Cable force optimization of cable-stayed bridges based on the influence matrix and elite genetic algorithm

Abstract

The limitations of conventional cable force optimization methods, which fail to automatically optimize and consider the overall performance of the bridge structure, as well as the drawbacks of extensive calculations, lengthy processing time, low efficiency, and slow convergence speed, when combined with intelligent optimization algorithms, should be addressed. Ansys and Matlab are used as the structural calculator and master control programs, respectively, with the minimum bending moment energy as the control objective.Moreover, the influence matrix and elite retention strategy are incorporated into the genetic algorithm to optimize the cable force during the bridge formation stage. This method can simultaneously account for the force characteristics of the main girder and pylon. Utilizing the influence matrix, the issue that each generation requires finite element evaluation can be resolved, thereby drastically reducing the amount of calculation. In addition to capitalizing on the benefits of the conventional influence matrix method, the proposed approach considers the iterative process of parameter selection and permits the addition of special constraint requirements to critical sections of the structure, thereby enhancing the realism of the optimization procedure. Furthermore, the introduction of the elite retention strategy enhances the convergence speed and stability of evolutionary iterations. Finally, a practical engineering application is utilized to validate the viability of the proposed method.

Keywords

cable-stayed bridge / cable force optimization / minimum bending moment energy / influence matrix / genetic algorithm / feasible domain