基于灰色理论的两点爆炸起爆参数优化设计

顾强; 张世豪; 安晓红; 张亚

doi:10.11883/1001-1455(2015)03-0359-07

基于灰色理论的两点爆炸起爆参数优化设计

doi: 10.11883/1001-1455(2015)03-0359-07

中北大学机电工程学院, 山西太原 030051

详细信息

作者简介:
顾强(1961—), 男, 硕士, 教授, 硕士生导师, hg14gu@163.com

中图分类号: O382
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- 被引次数: 0
出版历程
- 收稿日期: 2014-02-19
- 修回日期: 2014-05-17
- 刊出日期: 2015-05-25

Optimization design for priming parameters of two-point explosion based on gray theory

College of Mechatronic Engineering, North University of China, Taiyuan 030051, Shanxi, China

摘要

摘要: 针对混凝土两点爆炸起爆参数选择问题, 提出了一种基于灰色理论的参数优化方法。通过正交试验方法设计试验方案, 运用AUTODYN软件进行了不同起爆参数组合条件下的静爆试验, 计算了起爆参数与爆坑直径、爆坑深度的关联系数和关联度, 进行了单目标因素优化和多目标因素优化, 确定了一组各因素的优选组合, 并进行了试验验证。验证结果表明:采用优化的起爆参数时, 爆坑直径增大(4~42)%, 左爆坑深度增大(0~29)%, 右爆坑深度增大(0~32)%, 两点爆炸混凝土靶体的毁伤效果得到明显改善。
- 爆炸力学 /
- 灰色理论 /
- 关联度 /
- 混凝土 /
- 正交试验 /
- 优化
Abstract: Aimed at the selection problem of priming parameters of two-point explosion in concrete, a method for optimizing the parameters was proposed based on the gray theory.The experimental program was developed by the orthogonal experimental design technique, static explosion experiments were simulated by the software AUTODYN under different priming parameters.The gray relational degree and the gray incidence coefficient between the priming parameters and crater diameter as well as crater depth were calculated.The optimization of the priming parameters was done based on the single-objective function and the multi-objective function, and the additional production experiments were completed.The results show that the crater diameter increases 4%-42%, the left crater depth increases(0-29)%and the right crater depth increases(0-32)%by means of the optimized parameters, the damage effect of two-point explosion in concrete is improved than before.
- mechanics of explosion /
- gray theory /
- relational degree /
- concrete /
- orthogonal experiment /
- optimization

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图 1 两点爆炸有限元计算模型

Figure 1. FEA calculation model for two-point explosion

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图 2 爆坑半径随装药埋深的变化

Figure 2. Variation of crater radius with charge depth

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图 3 2 ms时9种工况下靶体毁伤云图

Figure 3. Damage coutors of targets in 9 cases at 2 ms

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图 4 灰色关联分析法步骤

Figure 4. Steps of gray relational analysis method

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图 5 优化后起爆参数毁伤云图

Figure 5. Damage coutor by means of optimized priming parameters

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表 1 正交试验因素水平

Table 1. Factor level of orthogonal experiment

水平	α	β	T/μs
水平1	12.500	0.000	0
水平2	15.625	0.116	25
水平3	18.250	0.232	50

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表 2 正交试验设计方案

Table 2. Design schemes of orthogonal experiment

工况	L₁/mm	L₂/mm	T/μs
1	12.500	0.000	0
2	12.500	0.116	25
3	12.500	0.232	50
4	15.625	0.000	50
5	15.625	0.116	0
6	15.625	0.232	25
7	18.250	0.000	25
8	18.250	0.116	50
9	18.250	0.232	0

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表 3 正交试验各序列区间值像

Table 3. Sequences region value of orthogonal experiment

工况	序列区间值像
工况	L₁	L₂	T	d	h₁	h₂
1	0.0	0.0	0.0	0.238	1.0	0.333
2	0.0	0.5	0.5	0.095	0.2	0.889
3	0.0	1.0	1.0	0.000	0.2	0.667
4	0.5	0.0	1.0	0.333	0.2	0.111
5	0.5	0.5	0.0	0.524	0.2	0.333
6	0.5	1.0	0.5	0.476	0.6	1.000
7	1.0	0.0	0.5	0.714	0.4	0.000
8	1.0	0.5	1.0	0.952	0.2	0.333
9	1.0	1.0	0.0	1.000	0.0	0.667

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表 4 不同因素在不同水平下

Table 4. Gray relational degrees and gray incidence coefficients between crater diamemter and different factors at different levels

工况	关联度系数
工况	L₁	L₂	T
1	0.627	0.627	0.627
2	0.808	0.497	0.497
3	1.000	0.286	0.286
4	0.705	0.546	0.375
5	0.943	0.943	0.433
6	0.943	0.433	0.943
7	0.583	0.359	0.651
8	0.893	0.469	0.893
9	1.000	1.000	0.286
关联度	0.834	0.573	0.554

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表 5 不同因素在不同水平下对左侧爆坑深度的关联度系数和关联度

Table 5. Gray relational degrees and gray incidence coefficients between left crater depth and different factors at different levels

工况	关联度系数
工况	L₁	L₂	T
1	0.444	0.444	0.444
2	0.800	0.727	0.727
3	0.800	0.500	0.500
4	0.727	0.800	0.500
5	0.727	0.727	0.800
6	0.889	0.667	0.889
7	0.571	0.667	0.889
8	0.500	0.727	0.500
9	0.444	0.444	1.000
关联度	0.656	0.634	0.694

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表 6 不同因素在不同水平下对右侧爆坑深度的关联度系数和关联度

Table 6. Gray relational degrees and gray incidence coefficients between right crater depth and different factors at different levels

工况	关联度系数
工况	L₁	L₂	T
1	0.678	0.678	0.678
2	0.441	0.643	0.643
3	0.512	0.678	0.678
4	0.643	0.863	0.441
5	0.807	0.808	0.678
6	0.583	1.000	0.583
7	0.412	1.000	0.583
8	0.512	0.807	0.512
9	0.678	0.678	0.512
关联度	0.585	0.795	0.590

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表 7 单指标下平均灰色关联度系数

Table 7. Average gray incidence coefficient in single objective function

试验因素	水平	平均灰色关联度系数
试验因素	水平	D	h₁	h₂
α	12.500	0.812	0.681	0.544
	15.625	0.864	0.781	0.678
	18.250	0.825	0.505	0.534
β	0.000	0.511	0.637	0.847
	0.116	0.636	0.727	0.753
	0.232	0.573	0.537	0.785
T/μs	0	0.449	0.748	0.623
	25	0.697	0.835	0.603
	50	0.518	0.500	0.544

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表 8 多项指标灰色关联系数平均值

Table 8. Average gray incidence coefficient in multi-objective function

试验因素	灰色关联系数
试验因素	1	2	3
L₁	0.679	0.774	0.621
L₂	0.665	0.705	0.632
T	0.607	0.712	0.521

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