基于影响矩阵法及序列二次规划法的斜拉桥自动调索
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摘要
为了研究结构单元和设计变量较多、设计工况复杂的斜拉桥索力优化问题,以某双塔三跨斜拉桥为例,基于既有的影响矩阵理论,以主梁和桥塔的弯曲应变能来建立目标函数,通过序列二次规划法实现索力的自动搜索优化计算,并同常规算法进行比较分析。计算结果表明:该方法应用于复杂斜拉桥索力优化,优化后的索力与设计索力能良好的吻合,成桥状态主梁弯矩分布更加均匀,主塔可以充分发挥其轴向承压能力,结构变形远小于规范限制,为斜拉桥的索力优化提供了一种新的高效解决思路。
In order to study more structure units and design variables, and the optimization of cable force of cable-stayed bridge with the complex design conditions, taking a double-pylon three-span cable-stayed bridge as an example, and based on the existing influence matrix theory, the objective function can be established by the bucking strain of main girder and bridge pylon. The automatic search and optimization calculation of cable force can be realized by the sequential quadratic programming method, and the comparison and analysis can be carried out with the conventional algorithm. The calculation results show that this method is applied in the optimization of cable force of the complex cable-stayed bridge, the optimized cable force can be in good agreement with the design cable force, the distribution of bending moment of the main girder at the finished bridge state is more uniformly, the main pylon can fully play its axial loading capacity and the structural deformation is too smaller than the criterion limit, which provide a new efficient solving idea to optimize the cable force of cable-stayed bridge.
In order to study more structure units and design variables, and the optimization of cable force of cable-stayed bridge with the complex design conditions, taking a double-pylon three-span cable-stayed bridge as an example, and based on the existing influence matrix theory, the objective function can be established by the bucking strain of main girder and bridge pylon. The automatic search and optimization calculation of cable force can be realized by the sequential quadratic programming method, and the comparison and analysis can be carried out with the conventional algorithm. The calculation results show that this method is applied in the optimization of cable force of the complex cable-stayed bridge, the optimized cable force can be in good agreement with the design cable force, the distribution of bending moment of the main girder at the finished bridge state is more uniformly, the main pylon can fully play its axial loading capacity and the structural deformation is too smaller than the criterion limit, which provide a new efficient solving idea to optimize the cable force of cable-stayed bridge.
引文
[1]于玲.混合梁斜拉桥成桥索力优化理论及工程应用[J].辽宁工程技术大学学报(自然科学版),2016,35(2):176-181.
[2]黄庆祥.某斜拉桥合理成桥状态模拟分析[J].山西交通科技,2013(5):57-59.
[3]陈从春.基于费用最小原则的矮塔斜拉桥索力优化研究[J].工程力学,2012,29(5):141-146.
[4]姜涛,陈亮,张哲,等.基于应力可行域法的斜拉桥合理成桥状态确定[J].世界桥梁,2014,42(3):76-79.
[5]阴文蔚.确定斜拉桥合理成桥状态的应力优化法[J].市政技术,2016(1):47-52.
[6]郭钟群,谢志华,赵奎,等.基于可行域法的斜拉桥索力优化[J].江西理工大学学报,2012,33(3):10-13.
[7]李妍.基于乘子-Newton优化算法确定钢箱梁斜拉桥的合理成桥状态[J].武汉理工大学学报,2015,37(5):81-89.
[8]肖汝诚,项海帆.斜拉桥索力优化的影响矩阵法[J].同济大学学报,1998,26(3):235-240.
[9]唐春明,强次可行方法与序列二次约束二次规划算法的研究[D].上海:上海大学,2008.
[10]李新平,王沸仁.基于MIDAS的斜拉桥成桥索力优化方法[J].公路与汽运,2014(165):149-151.
[2]黄庆祥.某斜拉桥合理成桥状态模拟分析[J].山西交通科技,2013(5):57-59.
[3]陈从春.基于费用最小原则的矮塔斜拉桥索力优化研究[J].工程力学,2012,29(5):141-146.
[4]姜涛,陈亮,张哲,等.基于应力可行域法的斜拉桥合理成桥状态确定[J].世界桥梁,2014,42(3):76-79.
[5]阴文蔚.确定斜拉桥合理成桥状态的应力优化法[J].市政技术,2016(1):47-52.
[6]郭钟群,谢志华,赵奎,等.基于可行域法的斜拉桥索力优化[J].江西理工大学学报,2012,33(3):10-13.
[7]李妍.基于乘子-Newton优化算法确定钢箱梁斜拉桥的合理成桥状态[J].武汉理工大学学报,2015,37(5):81-89.
[8]肖汝诚,项海帆.斜拉桥索力优化的影响矩阵法[J].同济大学学报,1998,26(3):235-240.
[9]唐春明,强次可行方法与序列二次约束二次规划算法的研究[D].上海:上海大学,2008.
[10]李新平,王沸仁.基于MIDAS的斜拉桥成桥索力优化方法[J].公路与汽运,2014(165):149-151.