基于MOPSO的RC桥梁全寿命抗震性能多目标优化研究

发布时间：2018-06-17 22:30

本文选题：钢筋混凝土桥墩 + MOPSO算法　；参考：《大连理工大学》2015年硕士论文

【摘要】：随着我国经济建设的快速发展,桥梁工程的规模和数量都在不断的提高。工程经验表明一旦遭受强烈的地震作用,严重损坏的桥梁结构势必会造成不可估量的损失。基于性能的桥梁抗震设计方法以及桥梁全寿命多目标优化的联合运用,能够更全面的考虑工程全寿命期内的经济性和合理性。为了提高桥梁抗震验算及方案选择的效率和全面性,将多目标优化算法和桥梁全寿命抗震性能设计联合起来,运用Pushover静力弹塑性分析,能够快速的给出约束范围内的一系列符合抗震设计要求的方案,为设计提供充足的方案选择空间。本文在国家重点基础研究发展计划资助“973”项目(2011CB013605-4)、国家自然科学基金项目(51178079)和辽宁省优秀人才基金资助项目(2014020012)的支持下,采用收敛性和可靠性能较优的的多目标粒子群算法(MOPSO)以及考虑桥梁全寿命周期内的三个目标费用函数模型,结合桥梁结构在不同抗震设防水准下的抗震验算和静力弹塑性分析。主要的研究工作如下：(1)总结回顾了文献中桥梁工程在地震作用下的破坏形式和桥梁抗震设计理论、方法的研究进展。阐述了基于性能的桥梁抗震设计方法的优越性和工程应用的合理性,给出了桥梁工程在两级设防地震下的抗震设计过程。(2)总结分析了文献中多目标优化算法的提出和发展过程,详细论述了多目标粒子群优化算法MOPSO在解决多目标优化问题时的良好性能和算法求解过程,分析了外部存储文档的应用和特殊变异算子的运用对算法求解的影响。(3)综述了桥梁全寿命设计的发展和研究进展,对比分析了不同的全寿命周期费用模型的差异,并采用考虑桥梁初始造价、地震损失期望和后期拆除费用的三目标费用函数模型对桥墩进行全寿命抗震性能优化设计分析。(4)采用MATLAB软件对算法和桥墩抗震设计过程进行编程,通过验算桥墩在E1和E2两级设防水准对应的水平地震作用下的抗震性能和Pushover分析得到墩顶的最大位移漂移率,结合抗震规范中的三级设防水准下的桥墩破坏超越概率得到相应的桥墩遭受地震时的损失期望值、初始造价和后期拆除费用。利用MOPSO算法对桥墩的全寿命费用进行抗震优化选择,最后得到Pareto最优解。(5)对算法的稳定性和可靠性进行了对比计算分析,并给出了算法相应参数的取值范围。同时将桥墩的抗震设计转化为一定约束范围内的多目标优化问题进行方案优化设计,能够为工程提供较好的选择空间。
[Abstract]:With the rapid development of economic construction in our country, the scale and quantity of bridge engineering are increasing continuously. Engineering experience shows that once strong earthquake action, serious damage to the bridge structure will inevitably cause incalculable losses. The performance-based seismic design method and the combined application of multi-objective optimization for the whole life of the bridge can consider the economy and rationality of the whole life cycle of the project more comprehensively. In order to improve the efficiency and comprehensiveness of bridge seismic checking calculation and scheme selection, the multi-objective optimization algorithm is combined with the whole life seismic performance design of the bridge, and the static elastoplastic analysis of pushover is used. It can quickly give a series of schemes that meet the requirements of seismic design in the range of constraints, and provide sufficient choice space for the design. This paper is supported by the National key basic Research and Development Program ("973" project "973" project "2011 CB013605-4", the National Natural Science Foundation project No. 51178079) and the Liaoning Province excellent talents Fund project (No. 2014020012). The multi-objective particle swarm optimization (MOPSO) algorithm with better convergence and reliability is adopted and three objective cost function models are considered in the whole life cycle of the bridge. The aseismic checking calculation and static elastic-plastic analysis of the bridge structure under different seismic fortification levels are combined. The main research work is as follows: (1) summarizing and reviewing the damage form of bridge engineering under earthquake and the research progress of bridge seismic design theory and method in literature. This paper expounds the superiority of performance-based seismic design method for bridges and the rationality of engineering application, and gives the aseismic design process of bridge engineering under two-level fortification. The good performance of multi-objective particle swarm optimization (MOPSO) algorithm and the process of solving the multi-objective optimization problem are discussed in detail. In this paper, the application of external storage documents and the influence of special mutation operator on the solution of the algorithm are analyzed. The development and research progress of bridge life design are summarized, and the differences of different life-cycle cost models are compared and analyzed. A three-objective cost function model considering the initial cost of the bridge, the expectation of earthquake loss and the cost of the later demolition is used to optimize the seismic performance of the pier for the whole life of the pier. The MATLAB software is used to program the algorithm and the aseismic design process of the pier. The maximum displacement drift rate of the pier is obtained by checking the seismic behavior and pushover analysis of the pier under the horizontal earthquake action corresponding to E1 and E2 level. The loss expectation, initial cost and later demolition cost of the pier are obtained by combining with the failure transcendence probability of the pier under the three-level fortification level in the aseismic code. Finally, the Pareto optimal solution is obtained. The stability and reliability of the algorithm are compared and analyzed, and the range of the corresponding parameters of the algorithm is given. At the same time, the seismic design of bridge piers can be transformed into a multi-objective optimization problem with certain constraints, which can provide a better choice space for the project.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U442.55

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