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

Journal of Propulsion Technology ›› 2013, Vol. 34 ›› Issue (10): 1382-1387.

• Combustion , Heat and Mass Transfer • Previous Articles Next Articles

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

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

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)。

Abstract

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

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

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.

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.

References

［1］王春利,孙维申,邹广宝.开槽管型装药（减面形）的设计与应用研究［J］.固体火箭技术,1996,19(3):41 45. ［2］魏志军,张平,方蜀州.美国“爱国者PAC 3”型导弹主发动机装药药型反设计［J］.固体火箭技术,2004,27(2):114 116. ［3］原小波,王昆.美国PAC 3系统导弹防御能力评估［J］.科技信息,2010,(1):28 29. ［4］王婷,周军. PAC 3拦截弹建模与仿真研究［J］.系统仿真学报.2007,19(20):4642 4645. ［5］Eagar M A, Jordan F W. A Robust Ballistic Design Approach for the Space Shuttle Advanced Solid Rocket Motor［J］.Joint PropulsionConferenceandExhibit,1993,29（14）：108 235. ［6］申卯兴,许进.求解线性规划的单纯形法的直接方法［J］.计算机工程与应用,2007,40(30):94 96. ［7］K Nisar. Preliminary Design and Optimization of Slotted Tube Grain for Solid Rocket Motor［J］.Journal of Aerospace Power,2008,(12):2333 2340. ［8］CAO Tai yue, SHI Yan hui, WU Hai bo. Optimization of Grain Design for Hybrid Rocket Engine［J］.Journal of Propulsion Technolo,2000,2(1):68 70.(曹泰岳,师艳辉,吴海波.固体火箭发动机装药设计优化［J］.推进技术,2000,21(1):68 70.) ［9］YANG Juan, RONG Hai wu, ZHU Yan tang,et al. Design Optimization of Solid Motor Grains［J］.Journal of Propulsion Technology,1997,21(1):99 102.(杨娟,戎海武,朱燕堂,等.固体发动机药柱优化设计［J］.推进技术,1997,21(1):99 102.) ［10］曹治国,汪勇.基于模拟退火—单纯形法的目标函数的优化［J］.华中科技大学学报,2005,33(6):68 69. ［11］张小燕,王晓红.单纯形最优化法在氢化物原子吸收分析中的应用［J］.分析试验室,2001,20(3):85 86. ［12］葛爱学,夏智勋,方丁酋.固体火箭发动机三维药柱燃面计算方法的分析与比较［J］.战术导弹技术,1999,(3):34 38. ［13］王利,尚向阳.函数解析式方法探求［J］.科技信息,2011,(29):750 751. ［14］吕栋雷,曹志耀,邓宝.利用方差分析法进行模型验证［J］.计算机仿真,2006,23(8):46 48. ［15］杨小勇.方差分析法浅析—单因素的方差分析［J］.实验科学与技术,2013,11(1):42 43. ［16］周富臣.方差检验及其应用［J］.计量技术,2000,(1):46 48.

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

单纯形法下的开槽管型药柱恒面燃烧规律研究

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 0

Recommended Articles

Metrics

Comments