周期平均控制下固定翼双旋弹角运动特性分析
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摘要
针对应用在固定翼双旋弹上的一种周期平均控制方法,通过对弹体修正组件滚转角进行傅里叶变换,得到了双旋弹在周期平均控制下角运动方程的模型,进而分析了周期平均控制下固定翼双旋弹的角运动响应,并根据双旋弹角运动特性和执行机构的性能限制给出了周期平均控制角频率的设计方法。引进2种具体的周期平均控制方案作为分析对象,并通过六自由度弹道仿真进行了验证。结果表明,对固定翼双旋弹角运动响应的分析能够反映周期平均控制的特性,周期平均控制角频率的设计方法可以设计出合理的角频率。
To study the period average control method applied to the dual-spin projectile with fixed-canards,the Fourier transform of the roll angle of the course correction fuse is used to obtain the angular motion model for the dual-spin projectile under period average control.Then the angular motion of the dual-spin projectile with fixed-canards under period average control is analyzed.A design of the angular frequency of the period average control is proposed based on the performance of the angular motion and the performance limitations of the actuator.Two specific designs are analyzed and verified through six degrees of freedom simulations.The results indicate that the analyses of the angular motion of the dual-spin projectile with fixed-canards can reveal the properties of the period average control method,and the designed method can produce proper angular frequencies.
To study the period average control method applied to the dual-spin projectile with fixed-canards,the Fourier transform of the roll angle of the course correction fuse is used to obtain the angular motion model for the dual-spin projectile under period average control.Then the angular motion of the dual-spin projectile with fixed-canards under period average control is analyzed.A design of the angular frequency of the period average control is proposed based on the performance of the angular motion and the performance limitations of the actuator.Two specific designs are analyzed and verified through six degrees of freedom simulations.The results indicate that the analyses of the angular motion of the dual-spin projectile with fixed-canards can reveal the properties of the period average control method,and the designed method can produce proper angular frequencies.
引文
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[18]郭致远,姚晓先,张鑫.基于周期平均的固定舵双旋火箭弹控制方法[J].航空学报,2017,38(12):321307.GUO Z Y,YAO X X,ZHANG X.Control method for a class of fixed-canard dual-spin rockets based on period average[J].Acta Aeronautica et Astronautica Sinica,2017,38(12):321307(in Chinese).
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[2]HAMEL N,GAGNON E.CFD and parametric study on a155 mm artillery shell equipped with a roll-decoupled course correction fuze[C]∥29th AIAA Applied Aerodynamics Conference.Reston,VA:AIAA,2011:1-10.
[3]曹红锦.美国精确制导组件技术发展现状分析[J].四川兵工学报,2015,36(9):22-25.CAO H J.Analysis of the development status of American precision guidance kit technology[J].Journal of Sichuan Ordnance,2015,36(9):22-25(in Chinese).
[4]COSTELLO M,PETERSON A.Linear theory of a dualspin projectile in atmospheric flight[J].Journal of Guidance,Control,and Dynamics,2000,23(5):789-797.
[5]WERNERT P,LEOPOLD F,LEHMANN L,et al.Wind tunnel tests and open-loop trajectory simulations for a 155mm canards guided spin stabilized projectile[C]∥AIAA Atmospheric Flight Mechanics Conference and Exhibit.Reston,VA:AIAA,2008:1-17.
[6]WERNERT P.Stability analysis for canard guided dualspin stabilized projectiles[C]∥AIAA Atmospheric Flight Mechanics Conference and Exhibit.Reston,VA:AIAA,2009:1-24.
[7]WERNERT P,THEODOULIS S.Modelling and stability analysis for a class of 155 mm spin-stabilized projectiles with course correction fuse(CCF)[C]∥AIAA Atmospheric Flight Mechanics Conference and Exhibit.Reston,VA:AIAA,2011:1-14.
[8]THEODOULIS S,WERNERT P.Flight control for a class of 155 mm spin-stabilized projectiles with course correction fuse(CCF)[C]∥AIAA Guidance,Navigation,and Control Conference.Reston,VA:AIAA,2011:1-11.
[9]THEODOULIS S,GASSMANN V,WERNERT P.Guidance and control design for a class of spin-stabilized fin-controlled projectiles[J].Journal of Guidance,Control,and Dynamics,2013,36(2):517-531.
[10]THEODOULIS S,SEVE F,WERNERT P.Robust gainscheduled autopilot design for spin-stabilized projectiles with a course-correction fuze[J].Aerospace Science and Technology,2015,42:477-489.
[11]SEVE F,THEODOULIS S,WERNERT P,et al.Flight dynamics modeling of dual-spin guided projectiles[J].IEEE Transactions on Aerospace and Electronic Systems,2017,53(4):1625-1641.
[12]CHANG S J,WANG Z Y,LIU T Z.Analysis of spinrate property for dual-spin-stabilized projectiles with canards[J].Journal of Spacecraft and Rockets,2014,51(3):958-966.
[13]许诺,于剑桥,王亚飞,等.固定翼双旋弹动力学特性分析[J].兵工学报,2015,36(4):602-609.XU N,YU J Q,WANG Y F,et al.Analysis of dynamic characteristics of fixed-wing dual-spin projectiles[J].Acta Armamentarii,2015,36(4):602-609(in Chinese).
[14]许诺,于剑桥,王亚飞.固定翼双旋弹动力学分岔特性分析[J].航空学报,2015,36(12):3798-3808.XU N,YU J Q,WANG Y F.Dynamic bifurcation characteristics analysis on fixed-canard dual-spin projectiles[J].Acta Aeronautica et Astronautica Sinica,2015,36(12):3798-3808(in Chinese).
[15]常思江,王中原,刘铁铮.鸭式布局双旋稳定弹强迫运动理论研究[J].兵工学报,2016,37(5):829-839.CHANG S J,WANG Z Y,LIU T Z.A theoretical study of forced motion for dual-spin-stabilized projectiles with canards[J].Acta Armamentarii,2016,37(5):829-839(in Chinese).
[16]张冬旭.可控滚转二维弹道修正机构的研究[D].北京:北京理工大学,2015:19-39.ZHANG D X.Research on the rolling controlled two-dimensional trajectory correction mechanism[D].Beijing:Beijing Institute of Technology,2015:19-39(in Chinese).
[17]许诺,于剑桥,王亚飞.基于周期平均的固定翼双旋弹弹道修正方法[J].航空学报,2015,36(9):2892-2899.XU N,YU J Q,WANG Y F.Trajectory correcting method of fixed-canard dual-spin projectiles based on period average[J].Acta Aeronautica et Astronautica Sinica,2015,36(9):2892-2899(in Chinese).
[18]郭致远,姚晓先,张鑫.基于周期平均的固定舵双旋火箭弹控制方法[J].航空学报,2017,38(12):321307.GUO Z Y,YAO X X,ZHANG X.Control method for a class of fixed-canard dual-spin rockets based on period average[J].Acta Aeronautica et Astronautica Sinica,2017,38(12):321307(in Chinese).
[19]韩子鹏.弹箭外弹道学[M].北京:北京理工大学出版社,2008:127-149.HAN Z P.Exterior ballistics of projectiles and rockets[M].Beijing:Beijing Institute of Technology Press,2008:127-149(in Chinese).
[20]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,2008:53-55.QIAN X F,LIN R X,ZHAO Y N.Missile flight mechanics[M].Beijing:Beijing Institute of Technology Press,2008:53-55(in Chinese).