Effects of Rope's Knot Vortex on Tensile Properties
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摘要: PBO绳索具有优良的性能,被广泛应用于航空、航天等诸多领域。本文以PBO绳索的绳结为研究对象,通过打结绳索和未打结绳索拉伸实验对比,发现绳索打结极大地降低了绳索的抗拉性能。为了深入探究打结使绳索抗拉性能降低的原因,利用 UG软件建立了绳结模型,从绳结涡旋和等效长度的角度进行研究。经过对多种绳结的拉伸实验研究,提出了一种评估打结对绳索抗拉性能影响的方法,并用实验验证。结果表明:该评估方法能根据绳结等效长度和涡旋总边数的比值,实现对绳结的抗拉性能评估;为新绳结的设计及评估提供参考。Abstract: A poly-p-phenylene benzobisoxazole(PBO) rope has excellent properties and is widely used in aerospace and many other fields. This paper studies rope knots through comparing tensile experimental results between knotted and non-knotted ropes. It is found that the knotted rope greatly reduces its tensile properties. In order to deeply explore the reasons why knotting reduces the tensile properties of a rope, the knot model is established by using the UG software to study its knot vortex and equivalent length, Through the experimental study of tensile properties of various knots, a method for evaluating the effects of the rope's knot vortex on the tensile properties is proposed. The experimental results show that the evaluation method can evaluate the tensile properties of knots according to the ratio of the equivalent length of knots to the total number of vortex sides.
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Key words:
- PBO rope /
- knot /
- vortex /
- tensile properties
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表 1 各绳结的等效长度
Table 1. Equivolent lengths of various rope knots
绳结名称 试件1/cm 试件2/cm 试件3/cm 平均值/cm 金钱结 11.3 11.8 11.5 11.6 渔夫结 9.3 8.9 8.8 9.0 外科结 11.2 11.7 11.1 11.5 飞艇结 8.1 8.0 8.5 8.2 表 2 绳结能承受的最大拉力实验结果
Table 2. Maximum tensile forces bearable by rope knots
绳结 试件1/N 试件2/N 试件3/N 平均值/N 金钱结 2258.691 2114.371 2341.778 2238.280 渔夫结 2368.938 2553.820 2309.195 2410.651 外科结 2626.439 2685.010 2562.121 2624.523 飞艇结 2898.886 3359.665 3047.910 3102.154 表 3 绳索的拉伸实验结果
Table 3. Tensile forces of rope knots
参数 最大拉力/N 试件1 16582.616 试件2 16014.682 试件3 16722.191 平均值 16439.833 表 4 各绳结涡旋评估结果
Table 4. Evaluating vortices of rope knots
绳结 总涡旋数n 总边数N L/N 最大拉力平均值/N 金钱结 1 4 2.90 2238.280 渔夫结 2 10 0.90 2410.651 外科结 8 16 0.72 2624.523 飞艇结 5 14 0.59 3102.154 表 5 两种金钱结的拉伸实验结果
Table 5. Tensile results of two types of money knots
参数 α-金钱结 β-金钱结 试件1/N 2258.691 2213.083 试件2/N 2114.371 2378.942 试件3/N 2341.778 2462.551 平均值/N 2238.280 2351.525 表 6 两种金钱结的评估
Table 6. Evaluating two golden rope knots
参数 α-金钱结 β-金钱结 总涡旋数n 1 2 总边数N 4 6 等效长度L/cm 11.6 11.6 L/N 2.90 1.90 最大拉力平均值/N 2238.280 2351.525 -
[1] 刘姝瑞, 张明宇, 谭艳君, 等. PBO纤维性能测试研究[J]. 纺织科学与工程学报, 2020, 37(4): 34-42.LIU S R, ZHANG M Y, TAN Y J, et al. Research on performance test of PBO fiber[J]. Journal of Textile Science and Engineering, 2020, 37(4): 34-42. (in Chinese) [2] 王宁, 夏兆鹏, 王亮, 等. PBO纤维抗紫外老化改性研究进展[J]. 纺织导报, 2021(5): 54-58.WANG N, XIA Z P, WANG L, et al. Research progress of UV aging resistance modification of PBO fiber[J]. China Textile Leader, 2021(5): 54-58. (in Chinese) [3] 赵婷玉, 魏金石, 钟正祥, 等. PBO纤维增强有机硅压敏胶的制备及性能研究[J]. 化学与粘合, 2021, 43(5): 319-322. doi: 10.3969/j.issn.1001-0017.2021.05.001ZHAO T Y, WEI J S, ZHONG Z X, et al. Study on the preparation and performance of PBO fiber reinforced silicone pressure sensitive adhesive[J]. Chemistry and Adhesion, 2021, 43(5): 319-322. (in Chinese) doi: 10.3969/j.issn.1001-0017.2021.05.001 [4] ZHANG K, LIU X D, ASMARE F W, et al. Probabilistic model for structural mechanics of fiber bundle and its application to PBO fiber[J]. The Journal of the Textile Institute, 2021, 112(1): 138-143. doi: 10.1080/00405000.2020.1744237 [5] 刘亦冰, 杨建忠, 祖文菊, 等. 密封感压膜片用PBO纤维耐高温性能的研究[J]. 合成纤维, 2021, 50(11): 23-26.LIU Y B, YANG J Z, ZU W J, et al. Research and analysis on the high temperature resistance of PBO fiber used for sealing pressure sensitive diaphragm[J]. Synthetic Fiber in China, 2021, 50(11): 23-26. (in Chinese) [6] 陆瑶, 赵玉芬, 田荟霞, 等. 聚丙烯腈纳米纤维膜对聚对苯撑苯并双噁唑织物增强复合材料层间剪切性能的影响[J]. 复合材料学报, 2022, 39(12): 6130-6138.LU Y, ZHAO Y F, TIAN H X, et al. Effect of polyacrylonitrile nanofiber membrane on interlaminar shear properties of poly-p-phenylene benzobisoxazole fabric reinforced composites[J]. Acta Materiae Compositae Sinica, 2022, 39(12): 6130-6138. (in Chinese) [7] 王虹, 李荣年, 周裴灿, 等. PBO纤维毡复合气凝胶高性能材料的制备与性能研究[J]. 高科技纤维与应用, 2021, 46(6): 26-29.WANG H, LI R N, ZHOU P C, et al. Study on preparation and performance of PBO fiber felt composite aerogel high performance material[J]. Hi-Tech Fiber and Application, 2021, 46(6): 26-29. (in Chinese) [8] 刘香园, 吴涛, 程强强. 关于绳结打法对其自动松脱和绳子强度影响的研究[J]. 黄冈师范学院学报, 2016, 36(3): 18-21.LIU X Y, WU T, CHENG Q Q. Impact of rope knotting on its automatic slackening and strength[J]. Journal of Huanggang Normal University, 2016, 36(3): 18-21. (in Chinese) [9] 吴昊, 张峰峰, 詹蔚, 等. 虚拟手术缝合线实时打结仿真研究[J]. 计算机仿真, 2021, 38(3): 331-335. doi: 10.3969/j.issn.1006-9348.2021.03.067WU H, ZHANG F F, ZHAN W, et al. Research on real-time knotting simulation of suture in virtual surgery[J]. Computer Simulation, 2021, 38(3): 331-335. (in Chinese) doi: 10.3969/j.issn.1006-9348.2021.03.067 [10] QWAM ALDEN A Y, GEESLIN A G, GUSTAFSON P A. Validation of a finite element model of the mechanical performance of surgical knots of varying topology[C]//ASME 2018 International Mechanical Engineering Congress and Exposition. Pittsburgh: ASME, 2018: 9-15. [11] BAEK C, JOHANNS P, SANO T G, et al. Finite element modeling of tight elastic knots[J]. Journal of Applied Mechanics, 2021, 88(2): 024501. doi: 10.1115/1.4049023 [12] 赵文锐, 贺秋森, 张婧怡, 等. 纱线打结拓扑结构的稳定性研究[J]. 棉纺织技术, 2021, 49(8): 22-25.ZHAO W R, HE Q S, ZHANG J Y, et al. Study on stability of yarn knotting network topology[J]. Cotton Textile Technology, 2021, 49(8): 22-25. (in Chinese) [13] JAWED M K, DIELEMAN P, AUDOLY B, et al. Untangling the mechanics and topology in the frictional response of long overhand elastic knots[J]. Physical Review Letters, 2015, 115(11): 118302. doi: 10.1103/PhysRevLett.115.118302 [14] 狄剑锋. 转杯纺纱接头关键技术分析[J]. 纺织学报, 2004, 25(4): 43-44.DI J F. Analysis of the key technology of piecing in rotor spinning[J]. Journal of Textile Research, 2004, 25(4): 43-44. (in Chinese) [15] 朱阳. 基于能量分析的拎手绳打结研究[J]. 包装工程, 2020, 41(11): 233-238.ZHU Y. Knotting of hand rope based on energy analysis[J]. Packaging Engineering, 2020, 41(11): 233-238. (in Chinese)