单纯形法在飞机平尾大轴结构设计中的应用  

Application of simple method on aircraft stabilizer's spindle structural design

作　　者：邓扬晨[1] 张爽[1] 章怡宁[1] 陈华[2] 

机构地区：[1]沈阳飞机设计研究所,沈阳110035 [2]西北工业大学机电工程学院,西安710072

出　　处：《强度与环境》2006年第1期26-34,58,共10页Structure & Environment Engineering

基　　金：航空科学基金(03B53003);航空专项基金(20044007)

摘　　要：为了研究歼击机水平尾翼大轴的结构设计,本文采用工程梁理论进行结构建模,将尺寸变量与坐标变量作为两个设计空间中的设计变量,其中,利用近似函数与黄金分割法相结合进行尺寸优化,再使用Nelder-Mead单纯形方法进行几何优化,分别进行交替优化,直至迭代收敛。实际算例的优化结果表明:与传统的经验设计相比,本方法对大轴结构减重效果明显,在工程上是可行的。In order to deal with the structural synthesis design on fighter stabilizer＇s spindle, we utilized engineering beam theory to construct this mechanic model, also regarded size variable and coordinate variable as two design spaces＇ variables. Meanwhile,we combined approximate function with golden section method to do size optimization. Then,simple method proposed by Nelder ＆ Mead was used for the geometry optimization. Finally, we optimized this problem in two spaces alternately until the iterations acquired convergence. Practical engineering example results showed that the posed method had good effect on stabilizer＇s spindle structure design comparing with experienced design approach.

关 键 词：平尾大轴 结构设计 近似函数 优化 单纯形法 

分 类 号：V214.19[航空宇航科学与技术—航空宇航推进理论与工程]