多层光纤线包结构稳定性高效计算模型与分析

doi:10.12382/bgxb.2023.0559

摘要/Abstract

摘要：

光纤线包的结构稳定性显著影响光纤系统的服役状态,为解决以有限单元法为代表的数值分析方法,因光纤线包缠绕层数多、非线性强等因素导致的计算时间长、效率低等问题,根据光纤层间仅受压的特点建立光纤线包结构稳定性的高效计算模型,分析光纤的缠绕制度和线径的均匀程度对光纤线包结构稳定性的影响规律,给出线包失稳的线径均匀性临界值。研究结果表明:相比于有限元仿真,该模型在不损失计算精度的前提下计算效率可提升约100倍;等残余张力缠绕制度更有利于线包的结构稳定性;当线径的偏差值超过标准线径的±3%时,光纤位移急剧增大,严重影响光纤线包的结构稳定性;此研究对于多层光纤线包绕制工艺的实时分析和控制具有重要的意义。

关键词: 光纤线包, 稳定性, 高效计算模型, 等残余张力, 线径均匀性

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

中图分类号:

TJ765.4

李小东, 孟磊, 周平, 闫英. 多层光纤线包结构稳定性高效计算模型与分析[J]. 兵工学报, 2024, 45(8): 2554-2563.

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.

图/表 10

图1 紧密结构缠绕模型

Fig.1 Tight structure winding model

图2 线包模型的简化

Fig.2 Simplification of the cable package model

图3 光纤接触刚度的计算

Fig.3 Calculation of fiber contact stiffness

图4 接触状态的判断

Fig.4 Determination of contact state

图5 简化模型计算流程图

Fig.5 Flow chart of simplified model calculation

图6 有限元仿真模型及简化模型

Fig.6 Finite element simulation model and simplified model

图7 有限元模型与简化模型结果对比

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

图8 光纤缠绕张力的影响规律分析

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

图9 不同线径均匀性条件下的计算结果

Fig.9 Calculated results under different wire diameter uniformity conditions

图10 不同线径均匀性下光纤位移

Fig.10 Fiber displacement under different wire diameter uniformities

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