单纯形法下的开槽管型药柱恒面燃烧规律研究

推进技术 ›› 2013, Vol. 34 ›› Issue (10): 1382-1387.

单纯形法下的开槽管型药柱恒面燃烧规律研究

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

沈阳理工大学装备工程学院，辽宁沈阳 110159;沈阳理工大学装备工程学院，辽宁沈阳 110159;北京理工大学宇航学院,北京 100081;大连理工大学数学科学学院,辽宁大连 116024;大连理工大学数学科学学院,辽宁大连 116024;上海理工大学机械工程学院,上海 200093;沈阳理工大学装备工程学院，辽宁沈阳 110159

发布日期:2021-08-15
作者简介:相升海(1960—),男,博士,教授,研究领域为固体火箭发动机设计。E-mail:xiangshenghai@139.com 通讯作者:魏开新(1986—),男,硕士,研究领域为火炮、自动武器与弹药工程。E-mail:717580285@qq.com
基金资助:
国家自然科学基金项目(11272055)；辽宁省重点实验室科研基金(LS2010139)。

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

School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159,China;School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159,China;School of Aerospace Institute, Beijing Institute of Technology, Beijing 100081,China;School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159,China;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024,China;School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 20093, China;School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159,China

Published:2021-08-15

摘要/Abstract

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。 

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

Abstract: In order to get the nearly neutral burning law, mathematical model was propesed.The variance 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 diameter 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. 

Key words: Slotted tube grain; Burning law; Solid rocket motor; Simplex method; Optimal design CLC number:V435.21Document code:AArticle number:1001-4055(2013)10-1382-06

相升海,魏开新,李世鹏,唐恩凌,李文博,王衡,徐文龙. 单纯形法下的开槽管型药柱恒面燃烧规律研究[J]. 推进技术, 2013, 34(10): 1382-1387.

XIANG Sheng-hai¹, WEI Kai-xin^1,2, LI Shi-peng³, TANG En-ling¹, LI Wen-bo⁴,WANG Heng⁵, XU Wen-long¹. Study on Constant Burning Law for Slotted Tube Grain Based on Simplex Method[J]. Journal of Propulsion Technology, 2013, 34(10): 1382-1387.

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