利用修正的Ernst公式考虑吊索几何非线性,以影响矩阵法为理论基础,以目标索力差值和拱肋横向位移为双控制目标,采用以弯曲应变能最小为约束条件的最小能量法进行拱、弯梁与索空间组合结构的索力优化计算,约束最优方法求解出拱、弯梁与索空间组合结构的施调索力、最优调索顺序以及调索过程索力控制终值。结合世界上跨度最大的拱、弯梁与索组合结构的工程调索实例,利用有限元法实现了调索计算。结果表明,该方法所确定的调索张拉顺序、施调索力能够满足调索施工控制要求,最终成桥状态亦达到设计要求,为今后类似结构的调索工程提供了重要参考。
Considering geometric nonlinearity of cable, based on the theory of influence matrix method, and taking the differences between the target cable tension and lateral displacement of arch rib as dual control objectives, the optimized calculation of cable tension of spatial composite structure of arch, curved beam and cable is conducted by using the modified Ernst formula and the minimum energy method which regarded the bending strain energy minimization as constraints. The adjusted cable tension forces, the optimal order of cable tension adjustment, and the final control value of cable force in adjustment process are solved by the optimal constraint method. Combining with the cable tension adjustment examples of the largest spatial arch, curved beam and cable composite structure in the world, the cable tension adjustment calculation is conducted with finite element method. The result shows that the optimal order of cable tension adjustment and the adjusted cable tension forces meet the control requirements of cable adjustment, and the completion state eventually meets the design requirements. This method provided an important reference for similar structures of cable tension adjustment in the future.