Discrete Structural Optimization
Discrete Structural Optimization
复制标题
离散结构优化
DOI：
10.1007/978-3-642-85095-0
复制
发表时间：
1970
期刊：
影响因子：
--
通讯作者：
K. Reinschmidt
中科院分区：
文献类型：
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作者：
K. Reinschmidt
离散规划在结构优化中的应用允许使用表格化的截面特性，并消除了对近似关系的需要，例如重量和截面模量之间的近似关系，这可能会模糊最优解。通过将约束函数线性化，将线性离散规划技术应用于弹性设计问题。AISC规范中桁架构件的许用压缩应力公式精确地包含在公式中。该程序还可以从各种等级的结构钢中选择最佳材料。为了计算经济，结构截面表被截断，使得解可能被限制在局部最优。由于这个原因，快速近似过程可能与精确但较慢的隐式枚举算法一样有效。由于局部最优取决于初始设计，因此可以通过生成随机起始点来搜索全局最优。基于贝叶斯统计的决策规则被开发来确定在设计过程中要研究的备选设计的最优数量。
The application of discrete programming to structural optimization permits the use of tabulated section properties and eliminates the need for approximate relations, such as between weight and section modulus, which may obscure the optimal solution. Linear discrete programming techniques are applied to elastic design problems by linearizing the constraint functions. The AISC Code formulae for allowable compression stresses in truss members are included exactly in the formulation. The program can also select the best material from various grades of structural steel. For computational economy, tables of structural sections are truncated, so that the solution may be restricted to a local optimum. For this reason, a fast approximate procedure may be as effective as an exact, but slower, implicit enumeration algorithm. Since the local optima depend upon the initial design, a search for the global optimum can be made by generating random starting points. Decision rules based on Bayesian statistics are developed to determine the optimal number of alternate designs to be investigated in the design process.