EI、Scopus 收录
中文核心期刊
Turn off MathJax
Article Contents
Zhao Xinxin, Shi Jinguang, Wang Zhongyuan, Zhang Ning. Dynamic stability and influence factors of the whole trajectory of fixed canard dual-spin projectiles. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1364-1374 doi: 10.6052/0459-1879-21-636
Citation: Zhao Xinxin, Shi Jinguang, Wang Zhongyuan, Zhang Ning. Dynamic stability and influence factors of the whole trajectory of fixed canard dual-spin projectiles. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1364-1374 doi: 10.6052/0459-1879-21-636

DYNAMIC STABILITY AND INFLUENCE FACTORS OF THE WHOLE TRAJECTORY OF FIXED CANARD DUAL-SPIN PROJECTILES

doi: 10.6052/0459-1879-21-636
  • Received Date: 2021-12-01
  • Accepted Date: 2022-02-20
  • Available Online: 2022-02-21
  • To research the dynamic stability of fixed canard dual-spin projectiles in full trajectory flight, the state space model of the complex attack angle motion is established under the condition of small attack angle, and the general condition that the real parts of the characteristic roots are all negative is derived by using the Hurwitz method. Based on the motion characteristics of the front body’s rolling angle before/after starting control, the dynamic stability criterion of fixed canard dual-spin projectiles under different flight conditions is proposed by using the stability analysis method of the conventional rotating projectiles, whose form is similar to that of the conventional rotating projectiles. When flying without control, the control force and moment terms of control canard are added correspondingly in the lift force and static moment terms. Controlled flight further increases the relative increment effect of relevant terms. Accordingly, the constraint on canard parameters of control surface is deduced under the condition that the parameters of projectile body are determined, the effects of the control force coefficient’s derivative, the installation position and the deflection angle of control canard on the dynamic stability are discussed, and the reasons for the formation of the dynamic instability of this kind of projectile are revealed. The simulation analysis results of the complex attack angle motion under different conditions show that when the relative increment caused by control surface is within the boundary of both uncontrolled and controlled flight, the full trajectory flight of the fixed canard dual-spin projectile is dynamically stable, which verifies that the dynamic stability criterion and the constraint on canard parameters deduced in this paper are reasonable and feasible, and provides a theoretical basis and design reference for the design and development of this type of projectile.

     

  • loading
  • [1]
    王中原, 史金光, 常思江等. 弹道修正弹技术发展综述. 弹道学报, 2021, 33(2): 1-12 (Wang Zhongyuan, Shi Jinguang, Chang Sijiang, et al. Review on development of technology of trajectory correction projectile. Journal of Ballistics, 2021, 33(2): 1-12 (in Chinese)
    [2]
    张民权, 刘东方, 王冬梅等. 弹道修正弹发展综述. 兵工学报, 2010, 31(S2): 127-130 (Zhang Minquan, Liu Dongfang, Wang Dongmei, et al. A summary for trajcectory correction projectiles. Acta Armamentarii, 2010, 31(S2): 127-130 (in Chinese)
    [3]
    Pettersson T, Buretta R, Cook D. Aerodynamics and flight stability for a course corrected artillery round//23rd International Symposium on Ballistics, Tarragona, Spain, 2007: 647-653
    [4]
    Regan FJ, Smith J. Aeroballistics of a terminally corrected spinning projectile (TCSP). Journal of Spacecraft and Rockets, 1975, 12(12): 733-738 doi: 10.2514/3.57041
    [5]
    Wernert P, Leopold F, Lehmann L. Wind tunnel tests and open-loop trajectory simulations for a 155 mm canards guided spin stabilized projectile, Honolulu, IA: AIAA, 2008. AIAA-2008-6881.
    [6]
    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. 弹箭与制导学报, 2012, 32(3): 171-173 (Hao Yongping, Meng Qingyu, Zhang Jiayi. Aerodynamic characteristic analysis on two-dimensional trajectory corrector shell with fixed-wing. Journal of Projectiles, Rockets, Missiles and Guidance, 2012, 32(3): 171-173 (in Chinese) doi: 10.3969/j.issn.1673-9728.2012.03.047
    [7]
    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. 北京理工大学学报, 2011, 31(3): 265-268 (Ji Xiuling, Wang Haipeng, Zeng Shiming, et al. CFD prediction of longitudinal aerodynamics for a spinning projectile with fixed canard. Transactions of Beijing Institute of Technology, 2011, 31(3): 265-268 (in Chinese)
    [8]
    冯斌, 于纪言, 鞠潭等. 双旋弹道修正弹弹体非对称载荷的数值研究. 兵工学报, 2018, 39(11): 2118-2126 (Feng Bin, Yu Jiyan, Ju Tan, et al. Numerical study of asymmetrical load on the body of dual-spin projectile. Acta Armamentarii, 2018, 39(11): 2118-2126 (in Chinese) doi: 10.3969/j.issn.1000-1093.2018.11.005
    [9]
    钟阳, 王良明, 李岩等. 旋转稳定二维修正弹鸭舵法向力计算模型研究. 弹道学报, 2019, 31(2): 48-54 (Zhong Yang, Wang Liangming, Li Yan, et al. Calculation model of normal force of canard on spin stabilized two-dimensional trajectory correction projectile. Journal of Ballistics, 2019, 31(2): 48-54 (in Chinese)
    [10]
    黄智康, 陈少松, 魏恺等. 固定鸭舵双旋火箭弹超声速侧向气动特性. 弹道学报, 2021, 33(1): 55-64 (Hang Zhikang, Chen Shaosong, Wei Kai, et al. Lateral aerodynamics of a fixed-canard dual-spin rocket projectile at supersonic speed. Journal of Ballistics, 2021, 33(1): 55-64 (in Chinese)
    [11]
    冯斌, 于纪言, 王晓鸣等. 固定鸭舵双旋火箭弹弹体绕流的数值研究. 弹道学报, 2021, 33(2): 21-27 (Feng Bin, Yu Jiyan, Wang Xiaoming, et al. Numerical study on the flow around dual-spin rocket projectile body. Journal of Ballistics, 2021, 33(2): 21-27 (in Chinese)
    [12]
    Costello M, Peterson A. Linear theory of a dual-spin projectile in atmospheric flight. Journal of Guidance, Control and Dynamic, 2000, 23(5): 789-797 doi: 10.2514/2.4639
    [13]
    常思江, 王中原, 刘铁铮. 鸭式布局双旋弹飞行动力学建模与仿真. 弹道学报, 2014, 26(3): 1-5, 16 (Chang Sijiang, Wang Zhongyuan, Liu Tiezheng. Modeling and simulation of flight dynamic for dual-spin stabilized projectile equipped with canards. Journal of Ballistics, 2014, 26(3): 1-5, 16 (in Chinese) doi: 10.3969/j.issn.1004-499X.2014.03.001
    [14]
    许诺, 于剑桥, 王亚飞等. 固定翼双旋弹动力学特性分析. 兵工学报, 2015, 36(4): 02-609 (Xu Nuo, Yu Jianqiao, Wang Yafei, et al. Analysis of dynamic characteristics of fixed-wing dual-spin projectiles. Acta Armamentarii, 2015, 36(4): 02-609 (in Chinese)
    [15]
    许诺, 于剑桥, 王亚飞. 固定翼双旋弹动力学分岔特性分析. 航空学报, 2015, 36(12): 3798-3808 (Xu Nuo, Yu Jianqiao, Wang Yafei. Dynamic bifurcation characteristics analysis on fixed-canard dual-spin projectiles. Acta Aeronautica et Astronautica Sinica, 2015, 36(12): 3798-3808 (in Chinese)
    [16]
    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. 航空学报, 2016, 36(9): 2892-2899 (Xu Nuo, Yu Jianqiao, Wang Yafei. Trajectory correct-ing method of fixed-canard of dual-spin projectiles based on period average. Acta Aeronautica et Astronautica Sinica, 2016, 36(9): 2892-2899 (in Chinese)
    [17]
    马国梁. 基于修正质点弹道模型的双旋弹控制效果分析. 北京理工大学学报, 2019, 39(8): 777-783 (Ma Guoliang. Control effect analysis of dual-spin projectile based on modified mass point trajectory model. Transactions of Beijing Institute of Technology, 2019, 39(8): 777-783 (in Chinese)
    [18]
    Theodoulis S, Gassmann V, Wernert P, et al. Guidance and control design for a class of spin-stabilized fin-controlled projectiles. Journal of Guidance, Control, and Dynamics, 2013, 36(2): 517-531 doi: 10.2514/1.56520
    [19]
    殷婷婷, 贾方秀, 于纪言等. 基于扩张状态观测器的双旋弹丸舵翼转速预测控制. 北京理工大学学报, 2019, 39(10): 1057-1062, 1068 (Yin Tingting, Jia Fangxiu, Yu Jiyan, et al. Direct model predictive rotating speed control for rudder in dual-spin projectile with output-feedback extended state observer. Transactions of Beijing Institute of Technology, 2019, 39(10): 1057-1062, 1068 (in Chinese)
    [20]
    殷婷婷, 贾方秀, 于纪言等. 基于改进LuGre摩擦模型的双旋弹丸固定舵翼滚转位置鲁棒自适应控制算法. 兵工学报, 2019, 40(12): 2425-2432 (Yin Tingting, Jia Fangxiu, Yu Jiyan, et al. Robust adaptive control of roll position of fixed rudder for dual-spin projectile with improved LuGre friction model. Acta Armamentarii, 2019, 40(12): 2425-2432 (in Chinese) doi: 10.3969/j.issn.1000-1093.2019.12.005
    [21]
    张鑫, 姚晓先. 固定翼双旋弹修正组件滚转控制研究. 北京理工大学学报, 2020, 40(4): 386-395 (Zhang Xin, Yao Wenxian. Roll control of course correction fuze for dual-spin projectile with fixed-canards. Transactions of Beijing Institute of Technology, 2020, 40(4): 386-395 (in Chinese)
    [22]
    冯斌, 于纪言, 王钰等. 固定鸭舵导引组件修正力模型改进及参数辨识. 兵工学报, 2019, 40(2): 257-264 (Feng Bin, Yu Jiyan, Wang Yu, et al. Improvement and parameter identification of correction force model for fixed-canard guidance kit. Acta Armamentarii, 2019, 40(2): 257-264 (in Chinese)
    [23]
    Wernert P, Theodoulis S. Modeling and stability analysis for a class of 155 mm spin-stabilized projectiles with course correction fuse (CCF)//Proceedings of AIAA Atmospheric Flight Mechanics Conference and Exhibit, Portland, OR, 2011
    [24]
    Chang SJ. Dynamic response to canard control and gravity for a dual-spin projectile. Journal of Spacecraft and Rockets, 2016, 53(3): 558-566 doi: 10.2514/1.A33485
    [25]
    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. 兵工学报, 2016, 37(5): 829-839 (Chang Sijiang, Wang Zhongyuan, Liu Tiezheng. A theoretical study of forced motion for dual-spin-stabilized projectiles with canards. Acta Armamentarii, 2016, 37(5): 829-839 (in Chinese) doi: 10.3969/j.issn.1000-1093.2016.05.009
    [26]
    朱煌, 史金光, 谢飞等. 高旋二维弹道修正弹的角运动特性. 弹道学报, 2020, 32(1): 23-30 (Zhu Huang, Shi Jinguang, Xie Fei, et al. Angular motion characteristics of high-rotation two-dimension trajectory correction projectile. Journal of Ballistics, 2020, 32(1): 23-30 (in Chinese)
    [27]
    赵新新, 史金光, 王中原等. 固定鸭舵双旋弹角运动特性与控制稳定性研究. 哈尔滨工业大学学报, 2022, 54(1): 123-131 (Zhao Xinxin, Shi Jinguang, Wang Zhongyuan, et al. Study on angular motion characteristics and control stability with the fixed canard dual-spin projectile. Journal of Harbin Institute of Technology, 2022, 54(1): 123-131 (in Chinese)
    [28]
    Zhu D, Tang S, Guo J, et al. Flight stability of a dual-spin projectile with canards. Proceedings of the Institute of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2015, 229(4): 703-716 doi: 10.1177/0954410014539293
    [29]
    马国梁, 蔡红明, 常思江. 固定鸭舵双旋弹动态稳定性分析. 兵工学报, 2019, 40(10): 1987-1994 (Ma Guoliang, Cai Hongming, CHANG Si-jiang. Analysis of dynamic stability of fixed canard dual-spin Projectile. Acta Armamentarii, 2019, 40(10): 1987-1994 (in Chinese)
    [30]
    李佳讯, 沈元川, 贾振岳等. 双旋弹非线性角运动特性分析. 弹箭与制导学报, 2021, 41(1): 1-7 (Li Jiaxun, Shen Yuanchuan, Jia Zhenyue, et al. Nonlinear angular motion analysis on dual-spin Projectile. Journal of Projectile,Rockets,Missiles and Guidance, 2021, 41(1): 1-7 (in Chinese)
    [31]
    韩子鹏. 弹箭外弹道学. 北京: 北京理工大学出版社, 2008

    Han Zipeng. Exterior Ballistics of Projectiles and Reckets. Beijing: Beijing Institute of Technology Press, 2008 (in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(10)  / Tables(1)

    Article Metrics

    Article views (372) PDF downloads(62) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return