

2020 ◽

Vol 9 (2) ◽

pp. 41 ◽

Cited By ~ 1

Author(s):

Roland Boumann ◽

Tobias Bruckmann

Keyword(s):

Real Time ◽

Parallel Robot ◽

The Novel ◽

Set Point ◽

Numerical Efficiency ◽

Cable Force ◽

Cable Forces ◽

Special Circumstances ◽

Force Calculation ◽

Iterative Structure

Under special circumstances, a cable-driven parallel robot (CDPR) may leave its wrench-feasible-workspace. Standard approaches for the computation of set-point cable forces are likely to fail in this case. The novel nearest corner method for calculating appropriate cable forces when the CDPR is outside of its wrench-feasible-workspace was introduced in former work of the authors. The obtained cable force distributions aim at continuity and generate wrenches close to the desired values. The method employs geometrical operations in the cable force space and promises real-time usability because of its non-iterative structure. In a simplified simulation, a cable break scenario was used to carry out more detailed testing of the method regarding different parameters, a higher number of cables, and the numerical efficiency. A brief discussion about the continuity of the method when entering the wrench-feasible-workspace is presented.

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