无伞末敏弹大攻角扫描运动稳定性分析
收稿日期: 2014-10-13
修回日期: 2015-02-21
网络出版日期: 2015-03-18
基金资助
国家自然科学基金 (11272356); 中国博士后科学基金 (2012M521842)
Analysis on kinetic stability for non-parachute terminal sensitive ammunition's scanning motion at large angle of attack
Received date: 2014-10-13
Revised date: 2015-02-21
Online published: 2015-03-18
Supported by
National Natural Science Foundation of China (11272356); China Postdoctoral Science Foundation (2012M521842)
针对无伞末敏弹稳态扫描时做大攻角圆运动的特点,求取了其在一般形式赤道阻尼力矩作用下攻角方程的近似解析解。在此基础上,运用振幅平面法分析了此种情况下的运动稳定性。结果表明:与在二次方赤道阻尼力矩作用下无伞末敏弹不可能形成稳定大攻角圆运动以实现稳态扫描不同,在考虑大攻角时赤道阻尼力矩不仅与攻角大小有关,还与攻角变化率有关,且章动阻尼与进动阻尼特性不同时,弹丸所受赤道阻尼力矩为一般形式的阻尼力矩情况下,无伞末敏弹可以形成稳定大攻角圆运动,并推导出了此种情况下实现稳态圆运动应满足的条件,给出了算例,为无伞末敏弹的结构设计和气动设计提供了理论参考。
舒敬荣 , 杨玉林 , 张婷 , 杨海波 . 无伞末敏弹大攻角扫描运动稳定性分析[J]. 航空学报, 2015 , 36(10) : 3411 -3417 . DOI: 10.7527/S1000-6893.2015.0051
Aimed at the characteristic of large angle of attack circular motion at stable scanning stage, the angle of attack equation's approximate analytical solution for non-parachute terminal sensitive ammunition is gained under the action of general-form equatorial damping moment. On this basis, the kinetic stability in this case is analyzed by the method of amplitude plane. The result shows that different from the fact that non-parachute terminal sensitive ammunition under the action of quadratic equatorial damping moment cannot form stable large angle of attack circular motion to realize stable scanning, the one which is under the action of general-form equatorial damping moment can do it, in which the fact that the equatorial damping moment is related not only to the angle of attack's amplitude but also to its change rate is considered, and the fact that nutation damping's feature is different from that of precession damping is also considered. Finally, the requirement to be satisfied to realize stable circular motion is deduced and the calculating example is given, which provide a theoretical reference for the structural and pneumatic design for non-parachute terminal sensitive ammunition.
[1] Vicente N M, Piechocki J, Cuerva A, et al.Experimental research on a vertically falling rotating wing decelerator model[C]//19th AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar.Reston: AIAA, 2007.
[2] Vicente N M, Angel S A, Alvaro C. Experimental investigation of an autorotating-wing aerodynamic decelerator system[C]//18th AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar. Reston: AIAA, 2005.
[3] Crimi P. Finite element analysis of a samara-wing decelerator[J]. Journal of Aircraft, 1996, 33(4): 793-802.
[4] Borgstrom D, Paulsson L, Karlsen L. Aerodynamics of a rotating body descending from the separation position of an artillery munition shell, AIAA-1991-0870[R]. Reston: AIAA, 1991.
[5] Shu J R. Study on the large angle of attack scanning characteristic of asymmetric terminal sensing submunition and its application[D]. Nanjing: Nanjing University of Science and Technology, 2004 (in Chinese). 舒敬荣. 非对称末敏子弹大攻角扫描特性研究及应用[D]. 南京: 南京理工大学, 2004.
[6] Shu J R, Zhang B C, Han Z P, et al. A study on the scanning motion of single-fin target sensitivity projectile[J]. Acta Armamentarii, 2004, 25(4): 415-420 (in Chinese). 舒敬荣, 张邦楚, 韩子鹏, 等. 单翼末敏弹扫描运动研究[J]. 兵工学报, 2004, 25(4): 415-420.
[7] Shu J R, Liu C Y, Han Z P, et al. Study on scanning motion of flexible single-fin terminal sensing ammunition[J]. Journal of Ballistics, 2004, 16(1): 36-42 (in Chinese). 舒敬荣, 刘昌源, 韩子鹏, 等. 柔性单翼末敏弹扫描运动研究[J]. 弹道学报, 2004, 16(1): 36-42.
[8] Gu J P, Han Z P. Comparison and analyses of single-fin TSA's and parachute TSA's scanning[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2011, 31(1): 123-124 (in Chinese). 顾建平, 韩子鹏. 单翼与有伞末敏子弹的扫描比较及分析[J]. 弹箭与制导学报, 2011, 31(1): 123-124.
[9] Gu J P, Han Z P. Application of quaternionin in single-fin terminal sensing ammunition scanning simulation[J]. Journal of Ballistics, 2010, 22(4): 15-18 (in Chinese). 顾建平, 韩子鹏. 四元数在单翼末敏弹扫描仿真中的应用[J]. 弹道学报, 2010, 22(4): 15-18.
[10] Wang A Z. The study on stable scanning characteristics of non-parachute terminal sensitive projectile[D]. Nanjing: Nanjing University of Science and Technology, 2008 (in Chinese). 王爱中. 无伞末敏弹稳态扫描特性研究[D]. 南京: 南京理工大学, 2008.
[11] Zhou S Y. Research on the model and calculation methods for the stable scanning of a terminal-sensitive projectile without parachute[D]. Nanjing: Nanjing University of Science and Technology, 2010 (in Chinese). 周思渊. 无伞末敏弹稳态扫描运动模型与计算方法研究[D]. 南京: 南京理工大学, 2010.
[12] Wang L X. Research on the design methods for the stable scanning of a terminal-sensitive ammunition without parachute[D]. Nanjing: Nanjing University of Science and Technology, 2013 (in Chinese). 王刘星. 双翼无伞末敏弹扫描运动设计方法研究[D]. 南京: 南京理工大学, 2013.
[13] Shi J G, Han Z P, Shu J R, et al. Stable scanning model for non-parachute terminal sensitive projectile with two fins[J]. Journal of Ballistics, 2010, 22(2): 24-27 (in Chinese). 史金光, 韩子鹏, 舒敬荣, 等. 双翼型无伞末敏弹稳态扫描运动数学模型[J]. 弹道学报, 2010, 22(2): 24-27.
[14] Shu J R, Jiang S P, Li M J, et al. Forces and moments analysis for double-win terminal sensing ammunition without parachute at the stage of stable-scanning[J]. Journal of Ballistics, 2010, 22(2): 48-51 (in Chinese). 舒敬荣, 蒋胜平, 李明军, 等. 无伞双翼末敏弹稳态扫描段受力分析[J]. 弹道学报, 2010, 22(2): 48-51.
[15] Hu Z P, Liu R Z, Guo R. Effect of two typical wing shapes on aerodynamic characteristics of non-parachute terminal sensitive projectile[J]. Journal of Nanjing University of Science and Technology, 2012, 36(5): 740-744 (in Chinese). 胡志鹏, 刘荣忠, 郭锐. 两种典型尾翼形状对无伞末敏弹气动特性的影响[J]. 南京理工大学学报, 2012, 36(5): 740-744.
[16] Hu Z P, Liu R Z, Guo R. The dual-wings terminal sensitive projectile bending angle effect on the aerodynamic characteristics[J]. Acta Aerodynamic Sinica, 2014, 32(1): 62-68 (in Chinese). 胡志鹏, 刘荣忠, 郭锐. 无伞末敏弹双S形尾翼弯折角对气动特性影响研究[J]. 空气动力学学报, 2014, 32(1): 62-68.
[17] Hu Z P, Liu R Z, Guo R. Aerodynamic characteristics of two wings terminal sensitive projectile based on FLUENT[J]. Flight Dynamics, 2013, 31(1): 53-56 (in Chinese). 胡志鹏, 刘荣忠, 郭锐. 基于FLUENT的双翼末敏弹气动特性研究[J]. 飞行力学, 2013, 31(1): 53-56.
[18] Lyu S T, Liu R Z, Guo R, et al. Optimum design on aerodynamic configuration of terminal sensitive projectile with S-C style wings[J]. Journal of Ballistics, 2014, 26(2): 6-11 (in Chinese). 吕胜涛, 刘荣忠, 郭锐, 等. S-C型双翼末敏弹尾翼结构方案设计[J]. 弹道学报, 2014, 26(2): 6-11.
[19] Lyu S T, Liu R Z, Guo R, et al. Optimum design on aerodynamic shape of the S-S style non-parachute terminal sensitive projectile[J]. Acta Armamentarii, 2013, 34(9): 1150-1154 (in Chinese). 吕胜涛, 刘荣忠, 郭锐, 等. S-S双翼末敏弹气动外形优化设计[J]. 兵工学报, 2013, 34(9): 1150-1154.
[20] Zhou Z C, Zhao R X, Han Z P, et al. The aerodynamic shape design and aerodynamic characteristics analysis of terminal sensing submunition[J]. Acta Aerodynamica Sinic, 2012, 31(1): 15-21 (in Chinese). 周志超, 赵润祥, 韩子鹏, 等. 末敏子弹气动外形设计与气动特性分析[J]. 空气动力学学报, 2012, 31(1): 15-21.
[21] Zhou Z C, Zhao R X, Han Z P, et al. Wind tunnel experimental investigation on aerodynamic characteristics of non-parachute terminal sensitive ammunition[J]. Journal of Experimental Mechanics, 2012, 27(2): 183-188 (in Chinese). 周志超, 赵润祥, 韩子鹏, 等. 无伞末敏弹气动特性风洞实验研究[J]. 实验力学, 2012, 27(2): 183-188.
[22] Han Z P. Exterior ballistics of projectile and rochet[M]. Beijing: Publishing House of Beijing Institute of Technology, 2008: 189-193, 296-302 (in Chinese). 韩子鹏. 弹箭外弹道学[M]. 北京: 北京理工大学出版社, 2008: 189-193, 296-302.
[23] Li C M, Liu Y X. Influence of unsymmetrical equatorial damp moment on long range rockets trajectory[J]. Journal of Ballistics, 2009, 21(2): 36-39 (in Chinese). 李臣明, 刘怡昕. 非对称赤道阻尼力矩对远程火箭弹道的影响[J]. 弹道学报, 2009, 21(2): 36-39.
/
| 〈 |
|
〉 |
CJA