十二股二维编织PBO绳索结构强度仿真分析

王哲; 赵海涛; 刘扬; 陈吉安

doi:10.11868/j.issn.1005-5053.2021.000199

十二股二维编织PBO绳索结构强度仿真分析

doi: 10.11868/j.issn.1005-5053.2021.000199

上海交通大学航空航天学院, 上海 200240

详细信息

通讯作者:
赵海涛（1977—），男，副研究员，研究方向为复合材料结构力学性能评价， E-mail：zht@sjtu.edu.cn

中图分类号: V254.1
计量
- 文章访问数: 17
- HTML全文浏览量: 7
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2021-11-30
- 修回日期: 2022-01-20
- 网络出版日期: 2022-04-22

Simulation analysis of structural strength of 12 -strand two-dimensional braided PBO rope

School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

摘要

摘要: 二维编织绳索被广泛应用于工程、航空航天等诸多领域，其中十二股二维编织聚对苯并噁唑（PBO）绳索具有优良的性能。以十二股二维编织PBO绳索为研究对象，对绳索的编织规律和力学性能进行研究，借鉴圆形编织法，得到不同结径比的绳索的模型，对绳索模型截取代表性体积单元，施加周期性边界条件进行有限元仿真，并进行不同结径比的绳索拉伸实验，探究结径比对绳索强度的影响，将模拟结果与实验结果进行对比。结果表明：随着结径比增大，绳索承受的最大拉力先显著增大后基本不变；适当的结径比能使十二股二维编织绳索抗拉性能有效地发挥。
- 二维编织 /
- PBO纤维 /
- 绳索 /
- 结径比 /
- 有限元仿真
Abstract: Two-dimensional braided rope is widely used in engineering, aerospace and many other fields, among which 12-strand two-dimensional PBO braided rope has excellent properties. Taking the 12-strand two-dimensional braided PBO rope as the research object, assuming that the cross section of the fiber bundle was circular, the braiding law and mechanical properties of the rope were studied. Using the circular braiding method for reference, the rope models with different knot diameter ratios were obtained. The representative volume elements of the rope model were intercepted and the periodic boundary conditions were applied for finite element simulation, The rope tensile experiments with different knot diameter ratios were carried out to explore the influence of knot diameter ratio on the rope strength. The simulation results were compared with the experimental results. The results show that with the increase of knot diameter ratio, the maximum tensile force that the rope increases significantly at first and then basically remains unchanged. An appropriate knot diameter ratio can effectively give play to the tensile performance of 12-strand two-dimensional braided rope, it promotes the study of mechanical properties of two-dimensional braided rope.
- 2D braiding /
- PBO fiber /
- rope /
- knot diameter ratio /
- finite element simulation

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图 1 圆形编织机和携纱器运行轨迹　（a）圆形编织机；（b）携纱器运行轨迹

Figure 1. Circular knitting machine and yarn carrier running track　（a） Circular knitting machine；（b）yarn carrier running track

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图 2 绳索尺寸示意图　（a）绳索的外部尺寸；（b）绳索的内部尺寸

Figure 2. Schematic diagram of rope dimension　(a) external dimension of rope；(b) internal dimension of rope

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图 3 不同结径比的绳索

Figure 3. Ropes with different knot diameter ratios

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图 4 绳索模型建立过程示意图　（a）纤维束中心线轨迹；（b）一股纤维束；（c）绳索模型

Figure 4. Schematic diagram of rope model building process　(a) fiber bundle centerline trajectory；(b) a bundle of fibers；(c) rope model

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图 5 纤维束横截面为圆形的依据　（a）绳索横截面；（b）圆柱斜截面；（c）绳索模型横截面；（d）纤维束横截面

Figure 5. Basis for round fiber bundle cross section　(a) rope cross section；(b) cylindrical oblique section；(c) rope model cross section；(d) fiber bundle cross section

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图 6 代表性体积单元强度有限元分析　（a）代表性体积单元；（b）有限元仿真模拟结果

Figure 6. Finite element analysis of representative volume element strength　 (a) representative volume element；(b) finite element simulation results

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图 7 三角形面积坐标与直角坐标之间的关系

Figure 7. Relation between triangle area coordinates and cartesian coordinates

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图 8 材料损伤累积应力应变关系曲线

Figure 8. Cumulative stress-strain relationship curve of material damage

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图 9 绳索局部放大示意图

Figure 9. Schematic diagram of partial enlargement of rope

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图 10 绳索模型及其有限元分析结果　（a）纤维束直径相同、结径比依次增大的绳索模型；（b）仿真结果；（c）绳索模型能承受的最大拉力

Figure 10. Rope model and its finite element analysis results　(a) rope model with the same fiber bundle diameter and increasing knot diameter ratio；(b) simulation results；(c) maximum tensile force that the rope model can bear

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图 11 模拟结果和实验结果对比

Figure 11. Comparison between simulation results and experimental results

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表 1 PBO纤维与其他高性能纤维的性能比较

Table 1. Performance comparison between PBO fiber and other high performance fibers

Fiber	Breaking strength / (N / Tex)	Modulus/GPa	Elongation at break/%	Density/（g·cm³）
PBO fiber	3.70	280	2.5	1.56
Aramid fiber	1.95	109	2.4	1.45
Carbon fibre	2.05	230	1.5	1.76

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表 2 各绳索尺寸测量结果

Table 2. Measurement results of each rope size

Serial number	Rope diameter/mm	Length of the knot/mm	Knot diameter ratio
1	4.0	3.2	0.8
2	4.0	3.6	0.9
3	4.0	4.0	1.0
4	4.0	6.0	1.5
5	4.0	8.0	2.0

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表 3 不同花结长度的绳索模型能承受的最大拉力

Table 3. Maximum tensile strength of rope models with different knot lengths

Knot diameter ratio	Maximum tension, F_max/N
0.8	13962.6
0.9	15662.7
1.0	16682.2
1.5	16970.8
2.0	17053.0

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表 4 绳索的拉伸实验结果

Table 4. Tensile test results of rope

Knot diameter ratio	Specimen 1/N	Specimen 2/N	Specimen 3/N	Average/N
0.8	13820.6	12854.6	13507.1	13394.1
0.9	16083.3	14423.4	15202.6	15236.4
1.0	16524.9	16324.7	16564.9	16471.5
1.5	17571.1	17096.0	16812.6	17159.9
2.0	17018.9	17419.0	17305.4	17247.8

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