Optimal Design Based on Approximate Scaling
Optimal Design Based on Approximate Scaling
复制标题
基于近似尺度的优化设计
DOI：
--
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
U. Kirsch
中科院分区：
文献类型：
--
作者：
U. Kirsch
提出了一种新的优化设计程序，旨在减少求解过程中精确分析的数量。结构行为的高质量显式近似和缩放程序相结合来实现这一目标。为设计空间中的一组线（移动方向）引入显式行为模型。提出了一些用于选择这些线的算法。对于沿给定线的每个检查设计，都会评估结构行为。然后按比例缩放设计。该过程涉及少量计算工作，以各种步长重复，直到获得最佳约束设计。选择新的移动方向并引入修改后的近似模型。每个选定的方向只需要对结构进行一次精确分析。其结果是通过相对少量的精确分析获得最佳结果的有效途径。简单的例子说明了解决过程、显式行为模型的质量和效率，以及所提出的过程的潜力。
A new optimal design procedure, intended to reduce the number of exact analyses during the solution process, is proposed. High quality explicit approximations of the structural behaviour and a scaling procedure are combined to achieve this goal. Explicit behavior models are introduced for a set of lines (directios of move) in the design space. Some algorithms for selecting these lines are presented. For each checked design along a given line the structural behavior is evaluated. The design is then scaled. This procedure, which involves small computational effort, is repeated the various step sizes until the best constrained design is obtained. A new direction of move is selected and a modified approximate model is introduced. Each selected direction requires only a single exact analysis of the structure. The result is an efficient path to the optimum with a relatively small number of exact analyses. Simple examples illustrate the solution process, the quality and the efficiency of the explicit behavior model, and the potential of the proposed procedure.