为提高二维双箭头负泊松比结构的初始刚度和强度，通过在二维结构中增加支撑连杆设计一种三维增强型双箭头负泊松比结构。利用力法正则方程和摩尔积分推导结构的宏观泊松比解析公式，采用理论分析结合数值模拟的方法研究角度设置对结构宏观泊松比的影响；在此基础上，系统研究了三维增强型双箭头负泊松比结构在动态冲击下的力学特性，阐明不同角度设计和冲击速度等参数对结构变形机理、失效模式、平台应力和比能量吸收的影响规律。结果表明，三维增强型双箭头负泊松比结构表现出显著的负泊松效应，且结构的刚度、强度明显提高；在不同的冲击速度作用下，三维增强型双箭头负泊松比结构的平台应力和比能量吸收均随角度减小而显著增强。研究结果对航空航天和船舶工程等领域的结构抗冲击性能研究具有借鉴意义。
To improve the initial stiffness and strength of the two-dimensional double arrow negative Poisson’s ratio structure, a three-dimensional enhanced double arrow negative Poisson’s ratio structure is designed by adding support links to the two-dimensional structure. The macro Poisson’s ratio analytical formula of the structure is derived by using the legislative canonical equation and Moore integral. The influence of the angle setting on the macro Poisson’s ratio of the structure is studied by using the method of theoretical analysis and numerical simulation; On this basis, the mechanical properties of three-dimensional enhanced double arrow negative Poisson’s ratio structure under dynamic impact are systematically studied. The effects of parameters such as different angle design and impact speed on structural deformation mechanism, failure mode, platform stress and specific energy absorption are clarified. The results show that the three-dimensional enhanced double arrow negative Poisson’s ratio structure shows a significant negative Poisson effect under dynamic impact, and the stiffness and strength of the structure are significantly improved; Under different impact velocities, the platform stress and specific energy absorption of the three-dimensional enhanced double arrow negative Poisson’s ratio structure increase significantly with the decrease of the angle. The research results have reference significance for the study of structural impact resistance in aerospace and ship engineering.
2024,46(6): 31-37 收稿日期：2023-03-14
DOI：10.3404/j.issn.1672-7649.2024.06.006
分类号：U674.70
基金项目：国家自然科学基金资助项目（12172098）
作者简介：陈思远(1994-),男,硕士,工程师,研究方向为轻质多功能结构设计及其抗冲击性能
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