全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
弹道学报  2015 

弹箭非线性角运动周期解稳定性分析

Keywords: 火箭弹外弹道,非线性运动,打靶法

Full-Text   Cite this paper   Add to My Lib

Abstract:

为了分析和计算弹箭非线性角运动周期解的稳定性,推导了弹箭的非线性角运动方程组。以某型火箭弹高原试验为例,计算了立方马格努斯力矩系数取不同值时的角运动相图和庞加莱截面图;通过Poincare映射计算了线性马格努斯力矩系数作为分岔参数时的分岔图;利用推广的打靶法计算了角运动周期解的幅值和周期,结合Floquet理论分析了周期解的稳定性。结果表明,在高空低密度的情况下,考虑非线性马格努斯力矩系数后,当马格努斯力矩系数达到一定范围时,火箭弹角运动由零平衡位置分岔出稳定的周期运动。

References

[1]  李臣明,刘怡昕.转速闭锁对远程弹箭的影响[J].弹道学报,2010,22(1):45-48.
[2]  LI Chen-ming,LIU Yi-xin.Effect of roll locking on long-range missile[J].Journal of Ballistics,2010,22(1):45-48.(in Chinese)
[3]  MOROTE J,LIANO G.Stability analysis and flight trials of a clipped wrap around fin configuration[C]//AIAA Atmospheric Flight Mechanics Conference and Exhibit.Providence,Rhode Island:AIAA,2004.
[4]  王华毕,吴甲生.火箭弹锥形运动的数学仿真与抑制措施[J].北京理工大学学报,2007,27(3):196-199.
[5]  WANG Hua-bi,WU Jia-sheng.Coning motion of rockets,its numerical simulation and restraint[J].Transactions of Beijing Institute of Technology,2007,27(3):196-199.(in Chinese)
[6]  王华毕,吴甲生.火箭弹锥形运动稳定性分析[J].兵工学报,2008,29(5):562-566.
[7]  WANG Hua-bi,WU Jia-sheng.The coning motion stability analysis of rocket[J].Acta Armamentarii,2008,29(5):562-566.(in Chinese)
[8]  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):1 291-12 96.
[9]  YAN Xiao-yong,YANG Shu-xing,ZHANG Cheng.Analysis of stability for coning motion of rockets based on theory of nutation movement[J].Acta Armamentarii,2009,30(10):1 291-1 296.(in Chinese)
[10]  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.
[11]  LI Chen-ming,LIU Yi-xin.Effect of roll locking on long-range missile[J].Journal of Ballistics,2009,21(2):36-39.(in Chinese)
[12]  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):2 082-2 087.
[13]  REN Tian-rong,MA Jian-min.Coning motion analysis of spinning missile based on gyro dynamics[J].Journal of Astronautics,2010,31(9):2 082-2 087.(in Chinese)
[14]  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.
[15]  REN Tian-rong,MA Jian-min.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)
[16]  李克勇,赵良玉,周伟.一类旋转弹在高空中的锥形运动稳定性[J].动力学与控制学报,2012,10(3):239-243.
[17]  LI Ke-yong,ZHAO Liang-yu,ZHOU Wei.Stability of conig motion of spinning rocket projectiles at high altitude[J].Journal of Dynamic and Control,2012,10(3):239-243.(in Chinese)
[18]  韩子鹏.弹箭外弹道学[M].北京:北京理工大学出版社,2014.
[19]  HAN Zi-peng.Exterior ballistics of projectiles and rockets[M].Beijing:Beijing Institute of Technology Press,2014.(in Chinese)
[20]  ROBERT L.Modern exterior ballistics[M].Atglen,Pennsylvania:Schiffer Publishing Ltd,1999:273-298.
[21]  吴志强,张建伟.二元机翼极限环颤振复杂分岔[J].工程力学,2008,25(2):52-56.
[22]  WU Zhi-qiang,ZHANG Jian-wei.Complicated bifurcation in limit cycle flutter of two dimensional airfoil[J].Engineering Mechanics,2008,25(2):52-56.(in Chinese)
[23]  ROOSE D,LUST K,CHAMPENEYS A.A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems[J].Chaos,Solitons & Fractals,1995,5(10):1 913-1 925.
[24]  李德信,徐健学.求解非线性动力系统周期解推广的打靶法[J].应用力学学报,2003,20(4):80-86.
[25]  LI De-xin,XU Jian-xue.The generalized shooting method for solving the periodic solutions of nonlinear dynamical system[J].Journal of Applied Mechanics,2003,20(4):80-86.(in Chinese)
[26]  张家忠.非线性动力系统的运动稳定性、分岔理论及其应用[M].西安:西安交通大学出版社,2010.
[27]  ZHANG Jia-zhong.Motion stability,bifurcation theory and its application of nonlinear dynamical systems[M].Xi’an:Xi’an Jiao Tong University Press,2010.(in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133