基于Timoshenko梁理论的碳纤维芯导线压接区挠度计算方法
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作者单位:

1.新疆工程学院数理学院,乌鲁木齐830023;2.新疆大学机械工程学院,乌鲁木齐 830047

作者简介:

通讯作者:

王宏,男,副教授,E-mail:wh09@xjie.edu.cn。

中图分类号:

TH113

基金项目:

国家自然科学基金面上项目(12474283);新疆维吾尔自治区自然科学基金(2024D01A49)。


Deflection Calculation for Crimping Zone of Carbon Fiber Core Conductors Based on Timoshenko Beam Theory
Author:
Affiliation:

1.School of Mathematics and Physics, Xinjiang Institute of Technology, Urumqi 830023,China;2.School of Mechanical Engineering, Xinjiang University, Urumqi 830047,China

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    摘要:

    针对300/40碳纤维芯(棒芯)导线压接区因挠度变形引发的结构可靠性问题,提出了基于Timoshenko梁的挠度计算方法,理论推导了剪切效应影响下碳纤维芯(棒芯)导线压接区的挠度计算公式,并通过有限元仿真进行了分析。结果表明:长径比为17.14的300/40碳纤维芯导线压接区在10 t压接载荷作用下的最大挠度值为0.011 6 m,与有限元仿真结果0.012 8 m基本吻合。该理论解具有很高的计算精度,且其形式简单,利用该公式进行求解可避免有限元仿真中建立模型、网格划分等复杂的求解过程,计算效率显著提升,且具有一定的普适性,还可用于300/50钢芯铝绞线压接区的挠度计算。研究成果可为碳纤维复合芯导线压接工艺优化及工程应用提供重要参考。

    Abstract:

    To address the structural reliability issues caused by the deflection deformation in the crimping zone of 300/40 carbon fiber core or rod-core conductors, a deflection calculation method based on the Timoshenko beam theory is proposed. A deflection formula of the crimping zone is derived theoretically with the consideration of the shear effect, which is validated subsequently through finite element simulations. The results show that under a 10 t crimping load, the maximum deflection of the crimping zone of the 300/40 carbon fiber core conductor with a length-to-diameter ratio of 17.14 is 0.011 6 m, which matches well with the finite element simulation result, i.e., 0.012 8 m. The theoretical solution with a simple form can offer a high calculation accuracy. It can avoid the complex modeling and meshing processes involved in finite element analysis, significantly improving computational efficiency and offering good applicability. It is also suitable for the deflection calculation for the crimping zone of 300/50 steel-core aluminum stranded conductors. The research results can provide an important reference for optimizing the crimping process and engineering applications of carbon fiber composite core conductors.

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王芸,王宏,李强,尚志勇,姚洪斌,王春耀.基于Timoshenko梁理论的碳纤维芯导线压接区挠度计算方法[J].南京航空航天大学学报,2025,57(4):775-780

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  • 收稿日期:2025-03-23
  • 最后修改日期:2025-06-11
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  • 在线发布日期: 2025-09-02
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