纤维金属层板金属层应变测量及应力预测方法

孟维迎; 谢里阳; 胡杰鑫; 吕骁; 秦波; 王博文

doi:10.13700/j.bh.1001-5965.2017.0035

纤维金属层板金属层应变测量及应力预测方法

doi: 10.13700/j.bh.1001-5965.2017.0035

孟维迎^{1, 2},
谢里阳^{1, 2, ,},
胡杰鑫^{1, 2},
吕骁³,
秦波^{1, 2},
王博文^{1, 2}

1.
东北大学机械工程与自动化学院, 沈阳 110819
2.
东北大学航空动力学装备振动及控制教育部重点实验室, 沈阳 110819
3.
上海微创医疗器械(集团)有限公司, 上海 201203

基金项目:

国家自然科学基金 51335003

辽宁重大装备制造协同创新中心

详细信息

作者简介:
孟维迎男, 博士研究生。主要研究方向:纤维金属层板疲劳寿命性能

谢里阳男, 博士, 教授, 博士生导师。主要研究方向:机械疲劳强度与可靠性

通讯作者:
谢里阳, E-mail: lyxie@me.neu.edu.cn

中图分类号: V257
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- 被引次数: 0
出版历程
- 收稿日期: 2017-01-18
- 录用日期: 2017-03-17
- 网络出版日期: 2018-01-20

Strain measurement and stress prediction methods of metal layer in fiber metal laminates

MENG Weiying^{1, 2},
XIE Liyang^{1, 2
, ,},
HU Jiexin^{1, 2},
LYU Xiao³,
QIN Bo^{1, 2},
WANG Bowen^{1, 2}

1.
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
2.
Key Laboratory of Vibration and Control of Aero-propulsion Systems Ministry of Education, Northeastern University, Shenyang 110819, China
3.
Shanghai MicroPort Medical(Group) Co., Ltd., Shanghai 201203, China

Funds:

National Natural Science Foundation of China 51335003

Subsidized by the Collaborative Innovation Center of Major Machine Manufacturing in Liaoning

More Information

Corresponding author: XIE Liyang, E-mail: lyxie@me.neu.edu.cn

摘要

摘要:
纤维金属层板作为一种新型复合材料，已开始应用于航空航天领域。脱离传统应变测量方法，应用一种新测量方法——数字化光学应变法，实现了层板中金属层应变的测量；同时以子层刚度理论获得层板的等效刚度矩阵，修正经典层板理论中整体刚度矩阵的求解方法，实现了金属层应力的更准确预测。以纤维增强铝锂合金2/1及3/2层板为例，使用光学应变法测量其金属层应变进而计算金属层应力，利用有限元仿真分析、经典层板理论及修正方法分别对其进行金属层应力预测。通过对比光学应变测量结果和有限元仿真结果，2/1及3/2层板光学应变测量结果与仿真结果最大误差分别为2.12%和3.68%，验证了新测量方法的准确性及实用性；通过对比光学应变测量结果和层板理论预测结果，2/1及3/2层板模型修正后结果比修正前准确率分别提升了2.91%和5.83%，验证了修正模型的有效性及先进性。
- 纤维金属层板 /
- 应变测量 /
- 应力预测 /
- 等效刚度 /
- 经典层板理论
Abstract:
Fiber metal laminates, as a new-type composite material, have been applied in aerospace field. Digital optical strain method is used to realize strain measurement of metal layer instead of traditional method of strain measurement. Meanwhile, in order to predict the stress distribution in metal layer accurately, the global stiffness matrix obtained from classic laminate theory is modified by the equivalent stiffness matrix from sub-laminate stiffness theory. Taking 2/1 and 3/2 laminates of glass fiber reinforced Al-Li alloy as an example, the stress distribution in metal layer of the laminates is determined based on the measured strain, finite element analysis, classical laminate theory and modified method. The comparison of stress distributions obtained from the measured strain and finite element analysis shows that the maximum errors are only 2.12% and 3.68% for 2/1 and 3/2 laminates, respectively, which verifies the accuracy and practicability of the optical strain method. By comparing the stress distributions from the optical strain method and laminate theory, the prediction accuracy of the modified model increases by 2.91% and 5.83% compared with that of original model for 2/1 and 3/2 laminates, respectively, which proves the effectiveness and advancement of the modified model.
- fiber metal laminates /
- strain measurement /
- stress prediction /
- equivalent stiffness /
- classical laminate theory

HTML全文

图 1 数字化光学应变仪测试系统

Figure 1. Testing system of digital optical strain gauge

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图 2 原始试样及喷涂试样照片

Figure 2. Photos of original and sprayed specimen

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图 3 试样孔心截面Y向应变

Figure 3. Y-direction strain of specimen section through pinhole center

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图 4 试样孔心水平截面应变

Figure 4. Strain of specimen horizontal section through pinhole center

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图 5 铝锂合金层板试件

Figure 5. Test specimen of Al-Li alloy laminates

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图 6 2/1及3/2层板结构

Figure 6. Structure of 2/1 and 3/2 laminates

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图 7 2/1及3/2层板几何模型

Figure 7. Geometric models of 2/1 and 3/2 laminates

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图 8 有限元模型网格划分情况

Figure 8. Meshing case of finite element model

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图 9 有限元模型边界条件

Figure 9. Boundary conditions of finite element model

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图 10 有限元模型应力分析结果

Figure 10. Stress analysis results of finite element model

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图 11 2/1层板金属层最大应力测量及预测结果

Figure 11. Measurement and prediction results of maximum stress in metal layer of 2/1 laminates

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图 12 3/2层板金属层最大应力测量及预测结果

Figure 12. Measurement and prediction results of maximum stress in metal layer of 3/2 laminates

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表 1 不同坐标系下坐标轴间的余弦值

Table 1. Cosine value between coordinate axes in different coordinate systems

坐标轴	x	y	z
1	l₁	m₁	n₁
2	l₂	m₂	n₂
3	l₃	m₃	n₃

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表 2 层板组分材料属性及尺寸

Table 2. Material properties and sizes of laminates' components

材料	弹性模量/GPa	泊松比	厚度/mm
金属层	72.4	0.3	1.9
预浸料层	54.6	0.252	0.9

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