星型-三角形负泊松比结构的面内压缩刚度可调控特性

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摘要通过准静态面内压缩试验揭示星型-三角形结构（star-triangular honeycomb，STH）的刚度可调控特性。利用有限元模拟的方法研究非均匀壁厚STH的面内压缩刚度可调控机制，分析不同类型胞壁厚度比(("t" _"1" "=" "t" _"3" ))⁄"t" _"2" 及胞壁角对其面内压缩刚度的影响。结果表明：STH在面内压缩载荷下呈两个线弹性阶段，且强化刚度比初始刚度显著增大。适当地增大内凹胞壁和垂直胞壁的厚度可同时提高STH的初始刚度及强化刚度；当(("t" _"1" "=" "t" _"3" ))⁄"t" _"2" >"1.575" 后，初始刚度仍持续增大，而强化刚度反而逐渐减小，最终不再具有强化刚度阶段。胞壁角"α"≤"40°" 时，增大胞壁角可提高STH的初始刚度及强化刚度，反之，初始刚度及强化刚度对应的应变随胞壁角的增大逐渐增大，而强化刚度逐渐减小并趋于消失。该研究将为可调节刚度负泊松比结构的设计提供新的思路。

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	魏路路1
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	许世维1
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	赵轩2

关键词 ：星型-三角形结构, 负泊松比, 可调控刚度, 非均匀壁厚, 准静态压缩

Abstract：Quasi-static in-plane compression tests were used to reveal the tunable stiffness characteristics of star-triangular honeycomb (STH). The tunable mechanism of compression stiffness for STH with non-homogeneous cell-wall thickness was investigated via finite element simulation, and the influences of different cell-wall thickness ratios (("t" _"1" "=" "t" _"3" ))⁄"t" _"2" and cell-wall angles on the in-plane compression stiffness were analyzed. The results show that the stress-strain curve of STH shows two linear elastic stages under in-plane compression loading, and the strengthening stiffness is significantly higher than the initial stiffness. Appropriately increasing the thickness of re-entrant and vertical cell-walls can significantly improve the initial stiffness and strengthening stiffness of STH. When (("t" _"1" "=" "t" _"3" ))⁄"t" _"2" >"1.575" , the initial stiffness continues to increase while the strengthening stiffness gradually decreases, and finally the strengthening stiffness phase disappears. When "α"≤"40°" , increasing the cell-wall angle can improve the initial stiffness and strengthening stiffness of STH. On the contrary, the initial stiffness and strain corresponding to strengthening stiffness gradually increased with the increase of cell-wall angle, while strengthening stiffness gradually decreased and tended to disappear. This study is expected to provide a novel path for design of auxetic honeycombs with tunable stiffness．

Key words： star-triangular honeycomb (STH) negative Poisson’s ratio tunable stiffness non-homogeneous cell-wall thickness quasi-static compression

收稿日期: 2022-11-23 出版日期: 2024-02-28

引用本文:

魏路路1,2，许世维1，朱国华2，赵轩2. 星型-三角形负泊松比结构的面内压缩刚度可调控特性[J]. 振动与冲击, 2024, 43(4): 105-114.
WEI Lulu1,2，XU Shiwei1，ZHU Guohua2，ZHAO Xuan2. In-plane compression tunable stiffness characteristics of star-triangular honeycomb with negative Poisson’s ratio. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(4): 105-114.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I4/105

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