离散变量优化设计网格复形法

Mesh complex form method for discrete variable optimization design

提出了等值、等效对应网格和增广单位等效网格的概念,建立了离散变量与等间距网格对应关系;提出了根据单位网格结点集的特征构建初始复合形的方法和探索过程,建立了离散变量优化设计的网格复形法;实例计算证明该法不仅可得到离散变量精确解,而且有效地避免了原复形法离散变量圆整解所带来的误差.

The concepts such as equivalent corresponding mesh and widened unit equivalent mesh are presented; and the coincidence relations between discrete variables and uniformpistonmeshes are established. Meanwhile, a method and an exploring process for constructing the initial complex form are also brought forward on the basis of characteristics of unit mesh node set and upbuilt mesh complex form method for discrete variable optimization design. The example calculations show that this method can not only produce the exact solutions to the discrete variables, but also remarkably reduce the errors introduced by the rounding solutions to discrete variables in the former complex method.