铝合金分瓣模压印接头的强度预测模型

王玉涛; 曾凯; 邢保英; 何晓聪

doi:10.13433/j.cnki.1003-8728.20220048

铝合金分瓣模压印接头的强度预测模型

doi: 10.13433/j.cnki.1003-8728.20220048

昆明理工大学机电工程学院，昆明　650500

基金项目: 国家自然科学基金项目（51565022，51565023）

详细信息

作者简介:
王玉涛（1996−），硕士研究生，研究方向为薄板材料连接，2676726174@qq.com

通讯作者:
曾凯，副教授，硕士生导师，1965746102@qq.com

中图分类号: TB31
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- 文章访问数: 78
- HTML全文浏览量: 39
- PDF下载量: 11
- 被引次数: 0
出版历程
- 收稿日期: 2021-06-24
- 刊出日期: 2023-08-31

Strength Prediction Model of Aluminum Alloy Clinched Joints Formed With Segmental Mandrel

Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China

摘要

摘要: 采用Box-behnken design(BBD)实验设计法，开展铝合金压印接头的工艺试验研究。试验过程选用了5182、5052和6061这3种铝合金薄板，建立了以冲压力、板材厚度、板材硬度为影响因素,以失效载荷为响应值的多元回归模型，并进行了试验验证。结果表明：建立的多元回归模型可以预测铝合金压印接头的拉剪失效载荷，最大误差为17.7%，其误差在工程应用范围内较小；且方差分析表明，各因素对失效载荷影响程度大小的顺序为冲压力、板材硬度、板材厚度；压印接头的失效载荷随冲压力的增大呈先增大后减小的趋势，随板材厚度的增大呈先减小后增大的趋势，板材硬度对接头失效载荷的影响呈正线性相关性。
- 压印连接 /
- 响应面法 /
- 回归模型 /
- 预测模型
Abstract: Based on the Box-behnken design (BBD) test design method, the mechanical properties analysis of aluminum alloy clinched joints was carried out. Three kinds of aluminum alloy sheets 5182、5052 and 6061 were used in the test. A multivariate regression model with punching pressure, sheet thickness and sheet hardness as the influence factors and failure load as response value was established, and the model was verified via experiments. The results show that the multivariate regression model can accurately predict the tension-shear failure load of aluminum alloy clinched joints in a certain range of processing parameters, the maximum error is 17.7%, and the error is small in application. Variance analysis shows that the impact on the failure load is the largest in the order of punching pressure, followed by the sheet hardness and the sheet thickness. The failure load of the clinched joint firstly increases and then decreases with the increasing of punching pressure, and firstly decreases and then increases with the increasing of sheet thickness. The influence of the sheet hardness on the failure load of joint is positively linear correlation.
- clinching /
- response surface method /
- regression model /
- prediction mode

HTML全文

图 1 实验设备、分瓣模具及试件剖面图

Figure 1. Experimental equipment, segmental mandrel and Specimen cross-section

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图 2 残差正态概率及真实值与预测值对比

Figure 2. Normal probability of residuals and comparison of true and predicted values

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图 3 单因素对失效载荷的影响

Figure 3. Effect of single factor on failure loads

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图 4 冲压力和板材硬度对失效载荷的响应面和等高线图

Figure 4. Surface and contour plots of the response of punching force and plate hardness to failure loads

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表 1 试验因素及水平设计

Table 1. Experimental factors and level design

因素编码值	冲压力 X₁/kN	板材硬度 X₂/HBR	板材厚度 X₂/mm
−1	32.2	18.6	1
0	38.4	31.0	1.5
1	48.7	55.3	2

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表 2 实验方案及结果

Table 2. Experimental program and results

组号	冲压力 X₁/kN	板材硬度 X₂/HRB	板材厚度 X₃/mm	失效载荷 Y/kN
1	32.2	18.6	1.5	1.5
2	48.7	18.6	1.5	2.1
3	32.2	55.3	1.5	0.33
4	48.7	55.3	1.5	3.19
5	32.2	31	1	1.7
6	48.7	31	1	2.51
7	32.2	31	2	2.1
8	48.7	31	2	2.21
9	38.4	18.6	1	2
10	38.4	55.3	1	2.87
11	38.4	18.6	2	2.05
12	38.4	55.3	2	3.55
13	38.4	31	1.5	2.15
14	38.4	31	1.5	2.13
15	38.4	31	1.5	2.12

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表 3 失效载荷响应面回归模型的方差分析

Table 3. ANOVA of the response surface regression model for failure loads

因素	平方和	自由度	均方差	F值	Prob>F
模型	5.85	6	0.98	4.30	0.0310
X₁	3.09	1	3.09	13.61	0.0061
X₂	1.00	1	1.00	4.41	0.0689
X₃	0.086	1	0.086	0.38	0.5549
X₁X₂	1.29	1	1.29	5.70	0.0440
X₁ ²	1.11	1	1.11	4.89	0.0579
X₃ ²	0.72	1	0.72	3.18	0.1124
失拟项	1.81	6	0.30	1295.78	0.0008

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表 4 验证实验结果

Table 4. Results of validation experiments

组号	基板材料	冲压力/kN	板材硬度/HRB	板材厚度/mm	预测值/kN	试验均值/kN	相对误差/%
1	5182	44.3	18.6	2.0	2.499	2.141	16.7
2	1420	56.1	62.0	1.5	3.374	2.867	17.7

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