单纯形法下的开槽管型药柱恒面燃烧规律研究(英文)  

Study on Constant Burning Law for Slotted Tube Grain Based on Simplex Method

作　　者：相升海[1] 魏开新[1,2] 李世鹏[3] 唐恩凌[4] 李文博[4] 王衡[5] 徐文龙[1] 

机构地区：[1]沈阳理工大学装备工程学院,辽宁沈阳110159 [2]北京北方车辆集团有限公司,北京100072 [3]北京理工大学宇航学院,北京100081 [4]大连理工大学数学科学学院,辽宁大连116024 [5]上海理工大学机械工程学院,上海200093

出　　处：《推进技术》2013年第10期1382-1387,共6页Journal of Propulsion Technology

基　　金：国家自然科学基金项目(11272055);辽宁省重点实验室科研基金(LS2010139)

摘　　要：为了得到开槽管型药柱的近于恒面的燃烧规律,建立数学模型,选择燃烧面积的方差作为目标函数,应用解析式方法进行分析研究,并基于单纯形法,同时改变多个设计变量,对开槽管型药柱进行优化。结果表明:设计变量内径、槽深值减小,可以使燃烧面积的变化率减小;端面弧槽半径值增大,可以降低开槽的难度;槽长值增大,可以使燃烧面积的变化率减小;目标函数值的波动幅度减小,使燃烧面积的变化率减小,燃烧规律更趋于恒面性。In order to get the nearly neutral burning law, mathematical model was propesed. The va- riance of burning law was selected as the objective function, and the burning law for slotted tube grain was studied by the method of analytic formulae. Based on simplex method, slotted tube grain was optimized by changing the multiple design parameters at the same time. The results show that the decrease of inner diam- eter and slot depth can decrease the rate of the change for burning area. The increase of the arc can reduce the difficulty of slotting and the increase of slot length can decrease the rate of the change for burning area. The decrease of the amplitude for objective function can decrease the rate of the change for burning area, and can make the burning law close to neutral.

关 键 词：开槽管型药柱 燃烧规律 固体火箭发动机 单纯形法 优化设计 

分 类 号：V435.21[航空宇航科学与技术—航空宇航推进理论与工程]