金属-碳纤维增强树脂复合材料复合型柱壳屈曲特性试验及数值

左新龙; 唐文献

doi:10.13801/j.cnki.fhclxb.20220811.006

金属-碳纤维增强树脂复合材料复合型柱壳屈曲特性试验及数值

doi: 10.13801/j.cnki.fhclxb.20220811.006

左新龙^1, ,,
唐文献^2,

1.
江苏科技大学　船舶与海洋工程学院，镇江 212003
2.
江苏科技大学　机械工程学院，镇江 212003

基金项目: 国家自然科学基金(52171258；52071160)National Natural Science Foundation of China (52171258; 52071160)

详细信息

通讯作者:
左新龙，博士，研究方向为深海耐压结构设计与制造　E-mail: 386716254@qq.com

中图分类号: U674.941；TB333
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- 文章访问数: 640
- HTML全文浏览量: 325
- PDF下载量: 33
- 被引次数: 0
出版历程
- 收稿日期: 2022-06-15
- 修回日期: 2022-07-20
- 录用日期: 2022-08-01
- 网络出版日期: 2022-08-12
- 刊出日期: 2023-06-15

Experimental and numerical study on buckling behaviour of steel-carbon fiber reinforced polymer hybrid cylindrical shells

ZUO Xinlong^{1
, ,},
TANG Wenxian^2
,

1.
School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China
2.
School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China

摘要

摘要: 为开展金属-碳纤维增强树脂复合材料(CFRP)复合型柱壳屈曲特性试验及数值研究，制作2组金属-CFRP复合型柱壳及金属柱壳，并对其几何误差检测，试验研究了金属-CFRP复合型柱壳屈曲特性。其次，基于真实几何缺陷，开展了复合型和金属柱壳线性屈曲及非线性屈曲分析，数值与试验具有良好一致性。最后，讨论了CFRP铺层角度、层数对复合型柱壳非线性屈曲载荷影响。结果表明：复合型及金属柱壳试验载荷误差分别为8.29%和6.77%，试验重复性良好；CFRP层可使金属柱壳获得70%的极限载荷增益，并可减弱金属层破坏强度；随着铺设层数增加，复合型柱壳受外压下的铺设角度相应减小，最佳铺设角度为65°~85°，且该范围内，铺设层数影响较小，相同铺设层数下载荷值最大相差7.56%，最小相差为0.57%。
- 复合材料 /
- 柱壳 /
- 金属-碳纤维增强树脂复合材料(CFRP)复合型结构 /
- 静水压力 /
- 屈曲特性
Abstract: The current study is an experimental and numerical investigation of the buckling of steel-carbon fiber reinforced polymer (CFRP) hybrid cylinders. Two groups of steel-CFRP hybrid and steel-only cylinders were manufactured. Geometric measurements and hydrostatic experiments were performed to determine the geometric and buckling properties of the cylinders. Linear eigenvalue and nonlinear analyses were performed to examine the buckling properties of the samples. The finite element model of each sample was established in accordance with the sample’s real geometric shape. The experimental and numerical data agree favorably. Furthermore, the effect of wrapped angle and layers in the hybrid cylinders on the cylinders’ critical buckling load was investigated. The results indicate that the experimental results obtained for the four cylinders are repeatable. The maximum difference between the experimental collapse loads is 8.29% and 6.77% for the hybrid and steel-only cylinders, respectively. The stiffness provided by CFRP approximately is 1.7 times the loading capacity of the steel-only cylinders. The damage of steel layer of hybrid cylinders is smaller than steel-only cylinders. As the wrapped layers increase, the wrapped angle of CFRP layers of hybrid decreases. The optimal range of wrapped angle is 65°-85°. Wrapped layers have less effect on critical buckling load of hybrid cylinders with the wrapped angle of 65°-85°. The maximum and minimum difference errors are 7.56% and 0.57%, respectively.
- composite /
- cylindrical shell /
- steel-carbon fiber reinforced polymer (CFRP) hybrid structure /
- hydrostatic tests /
- buckling behavior

HTML全文

图 1 试样结构图：(a) 金属-碳纤维增强树脂复合材料(CFRP)复合型柱壳；(b) 金属柱壳

Figure 1. Schematics of the cylinders closed with heavy flanges: (a) Steel-carbon fiber reinforced polymer (CFRP) hybrid cylinder; (b) Steel cylinder

D—Outer diameter of bung; d—Inner diameter of bung; t_c—Thickness of composite layer; t_s—Thickness of steel layer; L—Length of cylinder; R—Inner radius of cylinder; b—Depth of sealing groove; a—Width of sealing groove; H—Thickness of inner plug for bung; h—Thickness of outer disk for bung; c—Distance between the sealing groove center and inner disk

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图 2 试样制作流程：(a) 金属-CFRP复合柱壳；(b) 金属柱壳

Figure 2. Flowchart of cylinder fabrication: (a) Steel-CFRP hybrid cylinder; (b) Steel cylinder

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图 3 封盖前柱壳试样：(a) 金属-CFRP复合型柱壳；(b) 金属柱壳

Figure 3. Samples used in the hydrostatic test (without flanges): (a) Steel-CFRP hybrid cylinder; (b) Steel cylinder

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图 4 试验流程图：(a) 测厚；(b) 探伤检测；(c) 外形轮廓扫描；(d) 静水压力舱试验；(e) 去除封盖

Figure 4. Experimental flow: (a) Thickness measured ; (b) Flaw detection; (c) Shape scanning; (d) Hydrostatic pressure chamber test; (e) Flanges removed

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图 5 复合柱壳复合材料CFRP层探伤检测(CYL1)

Figure 5. Flaw detection of CFRP layer of hybrid cylinder (CYL1)

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图 6 试样外轮廓误差：(a) 金属-CFRP复合型柱壳；(b) 金属柱壳

Figure 6. Deviations of the external surfaces of the cylinders from their perfect geometry: (a) Steel-CFRP hybrid cylinder; (b) Steel cylinder

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图 7 金属-CFRP复合型柱壳压载-时间曲线

Figure 7. Pressure-time curves obtained from hydrostatic testing of steel-CFRP hybrid cylinder

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图 8 金属-CFRP复合型柱壳压载-时间曲线

Figure 8. Pressure-time curves obtained from hydrostatic testing of steel-CFRP hybrid cylinder

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图 9 金属-CFRP复合型柱壳和金属柱壳试样压溃模态：(a) 试验结果；(b) 数值结果

Figure 9. Whole view of collapse modes of samples for steel-CFRP hybrid cylinder and steel cylinders: (a) Experimental; (b) Numerical results

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图 10 复合型柱壳CFRP层裂纹扩展

Figure 10. Crack propagation of CFRP layer of hybrid cylinders

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图 11 复合型柱壳和金属柱壳金属层破坏

Figure 11. Collapse of steel layer of hybrid cylinders and steel cylinders

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图 12 有限元模型：(a) 金属-CFRP复合型柱壳；(b) 金属柱壳

Figure 12. Finite element models: (a) Steel-CFRP hybrid cylinder; (b) Steel cylinder

U_x—Displacement in the x-axis direction; U_y—Displacement in the y-axis direction; U_z—Displacement in the z-axis direction

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图 13 试样线性屈曲模态：(a) 金属-CFRP复合型柱壳；(b) 金属柱壳

Figure 13. Linear eigenmodes of samples: (a) Steel-CFRP hybrid cylinder; (b) Steel cylinder

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图 14 复合柱壳非线性屈曲平衡曲线

Figure 14. Nonlinear buckling equilibrium curves of hybrid cylinders

U_max—Maximum displacement

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图 15 金属柱壳非线性屈曲平衡曲线

Figure 15. Nonlinear buckling equilibrium curves of steel cylinders

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图 16 铺设角度θ对复合柱壳非线性临界屈曲载荷影响

Figure 16. Effect of wrapped angle θ on critical buckling load of hybrid cylinder

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图 17 CFRP层数N对复合型柱壳非线性临界屈曲载荷影响

Figure 17. Effect of the number of CFRP layers N on critical buckling load of hybrid cylinder

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表 1 试样几何参数

Table 1. Geometric parameters of specimens

Sample	L/mm	R/mm	t_s-nominal/mm	t_c-nominal/mm	D/mm	a/mm	b/mm	c/mm	h/mm	H/mm
CYL1	280	79.5	1.5	1.2	180	5	2.74	10	10	20
CYL2	280	79.5	1.5	1.2	180	5	2.74	10	10	20
CYP1	280	79.5	1.5	—	180	5	2.74	10	10	20
CYP2	280	79.5	1.5	—	180	5	2.74	10	10	20
Notes: t_s-nominal—Nominal thickness of steel layer; t_c-nominal—Nominal thickness of composite layer；CYL—Steel-composite hybrid cylinder; CYP—Steel cylinder.

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表 2 CFRP复合材料的性能

Table 2. Material properties of CFRP composites

Parameter	Value	Parameter	Value
X_T	1400.09	E₁₁	115
X_C	580.06	E₂₂	7.70
Y_T	44.36	G₁₂	3.72
Y_C	133.03	G₁₃	3.72
S₁₂	45.04	ν₁₂	0.33
S₁₃	45.04
Notes: X_T, X_C—Tensile and compressive strength in fiber direction; E₁₁, E₂₂—Tensile and transverse Young’s modulus; ν₁₂—Poisson's ratio; Y_T—Transverse tensile strength; Y_C—Transverse compressive strength; G₁₂, G₁₃—Shear modulus; S₁₂, S₁₃—Shear strength.

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表 3 金属-CFRP复合型柱壳和金属柱壳试样壁厚及试验载荷

Table 3. Wall thickness and the tested collapse strength of specimens for steel-CFRP hybrid cylinder and steel cylinders

Sample	t_total-min (t_s-min)/mm	t_total-max (t_s-max)/mm	t_total-av (t_s-av)/mm	St. dev. (t_s-St.dev.)	P_test/MPa
CYL1	2.369 (1.248)	3.052 (1.408)	2.579 (1.314)	0.0836 (0.0171)	3.232
CYL2	2.242 (1.284)	2.860 (1.350)	2.576 (1.305)	0.0509 (0.0244)	2.964
CYP1	1.272 (–)	1.378 (–)	1.309 (–)	0.0192 (–)	1.915
CYP2	1.244 (–)	1.372 (–)	1.308 (–)	0.0186 (–)	1.785
Notes: t_total—Total thickness of cylinder; P_test—Tested collapse strength; t_s-av—Metal wall thickness; min—Minimum; max—Maximum; av—Average; St.dev.—Standard deviation.

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表 4 金属-CFRP复合型柱壳和金属柱壳试样重力与名义浮力

Table 4. Comparison of the buoyancy and gravity of specimens for steel-CFRP hybrid cylinder and steel cylinders

Sample	CYL1	CYL2	CYP1	CYP2
Buoyancy F/N	69.11	69.11	67.22	67.22
Gravity G/N	118.12	119.89	109.45	110.21
Notes: F_CYL=(3.14×(79.5+1.2)×(79.5+1.2)×320+3.14×90×90×10×2)×9.8=69.11 N; F_CYP=(3.14×79.5×79.5×320+3.14×90×90×10×2)×9.8=67.22 N.

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表 5 复合型柱壳和金属柱壳试样网格数、线性屈曲及非线性临界屈曲载荷

Table 5. Finite element number, linear eigenvalue and critical buckling load of fabricated CYS and CYH determined through numerical analysis

Sample	S4 R	SC8 R	P_linear/MPa	P_non/MPa
CYL1	8550	5900	3.521 (1.089)	3.024 (0.936)
CYL2	8550	5900	3.352 (1.131)	2.751 (0.928)
CYP1	8350	—	2.170 (1.133)	1.946 (1.016)
CYP2	8350	—	2.108 (1.181)	1.845 (1.034)
Notes: P_linear—Linear buckling load; P_non—Critical buckling load; Ratio of the calculated values to test values is indicated in parentheses.

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表 6 铺设角度θ及层数N对复合型柱壳非线性临界屈曲载荷影响

Table 6. Effect of wrapped angle θ and layers N on critical buckling load of hybrid cylinder

Angle θ/°	Layers N	Load P/MPa	Angle θ/°	Layers N	Load P/MPa	Angle θ/°	Layers N	Load P/MPa
±15	2	2.218	±50	2	2.394	±65	2	2.512
	6	2.678		6	3.551		6	4.021
	10	3.387		10	5.294		10	6.135
	14	4.329		14	6.964		14	8.067
	18	5.407		18	8.355		18	9.863
	22	6.221		22	10.099		22	11.962
	26	6.790		26	11.912		26	14.335
±30	2	2.259	±55	2	2.435	±75	2	2.577
	6	2.925		6	3.720		6	4.239
	10	3.970		10	5.613		10	6.467
	14	5.282		14	7.384		14	8.436
	18	6.318		18	8.978		18	10.227
	22	6.997		22	10.911		22	12.184
	26	8.096		26	12.906		26	14.565
±45	2	2.354	±60	2	2.474	±85	2	2.617
	6	3.379		6	3.879		6	4.354
	10	4.951		10	5.896		10	6.622
	14	6.534		14	7.760		14	8.570
	18	7.697		18	9.489		18	10.286
	22	9.229		22	11.552		22	12.097
	26	10.854		26	13.729		26	14.252

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