Abstract
The prestress design is crucial in cable-strut structures as it ensures structural stiffness and bearing capacity. In this paper, cable force is used as design variables, and the mechanical problem of solving node balance is transformed into the mathematical optimization problem of minimizing node unbalanced force. The equivalent force model (EFM) is used to establish a precision control function which can dynamically show the convergence trend of node unbalance force. The differential evolution (DE) algorithm is introduced, and the precision control function is taken as its fitness function to minimize the solution. To make it easy to use, the differential evolution algorithm is modified. On the one hand, an enhanced DE combining adaptive mutation operator and random crossover operator is proposed to improve the global search ability. On the other hand, the optimization method of initial population is proposed to solve the convergence efficiency problem of high-dimensional structure. The accuracy and efficiency of the proposed method are verified through the presentation of five representative cable-strut structures employing distinct design variables and equivalent force models. The computational efficiency and convergence accuracy of the method are also evaluated. This method is suitable for force finding of various cable-strut structures and can realize parametric design. It can dynamically show the accuracy change of iterative process and provide convenience for the initial prestress design of engineering designers.
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The authors gratefully appreciate the financial support provided by the National Natural Science Foundation of China (NSFC 51878014, NSFC 51878013, NSFC 51778017).
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Li, X., Li, X. & Xue, S. Prestress Iterative Design and Precision Control Method for Cable-strut Structures using Enhanced Differential Evolution. KSCE J Civ Eng (2024). https://doi.org/10.1007/s12205-024-1927-1
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DOI: https://doi.org/10.1007/s12205-024-1927-1