壁面开孔蜂窝结构异面压缩的力学性能研究

龚曙光; 肖前程; 谢桂兰

doi:10.13433/j.cnki.1003-8728.20200193

壁面开孔蜂窝结构异面压缩的力学性能研究

doi: 10.13433/j.cnki.1003-8728.20200193

湘潭大学机械工程学院, 湖南湘潭 411105

基金项目:

国家自科科学基金项目 51875493

国家自科科学基金项目 51975503

详细信息

作者简介:
龚曙光(1964-), 教授, 博士生导师, 研究方向为多学科结构优化, CAE技术的理论与应用研究, gongsg@xtu.edu.cn

中图分类号: TB332
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- 文章访问数: 170
- HTML全文浏览量: 46
- PDF下载量: 16
- 被引次数: 0
出版历程
- 收稿日期: 2020-10-17
- 刊出日期: 2021-10-09

Study on Mechanical Properties of Out-of-plane Compression for Honeycomb Structure with Holes in Wall

School of Mechanical Engineering, Xiangtan University, Xiangtan 411105, Hu'nan, China

摘要

摘要: 为探讨壁面开孔蜂窝在准静态异面压缩下的平均压缩应力, 基于简化的超折叠单元理论, 以开孔"Y"型单胞为研究对象, 推导了壁面开孔蜂窝结构的平均压缩应力计算式。通过建立不同孔边比的有限元模型, 研究了平均压缩应力计算式中延展面积的影响因子, 在尺度因子为1的情况下, 延展面积影响因子与孔边比成线性关系。通过对具有不同厚边比的壁面开孔蜂窝平均压缩应力的数值计算, 验证了理论计算式的准确性, 并探讨了孔形状和尺度因子对平均压缩应力的影响。结果表明, 壁面开孔蜂窝结构的平均压缩应力主要受绞线的变化及延展面积的影响, 平均压缩应力随孔边比的增大而减小, 当尺度因子增大时, 其延展面积会减小, 与尺度因子为1时相比, 当尺度因子增大到使压缩过程较稳定时, 平均压缩应力下降40%左右。
- 力学性能 /
- 平均压缩应力 /
- 孔边比 /
- 尺度因子 /
- 蜂窝结构
Abstract: In order to study the mean compression stress of honeycomb with holes in wall under quasi-static out of plane compression, in terms of the simplified super folding element theory, the calculation formula of the mean compression stress of honeycomb structure with holes in wall was derived by taking the "Y" type cell as the objective. By establishing the finite element model for the hole to edge ratio, the influence factor of the extended area in the calculation formula of the mean compression stress was determined. The influence factor of the extended area at a scale factor of 1 has a linear relation with the hole to edge ratio. The accuracy of the theoretical formula is verified by calculating the mean compression stress of the honeycomb with different thickness to edge ratio, and the influence of the hole shape and scale factor on the mean compression stress was discussed. The results showed that the mean compression stress of the honeycomb with holes in wall was mainly affected by the strand and the extended area, and the mean compression stress decreased with the increasing of hole-side ratio. The extension area decreased with the increasing of scale factor, and comparing with a scale factor of 1, the mean compression stress decreased about 40% while the increase in the scale factor made the compression process be more stable.
- mechanical property /
- mean compression stress /
- hole-to-edge ratio /
- scale factor /
- honeycomb structure

HTML全文

图 1 蜂窝的几何构型

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图 2 基本折叠单元折叠过程

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图 3 基本折叠单元的延展区

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图 4 有限元模型图

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图 5 不同λ的名义应力应变曲线

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图 6 不同孔径比胞壁开孔蜂窝的变形模式

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图 7 孔边比与平均压缩应力的散点图

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图 8 孔边比延展面积影响因子散点图

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图 9 不同开孔形状的示意图

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图 10 尺度因子的定义

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图 11 不同尺度因子名义应力应变曲线图

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图 12 尺度因子平均压缩应力关系图

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表 1 平均压缩应力数值结果与理论结果对比

孔边比	厚边比	数值解	本文理论	误差/%
0.35	0.010 0	0.282	0.271	3.90
	0.012 5	0.389	0.378	2.82
	0.015 0	0.516	0.497	3.68
0.50	0.010 0	0.222	0.223	-0.45
	0.012 5	0.325	0.312	4.00
	0.015 0	0.423	0.409	3.31
0.65	0.010 0	0.168	0.172	-2.38
	0.012 5	0.242	0.240	0.82
	0.015 0	0.299	0.315	-5.07

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表 2 圆孔与方孔胞壁开孔蜂窝平均压缩应力对比

孔边比	圆孔应力/MPa	方孔应力/MPa
0.35	0.389	0.388
0.50	0.325	0.331
0.65	0.242	0.238
0.80	0.166	0.166

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