Efficient Computational Model and Analysis of Structural Stability of Multi-layered Fiber Optic Cable Package

doi:10.12382/bgxb.2023.0559

Abstract

Abstract:

The structural stability of fiber optic cabke package has a significant impact on the service status of fiber optic systems. To address the issues of long computation time and low efficiency of numerical analysis methods like finite element analysis due to strong nonlinearity and more winding layers of fiber optic cable package, an efficient computational model is established to analyze the structural stability of fiber optic cable packages. This model is used to analyze the effects of fiber optic winding patterns and uniformity of wire diameter on package structural stability. The critical values are provided for the wire diameter and uniformity that lead to the instability of fiber optic cable package. It is shown that this model improves the computational efficiency by approximately 100 times without sacrificing the computational accuracy compared to the finite element method. The "consistent residual tension" winding pattern enhances package structural stability. When the deviation of wire diameter exceeds ±3% of the standard wire diameter, the fiber displacement increases sharply, seriously impacting the package structural stability. This study holds significance for real-time analysis and control of multilayer fiber optic winding processes.

Key words: fiber optic cable package, stability, efficient computational model, consistent residual tension, wire diameter uniformity

CLC Number:

TJ765.4

LI Xiaodong, MENG Lei, ZHOU Ping, YAN Ying. Efficient Computational Model and Analysis of Structural Stability of Multi-layered Fiber Optic Cable Package[J]. Acta Armamentarii, 2024, 45(8): 2554-2563.

Figures/Tables 10

Fig.1 Tight structure winding model

Fig.2 Simplification of the cable package model

Fig.3 Calculation of fiber contact stiffness

Fig.4 Determination of contact state

Fig.5 Flow chart of simplified model calculation

Fig.6 Finite element simulation model and simplified model

Fig.7 Comparison of radial and axial displacements and calculation times of finite element model and simplified model

Fig.8 Analysis of the influence law of fiber winding tension

Fig.9 Calculated results under different wire diameter uniformity conditions

Fig.10 Fiber displacement under different wire diameter uniformities

References 29

[1]	米志东. 光纤技术在通信工程中的应用与研究[J]. 中国新通信, 2020, 22(21):88-89.
	MI Z D. Application and research of fiber optic technology in communication engineering[J]. China New Telecommunications, 2020, 22(21):88-89. (in Chinese)
[2]	郝婕, 李云霞, 赵尚弘. 光纤陀螺中的关键技术分析[J]. 激光杂志, 2007, 28(6):67-68.
	HAO J, LI Y X, ZHAO S H. The analysis of key technique in fiber optic gyro[J]. Laser Journal, 2007, 28(6):67-68. (in Chinese)
[3]	高卓, 汤伟江, 朱云周, 等. 微细光缆在水下航行器中的应用及关键技术综述[J]. 水下无人系统学报, 2017, 25(6):385-395.
	GAO Z, TANG W J, ZHU Y Z, et al. Overview of applications of fiber optic micro-cable in undersea vehicle and key technologies[J]. Journal of Unmanned Undersea Systems, 2017, 25(6):385-395. (in Chinese)
[4]	李辉, 许葆华, 李永军, 等. 光纤制导技术的发展与应用研究[J]. 导航定位与授时, 2015, 2(5):5-8.
	LI H, XU B H, LI Y J, et al. Research on the development and application of fiber optic guidance technology[J]. Navigation Positioning and Timing, 2015, 2(5):5-8. (in Chinese)
[5]	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, 42.
	CHEN R N, CHEN J, XUE Y H. Analysis of the winding defect and payingoff fault mode of guided optical fiber[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2018, 38(6):33-36, 42. (in Chinese)
[6]	汤伟江, 刘卫东, 高卓, 等. 潜水器用光纤线团应力分布及影响因素[J]. 兵工学报, 2021, 42(5):1053-1064. doi: 10.3969/j.issn.1000-1093.2021.05.018
	TANG W J, LIU W D, GAO Z, et al. Stress distribution and influence factors of fiber-optic coil for unmanned submersible vehicle[J]. Acta Armamentarii, 2021, 42(5):1053-1064. (in Chinese) doi: 10.3969/j.issn.1000-1093.2021.05.018
[7]	PADFIELD D G. The motion and tension of an unwinding thread. I[J]. Proceedings of the Royal Society A. Mathematical and Physical Sciences, 1958, 245(1242): 382-407.
[8]	FIGUEROA L, HONG C S, HUGGINS R W, et al. Fiber optics for military aircraft flight systems[J]. IEEE the Magazine of Lightwave Communications Systems, 1991, 2(1):52-65.
[9]	杨帆, 王宇东, 马保吉, 等. 光纤线包固化残余应变应力与变形数值模拟[J]. 弹箭与制导学报, 2023, 43(2):12-19.
	YANG F, WANG Y D, MA B J, et al. Residual stress-strain and numerical simulation of deformation on fiber optic cable package curing[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2023, 43(2): 12-19. (in Chinese)
[10]	李甜. 制导光纤线包结构的参数化设计及优化[D]. 西安: 西安工业大学, 2022.
	LI T. Parametric design and optimization of fiber optic guidance package's structure[D]. Xi'an: Xi'an Technological University, 2022. (in Chinese)
[11]	孙冬, 马保吉, 武民洛. 光纤缠绕中张力和滞后角对缠绕图样的影响及其分析[J]. 弹箭与制导学报, 2005, 25(增刊9):250-252.
	SUN D, MA B J, WU M L. The analysis of tension and lag angle's influence on pattern in optical fiber automatic winding[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2005, 25(S9):250-252. (in Chinese)
[12]	HUNG J Y, WHITE H V. Precision winding of fiber optic filament. I. winding characteristics[J]. IEEE Transactions on Industrial Electronics, 1992, 39(3):258-267.
[13]	康葳蕤, 马保吉, 武民洛, 等. 光纤缠绕走向及其匝间间隙分析[J]. 弹箭与制导学报, 2007(1):283-286.
	KANG W R, MA B J, WU M L, et al. Analyses of the clearance of optical fiber loops and the orientation which winding optical fiber tends towards[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2007(1): 283-286. (in Chinese)
[14]	JIA M, YANG G L. Research of optical fiber coil winding model based on large-deformation theory of elasticity and its application[J]. Chinese journal of Aeronautics, 2011, 24(5): 640-647.
[15]	胡君良, 马恒坚, 崔得东. 制导光缆线包中光缆受力分析与线轴设计[J]. 光通信研究, 1997(3): 35-39.
	HU J L, MA H J, CUI D D. Force analysis on optical fiber cable in the control and guide cable pack and design of spool[J]. Study on Optical Communications, 1997(3):35-39. (in Chinese)
[16]	BÖNIG J, BICKEL B, SPAHR M, et al. Simulation of orthocyclic windings using the linear winding technique[C]// Proceedings of the 2015 5th International Electric Drives Production Conference. Nuremberg, Germany: IEEE, 2015:1-6.
[17]	DOBROSCHKE A. Flexible automatisierungslösungen für die fertigung wickeltechnischer produkte[M]. Erlangen, Freistaat Bayern, Germany: Meisenbach Verlag Bamberg, 2011.
[18]	徐闪闪. 远距离等应力光纤线包缠绕张力制度设计[D]. 西安: 西安工业大学, 2015.
	XU S S. Isostress winding tension system design of long distance fiber on a bobbin[D]. Xi'an: Xi'an Technological University, 2015. (in Chinese)
[19]	GE S C, GUO C X, YANG R F. Thermal stress on fiber coils with different winding patterns[J]. Optical Fiber Technology, 2020, 58: 102307.
[20]	RUFFIN P B. Review of fiber optics technology for military applications[J]. Novel Materials and Crystal Growth Techniques for Nonlinear Optical Devices: A Critical Review, 2000, 10299: 2-25.
[21]	邱启荣. 矩阵论与数值分析[M]. 第2版. 北京: 清华大学出版社, 2013.
	QIU Q R. Matrix theory and numerical analysis[M]. 2nd ed. Beijing: Tsinghua university press, 2013. (in Chinese)
[22]	杨桂通. 弹性力学简明教程[M]. 第2版. 北京: 清华大学出版社, 2013.
	YANG G T. Introduction to elasticity[M]. 2nd ed. Beijing: Tsinghua University Press, 2013. (in Chinese)
[23]	TIMOSHENKO B S. Theory of elastic stability[M]. New York, NY, US: McGraw-Hill Book Company, 1961.
[24]	康超, 史耀耀, 何晓东, 等. 具有厚壁内衬圆筒的缠绕张力算法[J]. 工程力学, 2016, 33(2):200-208.
	KANG C, SHI Y Y, HE X D, et al. Algorithm of winding tension for cylinder with thick-walled liner[J]. Engineering Mechanics, 2016, 33(2): 200-208. (in Chinese)
[25]	邢静忠, 梁清波, 刘成旭, 等. 圆柱形厚壁缠绕件的环向缠绕张力分析的逐层叠加法[J]. 固体火箭技术, 2015, 38(2):261-266, 272.
	XING J Z, LIANG Q B, LIU C X, et al. Analysis of winding tension for hoop winding on deformable thick-walled cylinder with superposition by layers[J]. Journal of Solid Rocket Technology, 2015, 38(2):261-266, 272. (in Chinese)
[26]	WU D H, CHEN C, YANG X M, et al. Optimization of taper winding tension in roll-to-roll web systems[J]. Textile Research Journal, 2014, 84(20): 2175-2183.
[27]	张海荣, 吴德会, 聂均, 等. 一种大卷装带材收卷过程中张力控制的优化设计方法[J]. 测控技术, 2011, 30(4): 38-42.
	ZHANG H R, WU D H, NIE J, et al. Optional design of control tension in winding process for large wound roll[J]. Measurement & Control Technology, 2011, 30(4): 38-42. (in Chinese)
[28]	屈锋. 制导光纤线包缠绕工艺仿真[D]. 西安: 西安工业大学, 2021.
	QU F. Simulation of winding process of guidance optical fiber[D]. Xi'an: Xi'an Technological University, 2021. (in Chinese)
[29]	HASHIMOTO H. Optimization of wind-up tension of webs preventing wrinkles and slippage[J]. Journal of Manufacturing Science and Engineering, 2009, 131(5):054501.