多级递阶工程系统全局优化抗震设计的混合法
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摘要
多级递阶工程系统是由大型建筑工程项目的主要结构, 按照功能逻辑关系构成的多层次、树分支结构系列。在离散型决策变量、工程抗震优化设计背景下, 本文针对该系统结构分布特点, 提出全局优化计算的混合法。这一方法把耦合法与分解法的优点结合起来, 灵活地处理系统结构边界条件, 并使优化空间达到高度的降维, 对于大规模、分布复杂的多级递阶系统, 具有很高的优化计算效率。算例讨论了这一方法在决策大型建筑工程项目最优设防标准、最优造价和总投资最优分配方面的应用, 并同其它方法的结果作了比较。
The multilevel hierarchical engineering system is defined as a multilevel branching structural series, which consists of the main structures in a large engineering project arranged with functionally logical relationships. With the engineering background of anti-seismic optimal design and the case where structural earthquake protection intensities are treated as discrete variables, a mixed global optimization method is put forward in this paper. The proposed method combines the coupling method with the decoupling mrethod, considering the complex boundary conditions of systems and reducing the order of relevant optimized space, it is proved to be more appropriate for the optimization of multilevel hierarchical systems. An example is presented to demonstrate the efficiency and accuracy of the presented method in facilitating optimal decisions on the optimal earthquake protection criterion, construction cost, and allocation of total investment. The results are compared with those obtained by other methods.
The multilevel hierarchical engineering system is defined as a multilevel branching structural series, which consists of the main structures in a large engineering project arranged with functionally logical relationships. With the engineering background of anti-seismic optimal design and the case where structural earthquake protection intensities are treated as discrete variables, a mixed global optimization method is put forward in this paper. The proposed method combines the coupling method with the decoupling mrethod, considering the complex boundary conditions of systems and reducing the order of relevant optimized space, it is proved to be more appropriate for the optimization of multilevel hierarchical systems. An example is presented to demonstrate the efficiency and accuracy of the presented method in facilitating optimal decisions on the optimal earthquake protection criterion, construction cost, and allocation of total investment. The results are compared with those obtained by other methods.
引文
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[2] 朱靖华.多级递阶工程系统的全局优化[D].哈尔滨:哈尔滨工业大学,1999.
[3] 朱靖华,王光远.多级递阶工程结构系统抗地震设计的全局优化[J].工程力学,2002,19(6):171~180
[4] 朱靖华,王光远.多级递阶工程系统抗地震设计全局优化的对偶分解法[J].建筑结构学报,2002,(6):33~40
[5] 朱靖华,王光远.多级递阶工程系统抗地震设计整体优化的计算实现[J].计算力学学报,2002,19(4):384~392
[6] 王光远,朱靖华.地震作用下串、并联工程系统中结构失效相关性的近似处理[J].地震工程与工程振动,1998,(4):15~24
[7] JinghuaZhu andHuiyuXue.TransientAnalysis ofGeometri callyLinear andNonlinearStructures by aCombinedFinite el ementRiccati transferSubstructureMethod[J].Int.J.Nu mericalMethods inEngineering.NewYork,1993,36(9):1509~1518
[8] 王光远.简单工程系统抗地震设计全局优化的直接解法[J].土木工程学报,1998,36(6):7~15
[9] I.J.Nagrath,M.Gopal,ControlSystemsEngineering.HalstedPress, aDivision ofJohnWiley&Sons,Inc.,NewYork,1982,73~128
[10] 朱道立.大系统优化理论与应用[M].上海交通大学出版社,1987,175~179
.[11] M.Jamshidi.LargeScaleSystemsModeling andControl.NorthHolland,NewYork,1983,63~124
[12] 《现代应用数学手册》编委会.运筹学与最优化理论卷[M].清华大学出版社,1998
[13] 朱靖华,王光远.多级递阶工程结构系统抗地震设计全局优化的科学机制[J].系统工程增刊,2001,8~15
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