复杂截面桥梁寿命期可靠性设计分步优化
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摘要
针对传统复杂截面结构寿命期优化效率低及未考虑结构劣化效应的问题,将传统的直接以结构基本尺寸为优化变量的计算方案改为分3步优化:首先选取与截面造型无关的构件截面面积、抗弯惯矩、上下边缘距横截面中性轴的距离为中间变量,分别获得可靠度约束下的最优值,继而基于第一步优化结果,优化达到寿命期时所需的与构件造型有关的基本设计尺寸,最后考虑寿命期劣化效应的影响,逆向推算得结构初始设计尺寸。新型优化方案通过以构件共有的几何参数为中间变量,减少了复杂截面优化过程中直接以设计变量进行迭代的工作量,提高了优化效率及优化模式的适用性。寿命期劣化效应的考虑兼顾了优化模型的耐久性.效率。
Aiming at solving the low efficiency and the ignorance of the structural deterioration effect of the traditional complex cross-section structure, the traditional direct optimization method based on the structural basic dimensions are divided into three steps. Firstly, we select the cross-sectional area, the bending moment of inertia, the distance between the upper and lower edges from the neutral axis of the cross-section as the intermediate variables, which are unrelated to the type of cross-sectional. So the optimal value under the constraint of reliability will be respectively obtained. Secondly, the basic dimensions based on the optimization results of the first step are optimized. Finally, we calculate the initial design size of the structure in reverse in consideration of the effect of life span deterioration. The new optimization scheme can reduce the workload of directly iterating the design variables in the process of optimization of complex sections. It can also improve the optimization efficiency and the applicability of the optimization mode. By consideringthe deterioration effect of lifetime and the durability of the optimized model, the accuracy and efficiency of the new optimization model are verified by comparing it with the traditional optimization model.
Aiming at solving the low efficiency and the ignorance of the structural deterioration effect of the traditional complex cross-section structure, the traditional direct optimization method based on the structural basic dimensions are divided into three steps. Firstly, we select the cross-sectional area, the bending moment of inertia, the distance between the upper and lower edges from the neutral axis of the cross-section as the intermediate variables, which are unrelated to the type of cross-sectional. So the optimal value under the constraint of reliability will be respectively obtained. Secondly, the basic dimensions based on the optimization results of the first step are optimized. Finally, we calculate the initial design size of the structure in reverse in consideration of the effect of life span deterioration. The new optimization scheme can reduce the workload of directly iterating the design variables in the process of optimization of complex sections. It can also improve the optimization efficiency and the applicability of the optimization mode. By consideringthe deterioration effect of lifetime and the durability of the optimized model, the accuracy and efficiency of the new optimization model are verified by comparing it with the traditional optimization model.
引文
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[2]吴鹏,吴燕兰.大跨度桥梁设计要点与优化策略[J].交通世界,2017(32):96-97.
[3]辛立光,李典庆,曹子君.基于概率充分因子的高效土质边坡可靠度优化设计[J].武汉大学学报(工学版),2016,49(5):696-700.
[4] LIN F H,KUO W. Reliability importance and invariant optimal allocation[J]. Journal of Heuristics,2002,8(2):155-171.
[5] ZHANG J,ZHANG L M,TANG W H. Reliability-based optimization of geotechnical systems[J]. Journal of Geotechnical and Geoenvironmental Engineering,2011,137(12):1211-1221.
[6] STEWART M G,ESTES A C,FRANGOPOL D M. Bridge deck replacement for minimum expected cost under multiple reliability constraints[J]. Journal of Structural Engineering,2004,130(9):1414-1419.
[7]许林.基于可靠度的结构优化研究[D].大连:大连理工大学,2004.
[8]唐承,郭书祥,莫延彧.基于灵敏度分析的系统可靠性稳健分配优化方法[J].系统工程理论与实践,2017,37(7):1903-1909.
[9] ADAMANTIOS M,Relia Soft Corporation,Tucson. Reliability Allocation and Optimization for Complex Systems[C]//Proceedings Annual Reliability and Maintainability Symposium,2000:216-221.
[10]王茜.基于时变可靠度的桥梁结构安全状态评估方法[D].重庆:重庆大学,2016.
[11]陆春华,袁思奇.基于时变可靠度的锈蚀混凝土结构全寿命成本模型[J].建筑科学与工程学报,2017,34(2):71-78.
[12]章金桥,叶国弘.基于时变可靠度衰变预测的普通钢筋混凝土桥梁预防性养护模型研究[J].交通科技,2016(1):51-54.
[13]马昌凤,柯艺芬,谢亚君.最优化计算方法及其MATLAB程序实现[M].北京:国防工业出版社,2015.
[14]吴沧浦,夏园清,杨毅.最优控制的理论与方法[M].北京:国防工业出版社,2013.
[15]李春洋,陈守华,李羚玮.多态系统可靠性优化研究进展[J].机械强度,2016,38(5):1001-1007.
[16] KAYSER J R. The effects of corrosion on the reliability of steel girder bridges[D]. Ann Arbor:University of Michigan,1988.
[17]过镇海,时旭东.钢筋混凝土原理和分析[M].北京:清华大学出版社,2003.
[18]刘均利.混凝土桥梁耐久性评估与预测[D].长沙:湖南大学,2014.