新型十字形负泊松比蜂窝结构的抗冲击性能

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摘要负泊松比力学超材料具有高可设计性、轻量化以及抗冲击方面的优势，引起学者们的关注，对内凹六边形结构、手性结构等经典构型进行了广泛研究。提出了一种新型的十字形负泊松比蜂窝结构，基于能量法对该结构泊松比的解析式进行了推导，所得解析解与有限元结果吻合良好，证明了推导方法的有效性；针对不同冲击速度和不同杆长比例系数的十字形蜂窝结构的变形模式、冲击载荷下的名义应力应变曲线以及能量吸收特性进行了研究。结果表明：杆长比例系数越小，泊松比越小；冲击速度和杆长比例系数会影响十字形蜂窝结构的变形模式、冲击载荷下的名义应力应变曲线和平台应力；十字形蜂窝结构的体吸能在中速冲击下会随应变增大出现增长加快现象，而高速冲击下体吸能增长趋势不再随应变增大出现加快但呈现出规律的波浪形增长。

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	刘涛1
	肖正明1
	黄江成1
	刘卫标2

关键词 ：负泊松比, 十字形蜂窝结构, 能量法, 变形模式, 能量吸收

Abstract：Negative Poisson's ratio mechanical metamaterials have attracted the attention of scholars because of their advantages in high designability, lightweight and impact resistance. Classical configurations such as concave hexagonal structure and chiral structure have been extensively studied. In this paper, a new type of cross negative Poisson's ratio honeycomb structure is proposed. Based on the energy method, the Poisson's ratio of the structure is derived. The analytical solution is in good agreement with the finite element results, which proves the effectiveness of the derivation method. The deformation mode, nominal stress-strain curve and energy absorption characteristics of cross honeycomb structure with different impact velocity and rod length ratio coefficient are studied. The results show that the smaller the ratio coefficient of rod length is, the smaller the Poisson's ratio is. The impact velocity and rod length ratio coefficient affect the deformation mode, the nominal stress-strain curve and the platform stress of the cross honeycomb structure under impact load. The body energy absorption of cross honeycomb structure will accelerate with the increase of strain at medium speed, while the growth trend of energy absorption is no longer accelerated with the increase of strain at high speed but shows regular wavy growth.

Key words： negative Poisson’s ratio cross-shaped cellular structure energy method deformation modes energy absorption

收稿日期: 2022-04-19 出版日期: 2023-06-15

引用本文:

刘涛1，肖正明1，黄江成1，刘卫标2. 新型十字形负泊松比蜂窝结构的抗冲击性能[J]. 振动与冲击, 2023, 42(11): 183-192.
LIU Tao1, XIAO Zhengming1, HUANG Jiangcheng1, LIU Weibiao2. Impact resistance of new cross negative Poisson’s ratio honeycomb structure. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(11): 183-192.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I11/183

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