Optimization of cable forces for multi-span concrete extradosed bridges based on a multi-objective genetic algorithm

Abstract

This paper proposes a method to better address the optimization problem of cable forces in cable-stayed bridges, particularly when considering multiple objectives simultaneously. It applies genetic algorithms to optimize cable forces and utilizes Pareto theory for multi-objective optimization. The proposed method is implemented using MATLAB software as the programming platform and ANSYS parameterized modeling. Additionally, an actual bridge is used as a case study to validate the proposed optimization method. By minimizing the main beam bending strain energy and the maximum cable force of the cable as objectives with cable force values as optimization variables, the internal force state of the structure is improved by adjusting the cable forces distribution. The Pareto optimal solution is obtained through optimization calculations, reflecting the minimum main beam bending energy that can be achieved under different cable force safety factors. This solution can guide engineering design.