A New Multiconstraint Method for Determining the Optimal Cable Stresses in Cable-Stayed Bridges

Asgari, B.; Osman, Siti Aminah; Adnan, Azlan

doi:10.1155/2014/503016

Cited by 9 publications

(6 citation statements)

References 33 publications

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“…Sub-problem one (Sp1) is an internal force distribution optimization problem where Q is optimized with fixed X, as most of the "cable forces optimization" problems [18,19]. The most common and practical objective function of Sp1 is the weighted sum of members' strain energy.…”

Section: Problem Formulamentioning

confidence: 99%

Efficient Design Optimization of Cable-Stayed Bridges: A Two-Layer Framework with Surrogate-Model-Assisted Prediction of Optimum Cable Forces

Ma,

Song,

Wang

et al. 2024

Applied Sciences

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Cable-stayed bridges have commonly been built for crossing large-span obstacles, such as rivers, valleys, and existing structures. Obtaining an optimum design for a cable-stayed bridge is challenging, due to the large number of design variables and design constraints that are typically nonlinear and usually conflict with each other. Therefore, it is a reasonable alternative to turn the large and complex optimization problem into two sub-problems, i.e., optimizing the internal force distribution by adjusting the cable prestressing forces, and optimizing the other sizing or geometrical parameters. However, conventional methods are lacking in efficiency when dealing with the problem of optimization of cable forces in the first sub-problem, under the circumstance that iteration between the two sub-problems is required. To address this, this paper presents a surrogate-model-assisted method to construct a cable forces predictor ahead of the structural optimization process, so that cable forces can be effectively predicted rather than optimized in each iterative round. Additionally, B-spline interpolation curve is adopted for variable condensation when sampling for the surrogate model. Finally, the structure optimization in the second sub-problem is performed by leveraging an optimization program based on particle swarm optimization method. The performance of the proposed framework is tested with a practical engineering application. Results show that the proposed method showcases good efficiency and accuracy. The theoretical raw material consumption of the towers and the cables is 32% lower than the original design.

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Section: Problem Formulamentioning

confidence: 99%

Efficient Design Optimization of Cable-Stayed Bridges: A Two-Layer Framework with Surrogate-Model-Assisted Prediction of Optimum Cable Forces

Ma,

Song,

Wang

et al. 2024

Applied Sciences

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“…Zhang and Wang (2014) derived the cable equations for tension cables in their target state based on hanging chain line theory while considering temperature effects correction; they further employed a MATLAB calculation program to obtain the initial tension force of each bundle of diagonal cables. Asgari et al (2014) proposed a multiconstraint optimization method for determining the optimal tension force for cable-stayed bridges. The optimization method produces fewer bending moments and stresses in the bridge members and requires less simulation time than other methods.…”

Section: Introductionmentioning

confidence: 99%

A tensioning control method for stay cables with super large tonnage cable force

Wang,

Zhang,

Xiao

et al. 2024

IJSI

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PurposeEffectively solving the large tonnage cable in the construction process due to the tensioning method of the inclined cable often appears in the overall cable force and the design value of the deviation is large, cable internal strand force is not uniform, the main girder stress exceeds the limit of the problem affecting the safety of the structure.Design/methodology/approachIn this study, the finite element method and theoretical analysis method are utilized to propose a construction control method of tensioning the whole bunch of diagonal cables in two parts according to the deformation coordination relationship between the main girder and the diagonal cables. This methodology was implemented during the actual construction of the PAIRA Bridge in Bangladesh.FindingsTests conducted on cable-stayed bridges using this controlled tensioning method demonstrate that the measured cable strength of a single strand exhibits an error of less than 0.15% compared to the design target cable strength. The deviation between the measured and designed cable forces ranges from 0.16% to 0.27%. Furthermore, no tensile stress is observed in both the top plate and bottom plate of the root section of the main girder, indicating a state of full-section compression throughout the entire construction process.Originality/valueThrough the comparison with the test value, it can be proved that the whole bunch of diagonal cable tensioned in two parts of the construction control method proposed in this paper can make the internal strand force more uniform, to meet the precision requirements of the site construction, to protect the safety of the bridge construction process. The method proposed in this paper is highly accurate, easy to calculate, and has a high value of popularization and application.

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“…Because cables have the characteristics of light-weight, largeflexibility, and small-damping, those are used in civil engineering, navigation engineering, aerospace engineering, and other fields usually [1][2][3][4]. In civil engineering, from the investigation of long-span stay-cable bridges, it can find that large-scale vibration of stay-cables may occur under the loads of winds, rains, pedestrians, or vehicles [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Influences of Two Calculation Methods about Dynamic Tension on Vibration Characteristics of Cable-Bridge Coupling Model

Min

Liu

Wu³

et al. 2021

Discrete Dynamics in Nature and Society

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For the cable-bridge coupling model, the dynamic tension of cables is an important parameter to study the vibration characteristics of the model. Based on this concept, two calculation methods about dynamic tension of cables were introduced in great detail, and the influences of these two calculation methods on the vibration characteristics of cable-bridge coupling model were systematically investigated. Firstly, the vibration equation of the cable was derived based on the variational principle for Hamiltonian, and the vibration equation of the bridge deck was obtained by Newton’s law. Then, the vibration equation of the cable and bridge deck was transformed into ordinary differential vibration equation by the Galerkin method. In addition, the differences of the coefficients in the ordinary differential vibration equation obtained by these two calculation methods about dynamic tension were compared, and a parameter analysis was listed. Finally, the resonance mode of the cable-bridge coupling model was analyzed by a multiple scales method, and an example analysis was listed. The results of parameter analysis show that there are obvious differences in the linear coefficient and nonlinear coefficient of the ordinary differential vibration equation obtained by these two calculation methods. The results of example analysis show that, for the cable-bridge coupling model with 1 : 1 resonance, the amplitude of the model would not be different because of the two calculation methods about dynamic tension, but the amplitude of the cable would be affected by the calculation method significantly. It can be found that the research conclusions here can be helpful to the perfection of theoretical modeling and has certain guiding value for practical engineering.

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A New Multiconstraint Method for Determining the Optimal Cable Stresses in Cable-Stayed Bridges

Cited by 9 publications

References 33 publications

Efficient Design Optimization of Cable-Stayed Bridges: A Two-Layer Framework with Surrogate-Model-Assisted Prediction of Optimum Cable Forces

Efficient Design Optimization of Cable-Stayed Bridges: A Two-Layer Framework with Surrogate-Model-Assisted Prediction of Optimum Cable Forces

A tensioning control method for stay cables with super large tonnage cable force

Influences of Two Calculation Methods about Dynamic Tension on Vibration Characteristics of Cable-Bridge Coupling Model

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