Research on Solution Method for Cable-Stayed Bridge Formation Based on Influence Matrix and Interior Point Method

A cable tension calculation method based on an influence matrix and the interior point method is proposed for the optimization of cable tension of cable-stayed bridges with multiple performance indicators. Taking a hybrid beam cable-stayed bridge as an example, an objective function based on the bending energy of the tower and beam was established using an influence matrix. Constraints on the range and uniformity of cable force values, the deformation amplitude of the main beam and tower, and the local bending moment of the main beam were established. A cable force optimization model for a completed cable-stayed bridge was formed, and the interior point method was applied to calculate the optimization model. The results show that using an influence matrix and the interior point method to optimize the cable tension of cable-stayed bridges is feasible. The bridge state corresponding to the cable tension solved by this method meets the set evaluation criteria for the bridge state, and some constraint conditions obtain boundary values. This method is simple, practical, and easy to program and implement.