激波管聚酯膜片变形过程分析

何起光; 张伟; 陈小伟; 徐剑鹏

doi:10.11883/bzycj-2017-0409

激波管聚酯膜片变形过程分析

doi: 10.11883/bzycj-2017-0409

1.
哈尔滨工业大学航天学院高速撞击动力学实验室，黑龙江哈尔滨 150001
2.
北京理工大学前沿交叉科学研究院，北京 100081

基金项目: 国家自然科学基金(11627901)

详细信息

作者简介:
何起光（1994－　），男，硕士，478440913@qq.com

通讯作者:
张　伟（1964－　），男，博士，教授，zhdawei@hit.edu.cn

中图分类号: O347.5; O354
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- 被引次数: 0
出版历程
- 收稿日期: 2017-11-10
- 修回日期: 2018-05-07
- 网络出版日期: 2019-03-25
- 刊出日期: 2019-03-01

Analysis on the deformation process of PET shock tube diaphragm

1.
High Velocity Impact Dynamics Lab, School of Astronautics, Harbin Institute of Technology,Harbin 150001, Heilongjiang, China
2.
Advanced Research Institute for Multidisciplinary Science, Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 使用聚酯薄膜作为激波管膜片，通过施加不同压力的激波管实验，获得了膜片厚度及多张膜片的组合方式对膜片所能承受最大压力的影响。利用高速相机对激波管膜片从开始变形到破坏的全过程进行拍摄，使用三维DIC软件获得膜片在变形过程中的位移场。实验发现了膜片会出现圆弧反翘并快速破坏的特别现象，并以此为特征将变形过程分为2个阶段。给出任意厚度膜片第1阶段圆弧变形的数学规律及第2阶段圆弧反翘的形状特征，以及全过程中膜片厚度变化的数学规律。
- 激波管 /
- 膜片变形 /
- 聚酯薄膜 /
- 三维DIC
Abstract: In order to investigate the effect of diaphragms thickness and combination on the maximum bearing pressure, the shock tube experiment was conducted on the PET diaphragms with different thicknesses. Two high-speed cameras were used to capture and record the whole deformation process of the PET diaphragms. The diaphragms displacement field at different moments were obtained by 3D-DIC. An unusual interesting phenomenon was observed that the diaphragms were recurved and then dramatically ruptured, and thus the diaphragm defamation was divided into two stages. The diaphragms deformation of any thickness in the first stage, and the shape characteristic of the diaphragm recurvation in the second stage as well as the thickness variation during the whole process were analyzed.
- shock tube /
- deformation of diaphragm /
- PET /
- 3D-DIC

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图 1 实验装置示意图及照片

Figure 1. Schematic diagram and photo of experimental equipment

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图 2 膜片的应力应变曲线

Figure 2. Stress-strain curves of the diaphragm

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图 3 不同厚度及组合方式的膜片的破坏压力

Figure 3. Maximum bearing pressure of diaphragm with different thickness and combination

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图 4 三种厚度的膜片在不同压力条件下的变形

Figure 4. Deformation of diaphragms with three different thicknesses under different pressures

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图 5 DIC处理后所得不同压力条件下0.2 mm厚膜片变形的典型结果

Figure 5. Deformation of diaphragm with 0.2 mm in thickness by 3D-DIC analysis

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图 6 三种不同厚度膜片的变形轮廓曲线

Figure 6. Profiles of deformation of diaphragms with different thicknesses

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图 7 膜片中心挠度与压力曲线

Figure 7. Relation between maximum deflection of diaphragm and pressure

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图 8 膜片厚度减小量的分布曲线

Figure 8. Distribution curves of thickness reduction

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图 9 膜片中心的厚度减小量与压力曲线

Figure 9. Relation between maximum thickness reduction of diaphragm and pressure

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图 10 模型计算所得曲线与实验结果的对比

Figure 10. Contrast of deflection and radius between experiment and calculation

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图 11 模型计算所得膜片厚度变化与实验结果的对比

Figure 11. Contrast of thickness between experiment and calculation

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表 1 不同膜片组合及厚度的最大破坏压力

Table 1. The maximum bearing pressure of different diaphragms thickness and combinations

膜片使用数量			总厚度/mm	最大破坏压力/MPa	膜片使用数量			总厚度/mm	最大破坏压力/MPa
0.05 mm	0.1 mm	0.2 mm	总厚度/mm	最大破坏压力/MPa	0.05 mm	0.1 mm	0.2 mm	总厚度/mm	最大破坏压力/MPa
1	0	0	0.05	0.311	4	2	1	0.6	3.446
2	0	0	0.1	0.626	0	0	3	0.6	3.344
0	1	0	0.1	0.566	0	0	4	0.8	4.411
4	0	0	0.2	1.181	4	0	4	1	5.568
0	2	0	0.2	1.214	0	2	4	1	5.514
0	0	1	0.2	1.089	0	0	5	1	5.524
4	0	1	0.4	2.244	4	2	4	1.2	6.632
0	2	1	0.4	2.292	0	0	6	1.2	6.659
0	4	0	0.4	2.417

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表 2 三种不同厚度膜片临界点的数据

Table 2. Data of critical point in diaphragm with three different thickness

临界点	厚度/mm	压力/MPa	挠度/mm	平均挠度/mm	k'/(GPa·m⁻¹)	\small$\overline {k{\rm{'}}} $/(GPa·m⁻¹)
Q₁	0.05	0.271	22.81	22.84	5.42	5.440
Q₂	0.1	0.545	22.95		5.45
Q₃	0.2	1.08	22.75		5.45
Q₁^*	0.05	0.278	26.02	26.47	5.56	5.563
Q₂^*	0.1	0.557	26.01		5.56
Q₃^*	0.2	1.114	27.43		5.57

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