New Approximation Method for Stress Constraints in Structural Synthesis
New Approximation Method for Stress Constraints in Structural Synthesis
复制标题
结构综合中应力约束的新近似方法
DOI：
10.2514/3.10119
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
E. Salajegheh
中科院分区：
文献类型：
--
作者：
G. Vanderplaats;E. Salajegheh
提出了一种新的处理结构综合中应力约束的近似方法。在以前的方法中，通常是创建关于设计变量的实际约束的近似值，然后将其与优化一起使用以产生新的候选设计。在目前的方法中，有限元节点力是近似的，这些被用来创建一个显式的，但通常是非线性的，原始问题的近似。其主要动机是尽可能创建最佳近似值，以减少达到最佳值所需的详细有限元分析的次数。该方法非常简单，同时在整体优化任务中提供了显着的效率增益。此外，该方法对原始问题产生了高质量的近似，从而大大减少了在近似优化阶段对移动限制的需要。通过算例与已发表的结果进行比较，验证了该方法的有效性和可靠性。结论是，通过继续仔细研究近似技术，仍有相当大的收获有待实现。
A new approximation method for dealing with stress constraints in structural synthesis is presented. In previous methods, it has been common to create an approximation of the actual constraints with respect to the design variables and then use this with optimization to produce a new candidate design. In the present method, the finite-element nodal forces are, instead, approximated, and these are used to create an explicit, but often nonlinear, approximation to the original problem. The principal motivation is to create the best approximation possible, in order to reduce the number of detailed finite-element analyses needed to reach the optimum. The method is shown to be quite simple, while providing significant efficiency gains in the overall optimization task. Also, the method produces such high-quality approximations to the original problem that the need for move limits during the approximate optimization stage is greatly reduced. Examples are offered and compared with published results to demonstrate the efficiency and reliability of the proposed method. It is concluded that there are considerable gains yet to be achieved through continued careful investigation of approximation techniques.