变循环发动机部件法建模及优化  

Component-level Modeling and Optimization for Variable Cycle Engine

作　　者：杨婷[1] 任炯[1] 刘友琼[1] 郑素佩[1] 

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《数学的实践与认识》2014年第14期89-98,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11171043);长安大学中央高校基本科研业务费项目(CHD2012TD015)

摘　　要：对2013年全国研究生数学建模竞赛A题"变循环发动机部件法建模及优化"的问题进行建模及求解.通过模型设计出逐维线性插值法对风扇和CDFS的几何特性进行研究.利用阻尼牛顿迭代法对共同工作方程组进行求解.运用非线性规划约束优化算法对发动机的性能进行优化.然后通过数值仿真验证了提出的算法的有效性.This topic is based on problem A in the Mathematical Contest in Modeling for the graduate students of China in 2013. Through the model the dimension-by-dimension linear interpolation method is designed to study the geometric characteristics of the fan and the CDFS. The balance equations are solved by the damped Newton iterative method.The optimization algorithm of constrained nonlinear programming is used to optimize the per- formance of the engine. Then through the numerical simulation, the effectiveness of the numerical algorithm proposed in this paper is verified.

关 键 词：变循环发动机 逐维线性插值 阻尼牛顿法 非线性规划约束优化算法 

分 类 号：O141.4[理学—数学]