Fluid Mechanics and Flight Mechanics

Trajectory correcting method of fixed-canard dual-spin projectiles based on period average

  • XU Nuo ,
  • YU Jianqiao ,
  • WANG Yafei
Expand
  • School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received date: 2014-10-09

  Revised date: 2014-12-18

  Online published: 2015-01-12

Supported by

National Natural Science Foundation of China (61350010)

Abstract

A trajectory correcting scheme in which the value of the average control force can be regulated is made for a fixed-canard dual-spin projectile which is spin-stabilized. Hereby the guidance and control system of the projectiles is devised. Based on the high-speed rotation characteristic of fixed-canard dual-spin projectiles, the angular motion equation is simplified, and the angular motion is analyzed. Then the relation between the resultant normal force and the deflection angle of canards is obtained. Afterwards, a trajectory correcting method, whose trajectory correction component rote in diverse rotational speed or diverse amplitude to produce the average normal force whose value is controllable, is proposed based on the concept of period average. And the feasibility of the method is validated by 6-DOF ballistic simulation. The results indicate that, compared with the traditional method whose trajectory correction component is fixed, the new trajectory correcting method can continuously control the value and direction of the average normal force, thus the guidance and control of fixed-canard dual-spin projectiles is realized so as to eliminate the trajectory deviation and improve the precision.

Cite this article

XU Nuo , YU Jianqiao , WANG Yafei . Trajectory correcting method of fixed-canard dual-spin projectiles based on period average[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(9) : 2892 -2899 . DOI: 10.7527/S1000-6893.2014.0354

References

[1] Lei J M, Wu J S. Aerodynamic configuration design for extended range guided munition[J]. Acta Aeronautica et Astronautica Sinica, 2005, 26(3): 294-297 (in Chinese). 雷娟棉, 吴甲生. 增程制导炮弹气动外形设计[J]. 航空学报, 2005, 26(3): 294-297.
[2] Chen Q, Wang Z Y, Chang S J, et al. Optimal trajectory design under uncertainly for a gliding guided projectile[J].Acta Aeronautica et Astronautica Sinica, 2014, 35(9): 2593-2604 (in Chinese). 陈琦, 王中原, 常思江,等. 不确定飞行环境下的滑翔制导炮弹方案弹道优化[J]. 航空学报, 2014, 35(9): 2593-2604.
[3] Zhang M Q, Liu D F, Wang D M, et al. A summary for trajectory correction projectiles[J]. Acta Armamentarii, 2010, 32(2): 127-130 (in Chinese). 张民权, 刘东方, 王冬梅, 等. 弹道修正弹发展综述[J]. 兵工学报, 2010, 32(2): 127-130.
[4] Gagnon E, Lauzon M. Course correction fuze concept analysis for in-service 155 mm spin-stabilized gunnery projectiles[C]//AIAA Guidance, Navigation and Control Conference and Exhibit. Reston: AIAA, 2008: 1-20.
[5] Pettersson T, Buretta R, Cook D. Aerodynamics and flight stability for a course corrected artillery round[C]//Proceedings of the 23rd International Symposium on Ballistics. Tarragona, Spain: International Ballistics Committee, 2007: 647-653.
[6] Wang Z G, Li W, Zhang Z N. Dynamics modeling of guided dual-spin rocket[J]. Acta Armamentarii, 2013, 34(7): 910-915 (in Chinese). 王志刚, 李伟, 张振宁. 双旋制导火箭弹动力学建模[J]. 兵工学报, 2013, 34(7): 910-915.
[7] Reg F J, Smith J. Aeroballistics of a terminally corrected spinning projectile (TCSP)[J]. Journal of Spacecraft and Rockets, 1975, 12(12): 733-738.
[8] Costello M, Peterson A. Linear theory of a dual-spin projectile in atmospheric flight[J]. Journal of Guidance, Control, and Dynamics, 2000, 23(5): 789-797.
[9] Rogers J, Costello M. Design of a roll-stabilized mortar projectile with reciprocating canards[J]. Journal of Guidance, Control, and Dynamics, 2010, 33(4): 1026-1034.
[10] Theodoulis S, Gassmann V, Wernert P, et al. 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.
[11] Wernert P, Theodoulis S. Modelling and stability analysis of the 155 mm spin-stabilised projectile equipped with course correction fuse(CCF)[J]. International Journal of Modelling, Identification and Control, 2011, 14(3): 189-204.
[12] 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: AIAA, 2011: 1-10.
[13] Wernert P. Stability analysis for canard guided dual-spin stabilized projetiles[C]//Proceedings of the AIAA Atmospheric Flight Mechanics Conference and Exhibit. Reston: AIAA, 2009: 1-24.
[14] Lloyd K H, Brown D P. Instability of spinning projectiles during terminal guidance[J]. Journal of Guidance, Control, and Dynamics, 1979, 2(1): 65-70.
[15] Cloutier G J. Stable rotation states of dual-spin spacecraft[J]. Journal of Spacecraft and Rockets, 1968, 5(4): 490-492.
[16] Likins P W. Attitude stability criteria for dual spin spacecraft[J]. Journal of Spacecraft and Rockets, 1967, 4(12): 1638-1643.
[17] Ji X L, Wang H P, Zeng S M, et al. CFD prediction of longitudinal aerodynamics for a spinning projectile with fixed canard[J]. Transactions of Beijing Institute of Technology, 2011, 31(3): 265-268 (in Chinese). 纪秀玲, 王海鹏, 曾时明, 等. 可旋转鸭舵对旋转弹丸纵向气动特性的影响[J]. 北京理工大学学报, 2011, 31(3): 265-268.
[18] Hao Y P, Meng Q Y, Zhang J Y. Aerodynamic characteristic analysis on two-dimensional trajectory corrector shell with fixed-wing[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2012, 32(3): 171-173 (in Chinese). 郝永平, 孟庆宇, 张嘉易. 固定翼二维弹道修正弹气动特性分析[J]. 弹箭与制导学报, 2012, 32(3): 171-173.
[19] Han Z P. Rocket exterior ballistics [M]. Beijing: Beijing Institute of Technology Press: 2008: 145-149 (in Chinese). 韩子鹏. 弹箭外弹道学[M]. 北京: 北京理工大学出版社, 2008: 145-149.
[20] Qian X F, Lin R X, Zhao Y N. Missile flight mechanics[M]. Beijing: Beijing Institute of Technology Press, 2008:53-55 (in Chinese). 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.
Outlines

/