纤维缠绕复合材料压力容器封头厚度的逐层预测方法

张行; 任明法; 王磊; 祖磊; 何景轩

doi:10.13801/j.cnki.fhclxb.20231020.001

纤维缠绕复合材料压力容器封头厚度的逐层预测方法

doi: 10.13801/j.cnki.fhclxb.20231020.001

张行¹,
任明法^{2, 3, 4, ,},
王磊¹,
祖磊^{5, 6},
何景轩^{5, 6}

1.
大连理工大学　工程力学系，大连 116024
2.
大连理工大学　机械工程学院，大连 116024
3.
高性能精密制造全国重点实验室，大连 116024
4.
辽宁省先进复合材料高性能制造重点实验室，大连 116024
5.
西安航天动力技术研究所，西安 710025
6.
燃烧、热结构与内流场国防科技重点实验室，西安 710072

基金项目: 国家自然科学基金(12272078)

详细信息

通讯作者:
任明法，博士，教授，博士生导师，研究方向为复合材料压力容器　E-mail: renmf@dlut.edu.cn

中图分类号: TB332
计量
- 文章访问数: 507
- HTML全文浏览量: 204
- PDF下载量: 61
- 被引次数: 0
出版历程
- 收稿日期: 2023-09-18
- 修回日期: 2023-10-12
- 录用日期: 2023-10-13
- 网络出版日期: 2023-10-23
- 刊出日期: 2024-07-01

A method for predicting dome thickness layer by layer of filament wound composite pressure vessel

ZHANG Hang¹,
REN Mingfa^{2, 3, 4
, ,},
WANG Lei¹,
ZU Lei^{5, 6},
HE Jingxuan^{5, 6}

1.
Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
2.
School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China
3.
Key Laboratory of High-performance Precision Manufacturing, Dalian 116024, China
4.
Key Laboratory of High-performance Manufacturing for Advanced Composite Materials, Dalian 116024, China
5.
The Institute of Xi'an Aerospace Solid Propulsion Technology, Xi'an 710025, China
6.
Science and Technology on Combustion Internal Flow and Thermal-Structure Laboratory,Xi'an 710072, China

Funds: National Natural Science Foundation of China (12272078)

摘要

摘要: 受纤维缠绕成型工艺和封头段变曲率/厚度等的影响，复合材料压力容器封头段受力状态较为复杂，实现对封头段缠绕层厚度的逐层精准预测，对于构建高精度有限元模型、指导工程应用具有重要意义。针对上述问题，本文基于双公式法及三次样条函数法，发展了一种复合材料压力容器封头缠绕层厚度逐层预测方法，研究了极孔半径、单层纱带厚度和缠绕层数对封头厚度和赤道圆处缠绕角的影响。结果表明：随着极孔半径增大及单层纱带厚度减小，封头段纤维缠绕层厚度极值逐渐减小，赤道圆处缠绕角度的变化随极孔半径与单层纱带厚度减小逐层减小；进一步地，通过对比封头段每层缠绕层厚度，发现各缠绕层厚度由内层到外层随着平行圆半径增大呈现先变大后减小最终趋于相同的趋势。
- 复合材料压力容器 /
- 封头厚度 /
- 逐层预测 /
- 三次样条函数 /
- 缠绕角
Abstract: Due to the influence of fiber winding molding process and the variable curvature/thickness of the dome, the stress state of the dome of the composite pressure vessel was relatively complicated. It was of great significance to accurately predict the thickness of the winding layer of the dome, which was of great significance for constructing a high-precision finite element model and guiding engineering applications. In order to solve the above problems, this study developed a layer-by-layer prediction method for the winding layer thickness of composite pressure vessel dome based on the dual formula method and cubic spline function method. The effects of polar hole radius, the thickness of single-layer yarn thickness and number of winding layers on the thickness and winding angle of the dome were studied. The results show that as the polar hole radius increases, the thickness of the single-layer yarn sheet in the dome decreases gradually, the extreme value of the fiber winding layer of the dome gradually decreases, and the variation of winding angle at the equatorial circle decreases with the decrease of the radius of the polar hole and the thickness of single-layer yarn. Furthermore, by comparing the thickness of each layer of the dome, it is found that the thickness of each winding layer from the inner layer to the outer increases first, then decreases, and finally tends to be the same as the radius of parallel circle increases.
- composite pressure vessel /
- dome thickness /
- prediction of layer by layer /
- cubic spline function /
- winding angle

HTML全文

图 1 封头处的缠绕纱带^[8]

Figure 1. Fiber bands near the polar hole^[8]

下载: 全尺寸图片幻灯片

图 2 封头厚度逐层计算流程图

Figure 2. Flowchart of the dome thickness calculated layer by layer

R—Radius of thestraight barrel section; t_p—Thickness of spiral winding layer

下载: 全尺寸图片幻灯片

图 3 压力容器封头示意图

Figure 3. Diagram of the pressure vessel dome

r₀—Radius of the polar hole; h—Height of the dome

下载: 全尺寸图片幻灯片

图 4 三种方法得到的封头厚度对比

Figure 4. Comparison of dome thickness obtained by the three methods

下载: 全尺寸图片幻灯片

图 5 不同极孔半径的缠绕层厚度

Figure 5. Thickness of winding layer with different pole hole radius

下载: 全尺寸图片幻灯片

图 6 不同纱带厚度的缠绕层厚度

Figure 6. Thickness of winding layer with different thickness of fiber bands

下载: 全尺寸图片幻灯片

图 7 逐层计算的各层层厚

Figure 7. Thickness of each layer calculated layer by layer

下载: 全尺寸图片幻灯片

表 1 封头纤维缠绕层参数

Table 1. Parameters of the dome fiber winding layer

r₀/mm	R/mm	t_p/mm	b/mm	h/mm	t_R/mm
110	372.5	0.765	5.39	213	1.445
Notes: t_p—Thickness of the single-layer yarn sheet; b—Width of the yarn band.

下载: 导出CSV

表 2 不同极孔半径时赤道圆处的缠绕角的变化情况

Table 2. Change of winding angle at the equatorial circle with different pole hole radiuses

r₀/mm	First layer winding angle α₁/(°)	Second layer winding angle α₂/(°)	Winding angle change Δα/(°)
30	4.6194	4.6099	0.0095
70	10.8314	10.8089	0.0225
110	17.1756	17.1394	0.0363

下载: 导出CSV

表 3 不同纱带厚度时赤道圆处缠绕角的变化情况

Table 3. Change of winding angle at the equatorial circle with different thickness of fiber bands

t_p/mm	α₁/(°)	α₂/(°)	△α/(°)
0.3	17.1756	17.1614	0.0142
0.5	17.1756	17.1519	0.0237
0.765	17.1756	17.1394	0.0363

下载: 导出CSV

参考文献(24)

[1]	GRAMOLL K, ONODA J, NAMIKI F. Dome thcikness of filament wound pressure vessels[J]. Transactions of the Japan Society for Aeronautical and Space Sciences, 1990, 33(100): 66-79.
[2]	祖磊, 穆建桥, 王继辉, 等. 基于非测地线纤维缠绕压力容器线型设计与优化[J]. 复合材料学报, 2016, 33(5): 1125-1131. doi: 10.13801/j.cnki.fhclxb.20160112.003 ZU Lei, MU Jianqiao, WANG Jihui, et al. Pattern design and optimization of filament-winding pressure vessels based on non-geodesics[J]. Acta Materiae Compositae Sinica, 2016, 33(5): 1125-1131(in Chinese). doi: 10.13801/j.cnki.fhclxb.20160112.003
[3]	边文凤, 贾宝贤, 杜善义. 伪弹性合金内衬复合材料压力容器的强度分析[J]. 复合材料学报, 2009, 26(1): 146-149. doi: 10.3321/j.issn:1000-3851.2009.01.025 BIAN Wenfeng, JIA Baoxian, DU Shanyi. Analysis on the strength of composite pressure vessels with pseudo-elastic inner alloy lining[J]. Acta Materiae Compositae Sinica, 2009, 26(1): 146-149(in Chinese). doi: 10.3321/j.issn:1000-3851.2009.01.025
[4]	沈军, 谢怀勤, 侯涤洋. 纤维缠绕聚合物基复合材料压力容器的可靠性设计[J]. 复合材料学报, 2006, 23(4): 124-128. doi: 10.3321/j.issn:1000-3851.2006.04.022 SHEN Jun, XIE Huaiqin, HOU Diyang. Reliability design of fiber wound reinforced plastics pressure vessel[J]. Acta Materiae Compositae Sinica, 2006, 23(4): 124-128(in Chinese). doi: 10.3321/j.issn:1000-3851.2006.04.022
[5]	MURTHY P, PHOENIX S. Designing of a fleet-leader program for carbon composite overwrapped pressure vessels[C]//50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virginia: AIAA, 2009: 2517.
[6]	CHE J, HAN M, CHANG S. Prediction of composite layer thickness for Type III hydrogen pressure vessel at the dome part[J]. Composite Structures, 2021, 271(1-2): 114177.
[7]	SATO T. Failure modes and stresses of pressure vessels and piping (3): Progressive deformation ratcheting and fatigue fracture (1)[J]. European Journal of Biochemistry, 2000, 267(24): 7006-7014.
[8]	赫晓东, 王荣国, 矫维成, 等. 先进复合材料压力容器[M]. 北京: 科学出版社, 2016: 49. HE Xiaodong, WANG Rongguo, JIAO Weicheng, et al. Advanced composite pressure vessel[M]. Beijing: Science Press, 2016: 49(in Chinese).
[9]	WANG Y, DAI X T, YOU H X, et al. Research on the design of hydrogen supply system of 70 MPa hydrogen storage cylinder for vehicles[J]. International Journal of Hydrogen Energy, 2018, 43(41): 19189-19195. doi: 10.1016/j.ijhydene.2018.08.138
[10]	BERRO RAMIREZ J P, HALM D, GRANDIDIER J C, et al. 700 bar type IV high pressure hydrogen storage vessel burst—Simulation and experimental validation[J]. International Journal of Hydrogen Energy, 2015, 40(38): 13183-13192. doi: 10.1016/j.ijhydene.2015.05.126
[11]	左千. 纤维缠绕复合材料压力容器爆破压力研究与优化设计[D]. 杭州: 浙江大学, 2022. ZUO Qian. Burst pressure study and design optimization for filament wound composite pressure vessels[D]. Hangzhou: Zhejiang University, 2022(in Chinese).
[12]	HARTUNG R F. Planar-wound filamentary pressure vessels[J]. AIAA Journal, 1963, 1(12): 2842-2844. doi: 10.2514/3.2181
[13]	KNOELL A C. Structural design and stress analysis program for advanced composite filament-wound axisymmetric pressure vessels (COMTANK)[J]. Computer-Aided Design, 1972, 5(4): 267.
[14]	矫维成, 王荣国, 刘文博, 等. 纤维缠绕复合材料压力容器封头厚度预测[J]. 复合材料学报, 2010, 27(5): 116-121. doi: 10.13801/j.cnki.fhclxb.2010.05.015 JIAO Weicheng, WANG Rongguo, LIU Wenbo, et al. Dome thickness prediction of composite pressure vessels[J]. Acta Materiae Compositae Sinica, 2010, 27(5): 116-121(in Chinese). doi: 10.13801/j.cnki.fhclxb.2010.05.015
[15]	顾付伟, 朱晓磊, 陆晓峰, 等. 一种改进的复合材料压力容器封头纤维厚度预测方法[C]//中国机械工程学会压力容器分会、合肥通用机械研究院有限公司. 第十届全国压力容器学术会议论文集. 合肥: 合肥工业大学出版社, 2021: 422-432. GU Fuwei, ZHU Xiaolei, LU Xiaofeng, et al. An improved fiber thickness prediction method for composite pressure vessel dome[C]//Chinese Mechanical Engineering Society Pressure Vessel Branch and General Machinery Research Institute CO., LTD. Proceedings of the 10th National Pressure Vessel Academic Conference. Hefei: Hefei University of Technology Publishing House, 2021: 422-432(in Chinese).
[16]	张桂明, 宋春雨, 祖磊, 等. 纤维缠绕储氢气瓶逐层更新建模方法与性能评估[J]. 复合材料科学与工程, 2023(2): 60-66. doi: 10.19936/j.cnki.2096-8000.20230228.008 ZHANG Guiming, SONG Chunyu, ZU Lei, et al. Modeling method and performance evaluation of filament-wound hydrogen storage cylinder with layer-by-layer renewal[J]. Composites Science and Engineering, 2023(2): 60-66(in Chinese). doi: 10.19936/j.cnki.2096-8000.20230228.008
[17]	祖磊, 金书明, 张骞, 等. 基于精细化模型的纤维缠绕压力容器失效行为及容积特性影响因素分析[J]. 复合材料科学与工程, 2021(12): 40-47. doi: 10.19936/j.cnki.2096-8000.20210528.031 ZU Lei, JIN Shuming, ZHANG Qian, et al. Failure behavior and influencing factors of volume characteristics of filament wound pressure vessel based on refined model[J]. Composites Science and Engineering, 2021(12): 40-47(in Chinese). doi: 10.19936/j.cnki.2096-8000.20210528.031
[18]	陈学东, 范志超, 郑津洋, 等. 压力容器绿色制造技术[M]. 北京: 机械工业出版社, 2016: 112-118. CHEN Xuedong, FAN Zhichao, ZHENG Jinyang, et al. Green manufacturing technology of pressure vessel[M]. Beijing: China Machine Press, 2016: 112-118(in Chinese).
[19]	WANG R G, JIAO W C, LIU W B, et al. A new method for predicting dome thickness of composite pressure vessels[J]. Journal of Reinforced Plastics and Composites, 2010, 29(22): 3345-3352. doi: 10.1177/0731684410376330
[20]	鄢家乐, 陈学东, 范志超, 等. 70 MPa车载IV型储氢气瓶铺层设计与实验验证[J]. 西安交通大学学报, 2022, 56(10): 71-80. doi: 10.7652/xjtuxb202210007 YAN Jiale, CHEN Xuedong, FAN Zhichao, et al. Layered design and experimental verification of 70 MPa vehicle-mounted type IV hydrogen storage cylinder[J]. Journal of Xi'an Jiaotong University, 2022, 56(10): 71-80(in Chinese). doi: 10.7652/xjtuxb202210007
[21]	李德翔. 氢气瓶缠绕工艺分析及机构设计[D]. 上海: 东华大学, 2022. LI Dexiang. Winding process analysis and mechanism design of hydrogen cylinder[D]. Shanghai: Donghua University, 2022(in Chinese).
[22]	缐永兴. 碳纤维全缠绕复合气瓶缠绕方式的设计与选择[D]. 北京: 北京工业大学, 2015. XIAN Yongxing. Winding pattern design and selection of full wrapped composite cylinders[D]. Beijing: Beijing University of Technology, 2015(in Chinese).
[23]	王迪. 不同缠绕工艺下复合材料气瓶力学性能研究[D]. 大连: 大连理工大学, 2017. WANG Di. Study on mechanical properties of composite cylinder under different winding technology[D]. Dalian: Dalian University of Technology, 2017(in Chinese).
[24]	贾晓龙, 李刚, 薛忠民, 等. 碳纤维/环氧树脂在橡胶内衬表面的全缠绕工艺设计[J]. 玻璃钢/复合材料, 2009(2): 61-64. JIA Xiaolong, LI Gang, XUE Zhongmin, et al. Winding process design fiber/epoxy on rubber liner[J]. Glass Fiber Reinforced Plastic/Composite Material, 2009(2): 61-64(in Chinese).