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Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review

机译：数学和元启发式方法在钢框架结构设计优化中的广泛应用

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摘要

The type of mathematical modeling selected for the optimum design problems of steel skeletal frames affects the size and mathematical complexity of the programming problem obtained. Survey on the structural optimization literature reveals that there are basically two types of design optimization formulation. In the first type only cross sectional properties of frame members are taken as design variables. In such formulation when the values of design variables change during design cycles, it becomes necessary to analyze the structure and update the response of steel frame to the external loading. Structural analysis in this type is a complementary part of the design process. In the second type joint coordinates are also treated as design variables in addition to the cross sectional properties of members. Such formulation eliminates the necessity of carrying out structural analysis in every design cycle. The values of the joint displacements are determined by the optimization techniques in addition to cross sectional properties. The structural optimization literature contains structural design algorithms that make use of both type of formulation. In this study a review is carried out on mathematical and metaheuristic algorithms where the effect of the mathematical modeling on the efficiency of these algorithms is discussed.
机译：为钢骨架框架的最佳设计问题选择的数学建模类型会影响所获得的编程问题的大小和数学复杂度。对结构优化文献的调查显示，基本上有两种类型的设计优化公式。在第一类型中，仅将框架构件的横截面特性作为设计变量。在这种公式化中，当设计变量的值在设计周期中发生变化时，就有必要分析结构并更新钢框架对外部载荷的响应。这种类型的结构分析是设计过程的补充部分。在第二种类型中，除了构件的横截面特性外，关节坐标也被视为设计变量。这样的表述消除了在每个设计周期中进行结构分析的必要性。除横截面特性外，还通过优化技术确定关节位移的值。结构优化文献包含利用两种配方的结构设计算法。在这项研究中，对数学和元启发式算法进行了综述，其中讨论了数学建模对这些算法效率的影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|271031.1-271031.33|共33页
  • 作者

    Mehmet Polat Saka; Zong Woo Geem;

  • 作者单位

    Department of Civil Engineering, University of Bahrain, P.O. Box 32038, Isa Town, Bahrain;

    Department of Energy and Information Technology, Gachon University, Seongnam 461-701, Republic of Korea;

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