利用并行子空间优化方法实现复杂工程系统并行设计优化  

Development of Concurrent Subspace Optimization Method and Its Applications in Parallel Design of Complex System

作　　者：张科施[1] 李为吉[1] 宋文萍[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《应用基础与工程科学学报》2009年第1期92-104,共13页Journal of Basic Science and Engineering

基　　金：国家自然科学基金(10702055);教育部博士点基金(20070699047);博士后科学基金(20070410383)

摘　　要：介绍了应用于航空航天领域内复杂系统设计的一种基于全局敏度方程的并行子空间优化算法,分析了算法的计算结构和参数设置,根据其收敛过程振荡和收敛早熟问题,发展了折衷系数的优化规律替代法和自适应累积约束参数法,提高了算法的收敛性能.算例表明改进后算法收敛性能有很大提高.将该算法用于某通用航空飞机的概念设计,考虑气动、重量和性能等3个学科,很好地解决了各学科间复杂耦合带来的计算困难,证实了本文算法的有效性.Concurrent Subspace Optimization （CSSO） method was modified for better convergence and was validated using a gearbox design problem and an aircraft conceptual design problem.For complex engineering design in aeronautic and astronautic field, the conventional design strategy was computational expensive, time-consuming, and was complicated in communication between subsystems. Global Sensitivity Equation based CSSO （GSECSSO） was a promising method to solve this problem due to its parallel design strategy and its ability of reducing design variables and constraints. However, GSECSSO sometimes had bad convergence. It was found that trade-off coefficients may cause divergence when it allowed too much violation of a constraint in order to obtain a reduction of the objective reduction. And an inappropriate value of parameter p for cumulative constraints may cause premature convergence when it was not large enough, or may cause divergence when it was too large. In this work, two strategies had been adopted to modify the original GSECSSO method as bellow ： 1 ） The trade-off coefficients were abandoned, since all trade-offs will occur naturally with minimization of objective function. 2） To prevent the inappropriate selection of p, p was modified to start from a small value and increase with a user-defined step, which can make the design correct its search direction thus the active constraint gradually dominates the cumulative constraint. A gearbox is designed using the modified method and the original one, respectively; the results show that the oscillatory convergence is much suppressed by using the modified GSECSSO and premature convergence has not happened. Then the modified GSECSSO is applied in the conceptual design of a general purpose aircraft. This conceptual design problem was divided into three disciplines, including aerodynamics, weight and performance discipline. Because aerodynamic subsystem transferred the lift-to-drag ratio to weight subsystem and performance subsystem and weight subsystem also

关 键 词：飞机设计 工程优化 多学科设计优化 并行子空间优化 全局敏度方程 

分 类 号：V221[航空宇航科学与技术—飞行器设计]