Optimization of Cable Tensions of Finished Deck Type Arch Bridges With Diagonal Cables

Mathematical model is usually established for optimization of cable tension by influence matrix method or unit load method now,without regard to mutual effect between adjusted cable-forces.Aimed at their shortcomings,double influence matrix method for optimization of cable tension is put forward and theoretical derivation is made in this paper.Minimum bending strain energy of arch ribs is considered as optimum object by means of two influence matrixes in this method.Without iterative calculation,exact cable forces could be obtained using this method immediately.Finally,taking a deck type arch bridge with diagonal cable as an example,optimization calculation of cable tension is conducted separately using three different kinds of method in this paper.The research result shows that double influence matrix method has the characteristic of fast operating speed and high precision.