从多格薄壁盒模型结构优化设计想到的问题

通过构建简单模型来揭示飞行器翼面复杂结构中存在值得探讨的专题,是本文要研究的内容。以结构稳定性条件作为切入点,利用多格薄壁盒作为简化模型来模拟翼面结构的主要承力部分,巧妙地降低了问题的复杂性。其图形曲线特征表明:该优化问题的目标函数非凸不连续,而且还具有多个局部最优解;进一步的计算指出:无论是替换材料还是增减载荷大小或者改变几何参数的尺寸,此模型的最优结构拓扑形式均要发生变化。从本文所做的工作可以推知:无论从学术研究角度还是工程应用方面,基于稳定性约束的翼面结构优化设计均是一个值得研究的专题。

A Question from Structural Optimization on Thin Walled Box Model

It is the main purpose to reveal a deserved topic to be studied for aircraft wing complex structure through constructing a simple model. With structural stability condition, we regard a multi-board and thin-walled box as the simple model to simulate the key transferring force part of wing structure, so that we make the problem to be expressed less complicated. From fig. 2,we can obtain that the object function of the simple model is not only non-convex and non-continuous, but also has many local optima. More computational results in table 1~4 show that no matter you changed the type of material, varied the value of loads, or modified the geometric parameters of the model, the optimal structure layout would alter as well. From the work done in this paper, we can deduce that wing structural design optimization based on stability constraints is worthwhile to research, no matter for academic discussion or engineering application.