弯梁斜跨拱桥合理恒载状态研究

弯梁桥和拱桥相互协作形成的弯梁斜跨拱桥,充分结合了弯梁桥的行车舒适性与拱桥易于布索的特点,大幅度提高了弯梁的跨越能力。本文首先综合斜拉桥索力调整和拱桥合理拱轴线设计方面的经验,研究弯梁斜跨拱桥合理恒载状态的实用设计方法;然后提出了约束松弛的二次规划算法和基于刚度矩阵减少重分析的策略,提高计算的收敛性和求解速度;最后经实桥分析指出设计中应注意的问题,为弯梁斜跨拱桥的应用提供依据。

Study on the reasonable state of curved girder arch bridges under the permanent load

The curved girder arch bridge is a type of bridge, which takes the advantages of curved girder bridges and arch bridges, i.e. travel comfort and ease of cable layout respectively and can greatly increase the span length of curved bridges. In current study, the reasonable state under the permanent load was investigated for this type of bridge firstly. Then, with experience of adjusting the cable forces in cable-stayed bridges and designing reasonable arch axis for arch bridges, a practical design method is proposed. Moreover, on the application of a quadratic programming method for constraint relaxation, and of a reduction method for re-analysis to the stiffness matrix, the convergence and solving speed are improved. Finally, a real curved girder arch bridge was studied and some specific problems were indicated for practical design, providing background concepts for practical applications.