[an error occurred while processing this directive] [an error occurred while processing this directive] [an error occurred while processing this directive]
[an error occurred while processing this directive]

制导光纤高速释放中姿态与受力情况分析

  • 李明航 ,
  • 张卓 ,
  • 唐峰 ,
  • 薛耀辉 ,
  • 王嘉欣 ,
  • 牛大山
展开
  • 西安现代控制技术研究所,陕西 西安 710065

李明航(1992—),男,高级工程师,博士研究生,研究方向:无损检测。

收稿日期: 2023-01-10

  网络出版日期: 2024-12-28

基金资助

国家自然科学基金项目(U2241247)

Analysis of Posture and Tension of Guidance Optical Fiber in High Speed Release

  • LI Minghang ,
  • ZHANG Zhuo ,
  • TANG Feng ,
  • XUE Yaohui ,
  • WANG Jiaxin ,
  • NIU Dashan
Expand
  • Xi’an Modern Control Technology Research Institute,Xi’an 710065,Shaanxi,China

Received date: 2023-01-10

  Online published: 2024-12-28

摘要

光纤作为制导武器的信号传输介质,若发生断裂,导弹则失去控制无法飞行。由于实弹飞行成本高、周期长,为高效评价光纤的可靠性与抗拉强度等指标,光纤的地面模拟释放实验对检验光纤释放可靠性具有重要意义。针对制导光纤地面释放中的断线问题,根据光纤释放的运动特点,在旋转坐标系下推导出了光纤运动的动力学方程。基于光纤释放过程中绝大部分时间处于恒定速度释放这一特点,忽略时间变化项对动力学方程的影响,着重分析光纤“准稳态”情况下的光纤受力以及空间分布情况。通过数值方法求解了简化后的光纤姿态微分方程,利用高速摄影机拍摄了地面模拟释放实验中光纤的运动姿态,并与理论计算结果进行了对比。对比发现,光纤刚挣脱粘结剂进行运动时,理论计算结果与实际光纤运动姿态相差较大。光纤逐渐运动离开线包后,理论计算结果与光纤实际运动姿态逐渐相符。最后,考察了光纤初始方向向量、收线点处张力、释放点与收线点之间的距离以及光纤释放速度对光纤姿态、张力分布的影响。光纤高速释放中姿态与受力情况分析为光纤释放断裂事故分析以及提升光纤释放可靠性提供理论基础。

本文引用格式

李明航 , 张卓 , 唐峰 , 薛耀辉 , 王嘉欣 , 牛大山 . 制导光纤高速释放中姿态与受力情况分析[J]. 弹箭与制导学报, 2024 , 44(3) : 1 -10 . DOI: 10.15892/j.cnki.djzdxb.2024.03.001

Abstract

As the signal transmission medium of the guided weapon, if the optical fiber breaks, the missile will lose control and cannot fly. In order to evaluate the reliability and tensile strength of optical fiber efficiently, ground simulated release experiment of optical fiber is of great significance to test the reliability of optical fiber release because of the high cost and long period of live missile flight. In order to solve the problem of disconnection in ground release of guided optical fiber, the dynamic equation of optical fiber motion is derived in rotating coordinate system according to the motion characteristics of optical fiber release. Based on the fact that most of the release time of optical fiber is at a constant speed, the influence of time variation on the dynamic equation is ignored, and the stress and spatial distribution of optical fiber under the "quasi-steady state" condition are analyzed emphatically. The simplified differential equation of fiber attitude is solved by numerical method. The motion attitude of the optical fiber in experiment was captured by a high-speed camera and compared with the theoretical calculation results. It is found that when the optical fiber just breaks free of the package for movement, the theoretical calculation result is quite different from the actual optical fiber motion attitude. After the optical fiber gradually moves away from the package, the theoretical calculation results are gradually consistent with the actual motion attitude of the optical fiber. Finally, the effects of the initial direction vector, tension at the receiving point, the distance between the releasing point and the receiving point, and the releasing speed on the distribution of optical fiber attitude and tension were investigated. The motion attitude and force of the optical fiber are obtained by using the dynamics equation of optical fiber release, which provides a theoretical basis for the analysis of optical fiber release fracture accident and the improvement of optical fiber release reliability.

[an error occurred while processing this directive]
[1]
PADFIELD D G. The motion and tension of an unwinding thread[J]. Proceedings the Royal Society A, 1958, 245: 382-407.

[2]
PADFIELD D G. A note on the fluctuations of tension during unwinding[J]. Journal of the Textile Institute Transactions, 1956, 47: 301-308.

[3]
FRASER W B, GHOSH T K, BATRA S K. On unwinding yarn from a cylindrical package[J]. Proceedings the Royal Society A, 1992, 436: 479-498.

[4]
STANISLAV P, NACE P, GREGOR F, et al. Balloon theory of yarn during unwinding from package[J]. Textile Research Journal, 2016, 86(14): 1588-1599.

[5]
KOTHARI V K, LEAF G A V. The unwinding of yarns from package, part I: the theory of yarn-unwinding[J]. Journal of the Textile Institute Transactions, 1979, 70: 89-95.

[6]
KOTHARI V K, LEAF G A V. The unwinding of yarns from package, part II: unwinding from cylindrical packages[J]. Journal of the Textile Institute Transactions, 1979, 70: 96-104.

[7]
KOTHARI V K, LEAF G A V. The unwinding of yarns from package, part III: unwinding from conical packages[J]. Journal of the Textile Institute Transactions, 1979, 70: 172-183.

[8]
GODAWAT P. Experimental verification of non-linear behavior of over-end yarn unwinding from cylindrical packages[D]. Raleigh: North Carolina State University, 2003.

[9]
LEE J W, AN D W, et al. Derivation of equations of motion of an unwinding cable from a cylindrical spool package[J]. Journal of Mechanical Science and Technology, 2011, 25(5): 1287-1296.

[10]
LEE J W, KIM K W, KIM H R, et al. Prediction of unwinding behaviors and problems of cable from innerwinding spool dispensers[J]. Nonlinear Dynamics, 2012, 67(3): 1791-1809.

[11]
KIM K W, LEE J W, YOO W S. Effect of gravity and tangential air resistance on unwinding cable[J]. Nonlinear Dynamics, 2012, 70(1): 67-87.

[12]
KIM K W, LEE J W, YOO W S. Unwinding characteristics of thin cables for inner and outer dispensers[J]. Nonlinear Dynamics, 2013, 72(1): 333-351.

[13]
KIM K W, LEE J W, YOO W S. Verification of simulation for unwinding motion of cable in water by physical experiment[J]. Nonlinear Dynamics, 2014, 77(3): 553-568.

[14]
KIM K W, LEE J W, YOO W S. Unwinding motion of cable by taking into consideration effect of bending on cable, International Journal of Non-linear Mechanics[J]. Inter national Journal of Non-linear Mechanics, 2014, 65(1): 107-120.

[15]
JANG J S, KIM K W, LEE J W, et al. Study on boundary conditions considering unwinding velocity in transient unwinding equations of motion[J]. Journal of Mechanical Science and Technology, 2015, 29(7): 2587-2592.

[16]
JANG J S, KIM K W, KANG J H, et al. Derivation of equations of motion of an unwinding cable considering transient-state tensile force in time-varying unwinding velocity[J]. Nonlinear Dynamics, 2020, 100(1): 3199-3241.

[17]
杨帆. 制导光缆高速放线过程中受力测试技术研究[D]. 南京: 南京理工大学, 2004.

YANG F. Research on stress testing technology of guided optical cable during high-speed release[D]. Nanjing: Nanjing University of Science & Technology, 2004.

[18]
陈兴. 基于光纤放线姿态方程的力学模拟[D]. 南京: 南京理工大学, 2009.

CHEN X. Mechanical simulation based on optical fiber release posture equation[D]. Nanjing: Nanjing University of Science & Technology, 2009.

[19]
王荣, 李振华, 卞保民, 等. 放线光缆强弯曲状态建模与特征分析[J]. 空军工程大学学报(自然科学版), 2014, 15(2): 71-75.

WANG R, LI Z H, BIAN B M, et al. Modeling and characteristics analysis of strong bending state of fiber optical cable[J]. Journal of Air Force Engineering University (Natural Science Edition), 2014, 15(2): 71-75.

[20]
陈瑞宁, 陈静, 薛耀辉. 制导光纤缠绕缺陷与放线故障模式分析[J]. 弹箭与制导学报, 2018, 38(6): 33-36.

CHEN R N, CHEN J, XUE Y H. Analysis of the winding defect and paying off fault mode of guided optical fiber[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2018, 38(6): 33-36.

[21]
康葳蕤, 马保吉, 陈瑞宁. 光纤精密缠绕的缺陷及其原因分析[J]. 弹箭与制导学报, 2005, 25(4): 246-249.

KANG W R, MA B J, CHEN R N. Analyze of faculties and causes in the optical fiber precision winding[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2005, 25(4): 246-249.

[22]
JOHN H M, KURTIS D F. 数值方法(Matlab版)(第四版)[M]. 周璐, 陈渝, 钱方, 等,译. 北京: 电子工业出版社, 2017.

JOHN H M, KURTIS D F. Numerical methods using Matlab[M]. 4th ed. ZHOUL, CHENY, QIANF, et al, translated. Beijing: Publishing House of Electronics Industry, 2017.

文章导航

/

[an error occurred while processing this directive]