梯度模式对Miura-ori超材料力学性能影响的研究

doi:10.12382/bgxb.2022.0883

摘要/Abstract

摘要：

Miura-ori超材料是一种重量轻且多孔的材料,其机械性能通常是由自身的折叠方式和几何形状决定的,它的机械响应可以通过几何设计来进行修正调整,是一种具有多功能的、可调控且设计空间多样的超材料。为研究厚度渐变(Thickness Gradient,TG)模式以及锐角渐变模式对超材料能量吸收能力的影响,结合有限元分析软件参数化分析超材料的力学特性。研究结果表明, TG梯度为负梯度的超材料能量吸收能力较好,并且负梯度时的TG梯度超材料的平均力和能量吸收比锐角梯度超材料表现更佳。

关键词: Miura-ori超材料, 梯度模式, 厚度渐变, 有限元分析, 力学性能

Abstract:

Miura-ori metamaterials are lightweight and porous structures whose mechanical properties are often determined by their folding modes and geometries. Their mechanical responses can be modified by geometric design. Therefore, Miura-ori metamaterial is a metamaterial with multifunctional, adjustable and spatially diverse design. In order to study the effects of thickness gradient (TG) mode and acute gradient mode on the energy absorption capacity of metamaterials, the mechanical properties of metamaterials were analyzed parametrically using the finite element software. The results show that the metamaterials with negative TG have better energy absorption capability, and the average force and energy absorption of metamaterials with negative TG are better than those with the acute gradient.

Key words: Miura-ori metamaterial, gradient mode, thickness gradient, finite element analysis, mechanical property

中图分类号:

TU318

项新梅, 罗林林, 符祖书, 何世珠. 梯度模式对Miura-ori超材料力学性能影响的研究[J]. 兵工学报, 2024, 45(2): 618-627.

XIANG Xinmei, LUO Linlin, FU Zushu, HE Shizhu. Effect of Gradient Mode on Mechanical Properties of Miura-ori Metamaterials[J]. Acta Armamentarii, 2024, 45(2): 618-627.

图/表 12

图1 Ori1超材料

Fig.1 Ori1 metamaterial

图2 Miura-ori超材料折叠单元

Fig.2 Folding unit of Miura-ori metamaterial

图3 4种不同厚度渐变模式的超材料

Fig.3 The metamaterials with four different thickness gradient modes

图4 真实与名义应力-应变对比

Fig.4 Comparison of real and nominal stress-strain curves

表1 不同厚度渐变模式的超材料变形

Table 1 Deformations of metamaterials with different thickness gradients

图5 不同厚度渐变梯度超材料力-位移曲线

Fig.5 Force-displacement curves of gradient metamaterials with different thickness gradients

图6 不同厚度渐变梯度超材料PCF和Fm的比较

Fig.6 Comparison of PCF and Fm of metamaterials with different thickness gradients

表2 锐角渐变超材料参数

Table 2 Parameters of metamaterials with acute gradients

梯度类型	超材料编号	从上到下各单元层锐角/(°)	梯度间隔
	Ori2_(56-64)_2	56,58,60,62,64,64,62,60,58,56	2.0
Ori2	Ori2_(51-67)_4	51,55,59,63,67,67,63,59,56,51	4.0
	Ori2_(46-70)_6	46,52,58,64,70,70,64,58,52,46	6.0
	Ori3_(57-64)_3.5	57,60.5,64,60.5,57,57,60.5,64,60.5,57	3.5
Ori3	Ori3_(55-66)_5.5	55,60.5,66,60.5,55,55,60.5,66,60.5,55	5.5
	Ori3_(53-68)_7.5	53,60.5,68,60.5,53,53,60.5,68,60.5,53	7.5
	Ori4_(56-64)_2	64,62,60,58,56,56,58,60,62,64	2.0
Ori4	Ori4_(51-67)_4	67,63,59,56,51,51,55,59,63,67	4.0
	Ori4_(46-70)_6	70,64,58,52,46,46,52,58,64,70	6.0
	Ori5_(55-63)_4	63,59,55,59,63,63,59,55,59,63	4.0
Ori5	Ori5_(53-64)_5.5	64,58.5,53,58.5,64,64,58.5,53,58.5,64	5.5
	Ori5_(51-65)_7	65,58,51,58,65,65,58,51,58,65	7.0

表3 不同梯度模式超材料变形图比较

Table 3 Comparison of the deformations of metamaterials with different gradient modes

图7 不同梯度模式超材料的力-位移

Fig.7 Force-displacement curves of metamaterials with different gradient modes

图8 不同梯度模式超材料的PCF和Fm 的对比

Fig.8 Comparison of PCF and Fm for the metamaterials with different gradient modes

图9 不同梯度模式的超材料AE对比

Fig.9 Comparison of AEs for the metamaterials with different gradient modes

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