Complex Analysis for Angular Motion of a Spinning Projectile with One Pair of Canards

CHEN Cheng;ZHAO Liangyu;XIE Haoyi;HAO Xiaobing

CN Submission Journal Articles Figures Search
Adv. Search

  • Sponsored by: China Association for Science and Technology (CAST)

    Editor-In-Chief: Xu Yida

    ISSN 1000-1093

    　

  • Hosted By: China Ordnance Society

    Published By: Acta Armamentarii

    CN 11-2176/TJ

Acta Armamentarii, a Chinese monthly journal, was first published in 1979. The journal is supervised by China Association for Science and Technology, sponsored by China Ordnance Society，and edited and published by Editorial Board of Acta Armamentarii. The Journal is included in all important domestic databases，and also collected by Engineering Index (EI, USA), Chemical Abstracts (CA, USA), Science Abstracts (SA, UK）, Abstract Journal (AJ, Russia), and Current Bibliography on Science and Technology(CBST).Acta Armamentarii has been selected into the journal Of Ordnance Science and Technology (Weapons Industry) Field Of High Quality Scientific and Technological Periodical Classification Catalogue (2022 edition), ranking T1, and the journal of Automotive Engineering Field of High Quality Scientific and technological Periodical classification Catalogue, ranking T2.
Acta Armamentarii ›› 2021, Vol. 42 ›› Issue (2) : 308-319. DOI: 10.3969/j.issn.1000-1093.2021.02.009
Paper

Complex Analysis for Angular Motion of a Spinning Projectile with One Pair of Canards

  • CHEN Cheng1, ZHAO Liangyu1, XIE Haoyi2, HAO Xiaobing1
Author information +
History +

Abstract

The stability of coning motion of spinning projectile with one pair of canards cannot be directly analyzed by the analytic method due to the aerodynamic asymmetry. The angular motion model and complex analysis method for the spinning projectile are studied. A complex angle-of-attack motion equation is established, and a scaling factor is introduced to the asymmetric aerodynamic term in the equation. On this basis, the analytical expressions of complex angle-of-attack motion equation under different actuator deflection angles are obtained. The convergence process, steady state and resonance of the model are analyzed. The validity of complex angle-of-attack motion equation is confirmed through numerical simulation, and the cause of resonance instability under sinusoidal actuator deflection is revealed.

Key words

spinningprojectile / singlechannel / angularmotion / stability / complexangleofattack

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
CHEN Cheng, ZHAO Liangyu, XIE Haoyi, HAO Xiaobing. Complex Analysis for Angular Motion of a Spinning Projectile with One Pair of Canards. Acta Armamentarii. 2021, 42(2): 308-319 https://doi.org/10.3969/j.issn.1000-1093.2021.02.009

References


［1］高庆丰. 旋转导弹飞行动力学与控制［M］. 北京: 中国宇航出版社, 2016.
GAO Q F. Flight dynamics and control of spinning missiles ［M］. Beijing: China Astronautic Publishing House, 2016. (in Chinese)

［2］任天荣, 马建敏. 旋转弹锥形运动发生区间及频率特性研究［J］. 固体火箭技术, 2014, 37(3): 295-300.
REN T R, MA J M. Research on activating region and frequency characteristics of coning motion for spinning missiles ［J］. Journal of Solid Rocket Technology, 2014, 37(3): 295-300. (in Chinese)
［3］段笑菊, 孙瑞胜, 白宏阳, 等. 锥形运动控制的导弹姿态稳定性分析［J］. 国防科技大学学报, 2015, 37(3): 97-103.
DUAN X J, SUN R S, BAI H Y, et al. Analysis on the altitude stability of missile with coning motion-based control ［J］. Journal of National University of Defense Technology, 2015, 37(3): 97-103. (in Chinese)
［4］陈亮, 刘荣忠, 郭锐, 等. 旋转尾翼弹箭极限圆锥运动稳定判据［J］. 兵工学报, 2019, 40(7): 1329-1339.
CHEN L, LIU R Z, GUO R, et al. Stability criteria for limiting conical motion of rotary fin-stablized projectiles ［J］. Acta Armamentarii, 2019, 40(7): 1329-1339. (in Chinese)
［5］MURPHYC H. Free flight motion of symmetric missiles: R1216［R］. Aberdeen Proving Ground, MD, US: The Ballistic Research Laboratory, 1963.
［6］徐明友. 用李雅普诺夫直接法建立弹箭飞行动稳定条件［J］. 南京理工大学学报, 2001, 25(1): 10-12.
XU M Y. Derivation of dynamical stability conditions of projectiles in flight by Lyapunov's direct method ［J］. Journal of Nanjing University of Science and Technology, 2001, 25(1): 10-12. (in Chinese)

［7］闫晓勇, 杨树兴, 张成. 基于章动运动理论的火箭弹锥形运动稳定性分析［J］. 兵工学报, 2009, 30(10): 1291-1296.
YAN X Y, YANG S X, ZHANG C. Analysis of stability for coning motion of rockets based on theory of nutation movement ［J］. Acta Armamentarii, 2009, 30(10): 1291-1296. (in Chinese)
［8］杨树兴, 赵良玉, 闫晓勇. 旋转弹动态稳定性理论［M］. 北京: 国防工业出版社, 2014.
YANG S X, ZHAO L Y, YAN X Y. Dynamic stability of spinning missiles ［M］. Beijing: National Defense Industry Press, 2014. (in Chinese)
［9］MURPHYC H. Angular motion of spinning almost-symmetric missiles ［J］. Journal of Guidance, Control, and Dynamics, 1979, 2(6):504-510.
［10］任天荣, 马建敏. 基于陀螺力学的旋转导弹锥形运动分析［J］. 宇航学报, 2010, 31(9): 2082-2087.
REN T R, MA J M. Coning motion analysis of spinning missile based on gyrodynamics ［J］. Journal of Astronautics, 2010, 31(9):2082-2087. (in Chinese)
［11］COOPERG, FRESCONI F, COSTELLO M. Flight stability of an asymmetric projectile with activating canards ［J］. Journal of Spacecraft and Rockets, 2012, 49(1): 130-135．
［12］石忠佼, 谢浩怡, 林蔚, 等. 单通道控制的旋转弹锥形运动稳定性研究［J］. 固体火箭技术, 2015, 38(2): 156-159.
SHI Z J, XIE H Y, LIN W, et al. Research on coning motion stability of a spinning missile with one pair of canards ［J］. Journal of Solid Rocket Technology, 2015, 38(2): 156-159. (in Chinese)
［13］XUY L, YUE B Z, YANG Z M. Study on the chaotic dynamics in yaw-pitch-roll coupling of asymmetric rolling projectiles with nonlinear aerodynamics ［J］. Nonlinear Dynamics, 2019, 97: 2739-2756.
［14］吴映锋, 钟扬威, 王良明. 旋转稳定二维弹道修正弹在固定舵作用下的角运动特性研究［J］. 兵工学报, 2017, 38(7): 18-27.
WU Y F, ZHONG Y W, WANG L M. Study on angular motion characteristics of spin-stabilized 2D trajectory correction projectile under the effect of fixed canards ［J］. Acta Armamentarii, 2017, 38(7): 18-27. (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］杨杰, 谢飞, 常思江, 等. 小口径旋转稳定弹在控制作用下的弹道特性［J］. 兵器装备工程学报, 2020, 41(11):40-45.
YANG J, XIE F, CHANG S J, et al. Trajectory characteristics of small caliber spin-stabilized projectile under control ［J］. Journal of Ordnance Equipment Engineering, 2020,41(11):40-45. (in Chinese)




第42卷第2期2021年2月
兵工学报ACTA ARMAMENTARII
Vol.42No.2Feb. 2021

344

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉