碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构在竖向载荷下的力学性能

唐玉玲; 陈浩; 平学成; 张琰

doi:10.13801/j.cnki.fhclxb.20200717.002

碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构在竖向载荷下的力学性能

doi: 10.13801/j.cnki.fhclxb.20200717.002

天津科技大学　机械工程学院　天津市轻工与食品工程机械装备集成设计与在线监控重点试验室，天津 300222

基金项目: 国家自然科学基金(51975411)；天津市自然科学基金(18JCYBJC88500)；天津市轻工与食品工程机械装备集成设计与在线监控重点试验室开放基金(2017 LIMFE02；2019 LIMFE04)

详细信息

通讯作者:
平学成，博士，教授，博士生导师，研究方向为复合材料及其结构的力学性能分析　E-mail: xuechengping@hotmail.com

中图分类号: TB332
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出版历程
- 收稿日期: 2020-05-14
- 录用日期: 2020-07-01
- 网络出版日期: 2020-07-18
- 刊出日期: 2021-03-15

Mechanical properties of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure under vertical load

Tianjin Key Laboratory of Integrated Design and On-line Monitoring for Light Industry & Food Machinery and Equipment, College of Mechanical Engineering, Tianjin University of Science & Technology, Tianjin 300222, China

摘要

摘要: 对碳纤维增强树脂复合材料金字塔点阵夹芯假脚结构在竖向载荷下的力学性能进行研究。制备了三种不同相对密度的假脚，并进行了竖向载荷压缩试验。结果表明，相对密度对结构力学性能的影响显著，载荷-位移曲线呈非线性，峰值载荷和刚度值随相对密度的增加而增大，三种相对密度的破坏模式均为节点的失效和面板的皱曲，结构具有一定的能量吸收能力。建立了金字塔点阵夹芯假脚结构的理论强度预报模型，给出了结构在竖向载荷作用下的挠度响应，获得了四种失效模式和临界破坏载荷。对比了理论计算与试验的峰值载荷、破坏模式和挠度，得到较好的一致性。给出假脚结构参数(面板厚度、杆件角度和杆件直径)对破坏模式和破坏临界载荷的影响，并绘制了结构失效机制图。
- 碳纤维增强环氧树脂复合材料 /
- 点阵夹芯结构 /
- 力学性能 /
- 破坏模式 /
- 强度
Abstract: The mechanical properties of the carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure under vertical load were studied. Three kinds of prosthetic feet with different relative densities were prepared and subjected to vertical load compression test. The results show that the relative density has a significant effect on the mechanical properties of the structure. The load-displacement curve is nonlinear. The peak load and stiffness values increase with the increase of the relative density. The three failure modes of relative density are node failure and panel wrinkling. Curves and structures have a certain energy absorption capacity. The theoretical strength prediction model of the pyramid lattice sandwich prosthetic foot structure was established, and the deflection response of the structure under the vertical load was given. Four failure modes and critical failure loads were obtained. Comparing the peak load, failure mode and deflection of theoretical calculation and experiment, a good consistency is obtained. The effect of the structural parameters of the prosthetic foot (thickness of the panel, angle of the rod and diameter of the rod) on the failure mode and the critical load of the failure were given, and the structural failure mechanism diagram was drawn.
- carbon fiber reinforced epoxy composite /
- truss core sandwich structure /
- mechanical properties /
- failure mode /
- strength

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图 1 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构示意图

Figure 1. Schematic diagram of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure

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图 2 碳纤维增强环氧树脂复合材料金字塔点阵芯子的单胞示意图

Figure 2. Schematic diagram of unit cell of carbon fiber reinforced epoxy composite pyramidal lattice core

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图 3 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的制备过程

Figure 3. Preparation process of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure

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图 4 声发射(AE)采集系统

Figure 4. Acoustic emission (AE) acquisition system

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图 5 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构压缩性能测试装置

Figure 5. Device for testing compressive properties of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure

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图 6 三种不同相对密度的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的载荷-位移曲线

Figure 6. Load-displacement curves of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structures with three different relative densities

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图 7 三种相对密度的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的刚度值和单位质量极限载荷

Figure 7. Stiffness values and unit mass limit loads of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure with three relative densities

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图 8 碳纤维增强环氧树脂复合材料点阵夹芯结构常见破坏模式

Figure 8. Common failure modes of carbon fiber reinforced epoxy composite lattice sandwich structure ((a)Panel wrinkling; (b)Panel collapse; (c)Member crushing; (d)Member buckling; (e)Node failure)

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图 9 相对密度为12.71%的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的载荷-位移曲线和破坏模式

Figure 9. Load-displacement curve and failure mode of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure with relative density of 12.71%

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图 10 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的吸能特性

Figure 10. Energy absorption characteristics of carbon fiber reinforced epoxy composite pyramid dimension lattice sandwich prosthetic foot structure

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图 11 相对密度为11.12%的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的载荷曲线和声发射(AE)历程图

Figure 11. Load curves and acoustic emission(AE) history graphs of carbon fiber reinforced epoxy resin composite pyramid lattice sandwich prosthetic foot structure with relative density of 11.12%

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图 12 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的简化及受力情况

Figure 12. Simplification and load of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure

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图 13 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的截面尺寸

Figure 13. Cross-sectional dimensions of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure

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图 14 碳纤维增强环氧树脂复合材料金字塔点阵夹芯结构的杆件角度对临界载荷和破坏模式的影响

Figure 14. Influence of angle of rod of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure on critical load and failure mode

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图 15 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的杆件直径对临界载荷和破坏模式的影响

Figure 15. Influence of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure’s bar diameter on critical load and failure mode

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图 16 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的面板厚度对临界载荷和破坏模式的影响

Figure 16. Influence of thickness of panel of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure on critical load and failure mode

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图 17 不同面板厚度和杆件直径的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的失效机制

Figure 17. Failure mechanism of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure with different face sheet thicknesses and rod diameters

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图 18 不同面板厚度和杆件角度的碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的失效机制

Figure 18. Failure mechanism of carbon fiber reinforced epoxy composite pyramid lattice sandwich prosthetic foot structure with different face sheet thicknesses and rod angles

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表 1 碳纤维增强环氧树脂复合材料的基本力学性能参数

Table 1. Basic mechanical performance parameters of carbon fiber reinforced epoxy composite

Property	Symbol	Value
Longitudinal stiffness/GPa	E₁₁	123
Transverse stiffness/GPa	E₂₂	8.4
Out-of-plane stiffness/GPa	E₃₃	8.4
Poisson’s ratio	V₁₂, V₁₃, V₂₃	0.32, 0.32, 0.3
Shear modulus/GPa	G₁₂, G₁₃, G₂₃	5.5, 3.0, 3.0
Longitudinal tensile strength/MPa	X_T	2100
Longitudinal compressive strength/MPa	X_C	800
Transverse tensile strength/MPa	Y_T	25
Transverse compressive strength/MPa	Y_C	120
Out-of-plane tensile strength/MPa	Z_T	50
Density/(kg.m⁻³)	$\rho $	1560

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表 2 碳纤维增强环氧树脂复合材料金字塔点阵夹芯结构竖向载荷下的试件

Table 2. Test pieces under vertical load of carbon fiber reinforced epoxy composite pyramid lattice sandwich structure

No.	Lay order	Panel thickness t/mm	Relative density/%
A1	[0°/90°]₅	1.0	11.12
B1	[0°/90°]₆	1.2	12.71
C1	[0°/90°]₇	1.4	14.24

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表 3 碳纤维增强环氧树脂复合材料金字塔点阵夹芯假脚结构的理论和试验峰值载荷和破坏模式的对比

Table 3. Theoretical and experimental comparison of peak load and failure mode of carbon fiber reinforced epoxy composite pyramidal lattice sandwich prosthetic foot structure

RD/%	Failure load /N			Deflection /mm			Failure mode
RD/%	TE	TH	RE/%	TE	TH	RE/%	TE	TH
11.12	801	913	13.98	13.4	10.8	24.10	PW	PW
12.71	1406	1582	12.52	15.1	14.4	4.90	PW	PW
14.24	2200	2518	14.45	14.6	14.7	0.70	PW	PW
Notes: RD—Relative density; TE—Test; TH—Theoretical; RE—Relative error; PW—Panel wrinkling.

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