近程防空导弹发动机推力方案优化研究
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摘要
以近程防空导弹为背景,探讨了双脉冲推进技术对导弹性能的提升效果。建立了飞行弹道的数学模型,给出了制导方法及推力模型,借用遗传优化算法,以扩大导弹近界至远界各典型弹道的末速度为优化目标,对各种推力方案下推力参数进行了优化。研究表明,相比于传统单级推力形式,双脉冲推力对近程导弹末速度提升明显;优化得到了使导弹末端机动性能最优的双脉冲推力方案,为近程防空导弹双脉冲发动机的设计提供了理论依据。
Based on short range antiaircraft missiles,the enhancement effect of dual pulse propulsion technology for missile performance is studied. The mathematical model of flight trajectory,guidance and thrust are built. Aiming at promoting the terminal velocity,the performance parameters of the engine with different propulsion schemes are optimized by genetic algorithm for each typical trajectory from near edge to far edge. According to the optimization,the terminal velocity of short range missiles is promoted more markedly by dual pulse propulsion than by traditional single stage propulsion; the optimal dual pulse thrust scheme of terminal maneuvering performance has been acquired. These results offer theoretical evidence for the design of dual pulse motor in short range antiaircraft missiles.
Based on short range antiaircraft missiles,the enhancement effect of dual pulse propulsion technology for missile performance is studied. The mathematical model of flight trajectory,guidance and thrust are built. Aiming at promoting the terminal velocity,the performance parameters of the engine with different propulsion schemes are optimized by genetic algorithm for each typical trajectory from near edge to far edge. According to the optimization,the terminal velocity of short range missiles is promoted more markedly by dual pulse propulsion than by traditional single stage propulsion; the optimal dual pulse thrust scheme of terminal maneuvering performance has been acquired. These results offer theoretical evidence for the design of dual pulse motor in short range antiaircraft missiles.
引文
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[14]钱杏芳,林瑞雄,赵亚男.导弹飞行力学[M].北京:北京理工大学出版社,2015:2-48.QIAN Xing-fang,LIN Rui-xiong,ZHAO Yan-nan.Dynamics of Flight for Missiles[M].Beijing:Beijing Institute of Technology Press,2015:2-48.
[15]雷英杰,张善文.MATLAB遗传算法工具箱及应用[M].西安:西安电子科技大学出版社,2014:1-2.LEI Ying-jie,ZHANG Shan-wen.MATLAB Genetic Alorithem Toolbox and Its Application[M].Xi’an:Xidian University Press,2014:1-2.
[2]NAUMANN KW,STADLER L,TROUILLOT P,et al.Double-Pulse Solid Rocket Technology at Bayern-Chemie/Protac[R].AIAA 2006-4761.
[3]STADLER L J,TROUILLOT P,RIENACKER C,et al.The Dual Pulse Motor for LFK NG[R].AIAA 2006-4726.
[4]龚世杰,戴耀松.多脉冲固体火箭发动机述评[J].飞航导弹,1993(1):32-39.GONG Shi-jie,DAI Yao-song.Review of Multi-Pulse Solid Rocket Motors[J].Winged Missiles Journal,1993(1):32-39.
[5]刘廷国,何洪庆.多脉冲能量控制在战术导弹中的作用[J].推进技术,1998,19(5):110-114.LIU Ting-guo,HE Hong-qing.Investigation of Application of Multi-Pulse Energy Control Technology to Tactical Missiles[J].Journal of Propulsion Technology,1998,19(5):110-114.
[6]JONES R A,MABRY M W.Barrier System for DualPulse Rocket Motor[P].United States Patent,4085584,1978.
[7]CARRIER J L C,CONSTANTINOU T,SHEA C J,et al.Solid Rocket Motor with Dual Interrupted Thrust:US,US4972673[P].1990.
[8]SCHILLING S,TROUILLOT P,WEIGAND A.On the Development and Testing of a 120 mm Calibre Double Pulse Motor(DPM)[R].AIAA 2004-3387.
[9]PHILIPS C.Energy Management for Multiple-Pulse Missiles[J].Journal of Spacecraft&Rockets,1990,27(6):623-629.
[10]张弫,成楚之,于本水.多次点火固体火箭发动机在面空导弹上的应用研究[J].现代防御技术,2001,29(5):31-33.ZHANG Zhen,CHENG Chu-zhi,YU Ben-shui.Research of the Application of Air Defense Missile with MultiPulse Solid Rocket Motor[J].Modern Defence Technology,2001,29(5):31-33.
[11]张弫,郑时镜,于本水.遗传算法在远程防空导弹总体优化设计中的应用[J].系统工程与电子技术,2003,25(1):34-37,60.ZHANG Zhen,ZHENG Shi-jing,YU Ben-shui.Application of the Genetic Algorithms in the Optimization Design of the Long-Range Air Defense Missile System[J].Systems Engineering and Electronics,2003,25(1):34-37,60.
[12]程仙垒,彭双春,郑伟,等.多约束条件下非连续助推弹道方案设计与优化[J].系统工程与电子技术,2015,37(4):888-894.CHENG Xian-lei,PENG Shuang-chun,ZHENG Wei,et al.Design and Optimization of Non-Continuous Boost Trajectory under Multi-Constrains[J].Systems Engineering and Electronics,2015,37(4):888-894.
[13]王志健,何国强,魏祥庚,等.空空导弹多脉冲固体火箭发动机能量分配优化研究[J].弹箭与制导学报,2010,30(6):144-146.WANG Zhi-jian,HE Guo-qiang,WEI Xiang-geng,et al.Energy Allocation Optimization of Multi-Pulse Solid Rocket Motor for Air-to-Air Missile[J].Journal of Projectiles,Rocket,Missiles and Guidance,2010,30(6):144-146.
[14]钱杏芳,林瑞雄,赵亚男.导弹飞行力学[M].北京:北京理工大学出版社,2015:2-48.QIAN Xing-fang,LIN Rui-xiong,ZHAO Yan-nan.Dynamics of Flight for Missiles[M].Beijing:Beijing Institute of Technology Press,2015:2-48.
[15]雷英杰,张善文.MATLAB遗传算法工具箱及应用[M].西安:西安电子科技大学出版社,2014:1-2.LEI Ying-jie,ZHANG Shan-wen.MATLAB Genetic Alorithem Toolbox and Its Application[M].Xi’an:Xidian University Press,2014:1-2.