Three-dimensional finite element-coupled optimisation assessment of Extra-large Bridges

[EN] The coupled optimisation research of large-scale hyperstatic bridges has a significant impact on the sustainable development of the construction industry. A literature survey shows that no three-dimensional research into double-tower cable-stayed bridges has been carried out. The core reason for this research is to solve complex problems, such as the nonlinearity of the multiple materials and multiple constraints of hyperstatic structures. This study solves the discrete type, convergence and stability problems of discontinuous variables of hyperstatic bridges, by establishing models, such as micro-lattice single crystal nonlinear singular matrix equations, and discrete mathematical statistical perturbation methods. We propose a systematic theoretical research system suitable for evaluating hyperstatic structures. The robustness and scientific validity of the established model are proved through case analysis. This breaks the constraints of low research efficiency and the need to invest in more scientific research and provide a large amount of funds in the coupled optimisation of hyperstatic structures; it effectively promotes the sustainable development research of hyperstatic three-dimensional bridges.