弧形类蜂窝芯层面外等效力学性能研究
殷圣地1，汤双清1，李响*,1,2，仇琨1，段宇1，陈涛1
（1.三峡大学 机械与动力学院，湖北 宜昌 443002；2.石墨增材制造技术与装备湖北省工程研究中心（三峡大学），湖北 宜昌 443002）
摘要：为提高蜂窝结构面外承载能力，从创新设计角度，提出一种弧形类蜂窝夹芯结构，并对其面外力学性能进行研究。首先，采用胞元理论对弧形类蜂窝夹芯结构进行简化，运用材料力学的知识并结合能量法，推导其面外等效模量解析表达式。然后，将弧形类蜂窝芯层结构与传统蜂窝芯层结构进行对比，在相同等效密度下，通过具体数据验算，发现弧形类蜂窝芯层的面外剪切模量有显著地提高。同时，推导出双壁厚弧形类蜂窝面外等效模量表达式。最后，运用数值模拟分析，得到该结构的仿真值，经过理论值与仿真值对比，发现两者相对误差在10%之内，证明推导出的面外等效模量理论公式的准确性。
关键词：弧形类蜂窝夹芯；面外等效模量；能量法；数值模拟
中图分类号：O342 文献标志码：A doi：10.3969/j.issn.1006-0316.2022.11.001
文章编号：1006-0316 (2022) 11-0001-08
Equivalent Mechanical Properties Outside the Layer of Arc-shaped Honeycomb Core
YIN Shengdi1，TANG Shuangqing1，LI Xiang1,2，QIU Kun1，DUAN Yu1，CHEN Tao1
( 1.College of Mechanical and Power Engineering, China Three Gorges University, Yichang 443002, China; 2.Hubei Engineering Research Center for Graphite Additive Manufacturing Technology and Equipment (China Three Gorges University), Yichang 443002, China )
Abstract：In order to improve the out-of-plane bearing capacity of the honeycomb structure, an arc-shaped honeycomb-like sandwich structure was proposed from the perspective of innovative design, and its out-of-plane mechanical properties were studied. Firstly, the arc-shaped honeycomb-like sandwich structure is simplified by using the cell theory, and the analytical expression of its out-of-plane equivalent modulus is deduced by using the knowledge of material mechanics and the energy methods. Then, the arc-shaped honeycomb-like core layer structure is compared with the traditional honeycomb-like core layer structure. Under the same equivalent density, it is found that the out-of-plane shear modulus of the arc-shaped honeycomb-like core layer is significantly improved through specific data verification. At the same time, the out-of-plane equivalent modulus expression of the double-wall-thickness arc-like honeycomb is derived. Finally, using numerical simulation analysis, the simulation value of the structure is obtained. After comparing the theoretical value and the simulation value, it is found that the relative error between the two is within 10%, which proves the accuracy of the derived theoretical formula of the out-of-plane equivalent modulus.
Key words：arc-shaped honeycomb sandwich；out-of-plane equivalent mechanical model；energy method；numerical simulation
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收稿日期：2022-02-28
基金项目：国家自然科学基金青年科学基金（51305232）
作者简介：殷圣地（1997－），男，湖北黄梅人，硕士研究生，主要研究方向为轻量化技术，Email：1572429532@qq.com。*通讯作者：李响（1979－），男，湖北黄梅人，博士，副教授，主要研究方向为轻量化技术、结构优化设计、数值模拟技术、结构强度与可靠性等，Email：lixiangcfy@ctgu.edu.cn。
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