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基于加速遗传算法的钢板组合梁桥设计优化研究

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针对公路简支钢板组合梁桥用钢量优化问题,提出基于加速遗传算法的组合梁截面优化方法,该方法以钢主梁用钢量为目标函数、以钢主梁截面参数为设计变量、以组合梁承载力和变形为约束条件对截面尺寸进行优化求解.以武穴长江公路大桥南引桥为背景,基于不同钢主梁间距下内力计算结果采用加速遗传算法求解钢主梁最优截面,获得钢主梁每延米最小用钢量和整桥每延米最小总用钢量随梁高变化趋势;结合优化结果提出了最小用钢量设计方案,并建立有限元模型进行优化后结构力学性能验算.结果表明:基于加速遗传算法的组合梁截面优化方法具有较好的收敛性和极值寻优能力;随钢主梁间距的增大,钢主梁截面尺寸及用钢量随之增大,但整桥总用钢量随之减小;钢主梁设计存在用钢量最为节约的最优梁高,该梁高随钢主梁间距的增大而增大;提出的桥梁最小用钢量设计方案计算挠度、应力小于规范限值,且具有足够的安全储备,可较好满足结构受力要求.
Research on Design and Optimization of Steel Plate Composite Girder Bridge Based on Accelerated Genetic Algorithm
This study presents a cross-section optimization method for the highway simply-supported steel plate composite girder bridge,based on the accelerated genetic algorithm,to address the steel consumption optimization issue.By using the steel amount of main girder as the objective function,the cross-section parameters of the main girder as design variables,and the load bearing capacity and deformation of the composite girder as constraints,the optimal cross-sectional dimension is calculated.The south approach of Wuxue Changjiang River Bridge is used as a case.Based on the internal forces of the bridge calculated when the steel main girders are arranged at different spacings,the accelerated genetic algorithm is applied to obtain the optimal cross-section of the steel main girder,and in turn,figure out the minimum steel consumption per linear meter,as well as the overall steel consumption of the full bridge along with the variation of girder depth.Based on the optimization,a minimum steel consumption design scheme was proposed,and finite element modeling was conducted to verify the mechanical property of the structure after optimization.It is shown that the cross-section optimization method based on accelerated genetic algorithm for the composite girder bridge displays sound convergence and extremum optimization capability.As the spacing of steel main girders gets bigger,the dimension of the steel main girder and steel consumption also rise,but the steel consumption of the overall bridge drops.There exists an optimal girder depth that is related to the most economical steel consumption,and the girder depth increases as the spacing between the steel main girders becomes bigger.The deflection and stresses calculated by the proposed minimum steel consumption design scheme are smaller than the limit values suggested in the codes,indicating that the steel main girders have sufficient safety margin and meet well the load bearing requirements of the structure.

composite girder bridgeaccelerated genetic algorithmcross-section optimizationnumerical modelminimum steel consumptionsteel main girder spacingstructural design

朱经纬、贾春雨、翟晓亮、徐有良、吴永昌

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山东建筑大学交通工程学院,山东济南 250101

中交第一公路勘察设计研究院有限公司,陕西西安 710075

山东金朝融惠检测科技有限公司,山东 济南 250100

中铁大桥局集团有限公司,湖北武汉 430050

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组合梁桥 加速遗传算法 截面优化 数值模型 最小用钢量 钢主梁间距 结构设计

2024

桥梁建设
中铁大桥局集团有限公司

桥梁建设

CSTPCD北大核心
影响因子:1.428
ISSN:1003-4722
年,卷(期):2024.54(6)