Optimal Design of Concrete Tied Arch Bridge
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摘要: 为探讨混凝土系杆拱桥的多参数优化设计方法,选取计算矢高、拱肋截面尺寸、系梁截面尺寸、吊杆面积和系梁纵向预应力筋数目作为设计变量,规范限值为约束条件,全桥总造价为目标函数,建立了混凝土系杆拱桥的优化模型;采用大型通用程序ANSYS和桥梁结构平面分析程序,结合混合整型序列二次规划法,混合编程求解优化模型.以某拱桥为工程背景,建立并求解优化模型,将优化结果与设计值进行比较.结果表明:系梁混凝土用量减少40.98%,拱肋混凝土用量减少23.81%,预应力钢筋数目减少28.23%,全桥材料总造价降低28.63%.Abstract: In order to investigate the multi-parameter optimal design method of concrete tied arch bridges, an optimal model was established. In this model, rise, cross section dimensions of arch ribs and tied beams, area of each suspender and number of pre-stressed steel bars in each hole are selected as the design variables, code values as the constraint conditions, and total cost of whole bridge as the objective function. A plane analysis program for bridge structure, the software ANSYS and the mix-integer sequence quadratic program method were used together to program and solve the optimal model. The optimal model was solved by taking an arch bridge as engineering background, the optimal results were compared with the design values. The comparison results show that the concrete consumptions of tied beams and arch ribs is respectively reduced by 40.98% and 23.81%, the number of pre-stressed steel bars is decreased by 28.23%, and the total material cost is cut by 28.63%.
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