Damping performance of a new chiral negative Poisson's ratio structure
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摘要: 负泊松比结构作为一种典型的超材料结构，凭借其独特的变形机制与吸能特性，在航空航天、汽车交通等领域被广泛应用，但关于其减振特性的研究相对较少，研发同时具有高承载和优异缓冲吸能、阻尼减振等性能的多功能负泊松比结构的研究则更稀缺。受星形及内凹形负泊松比结构启发，提出了一种新型手性负泊松比结构，设计并使用3D打印技术制备了4种不同几何参数的构型。在前期的研究中，已发现该新型结构表现出优异的静力学性能及能量吸收特性。基于此，本文通过实验与数值模拟相结合的方式表征新型结构的减振性能，并与传统非手性负泊松比结构进行了对比。研究结果表明：该新型手性负泊松比结构负泊松比效应越强，减振性能越优。相关结果与规律可为新型手性负泊松比减振结构的设计提供理论指导。Abstract: As a typical metamaterial, negative Poisson's ratio structures have been widely used in aerospace, automotive, and other fields due to their unique deformation mechanism and energy absorption characteristics. However, there is relatively little research on its vibration damping characteristics. Research on the development of multifunctional negative Poisson's ratio structures with simultaneous excellent load-bearing, energy-absorbing and vibration-damping properties is even more scarce. Inspired by the star-shaped and inner-concave negative Poisson's ratio structure, a novel chiral negative Poisson's ratio structure is proposed. Four configurations with different geometric parameters are designed and prepared by 3D printing technology. In the previous study, it has been found that the novel structure exhibits excellent static properties and energy absorption characteristics. Based on this, the damping performances of novel structures are demonstrated by combination of experiments and numerical simulations, which are compared with that of the conventional non-chiral negative Poisson's ratio structure. The results show that the stronger the negative Poisson's ratio effect of novel chiral negative Poisson's ratio structure, the better the vibration damping performance. The results and laws can provide theoretical guidance for the design of the novel chiral negative Poisson's ratio vibration damping structure.
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图 2 胞元几何参数[20]
Figure 2. Geometrical parameters of unit cells[20]
R1—Inner diameter of star-shaped cell; R2—Outer diameter of star-shaped cell; H—Side length of star-shaped cell; L—Side length of hexagon cell; K—Length between star-shaped cell and hexagon cell; t—Thickness; θ—Angle of star-shaped cell; γ—The ratio of t to R2
图 7 各结构时域响应曲线
Figure 7. Time domain response curves of different structures
T—Loading time
图 8 所有结构实验所得加速度振级落差(VLD)
Figure 8. Vibration level drop (VLD) curves of different structures obtained from experiments
图 9 不同结构平均振级落差与泊松比的变化关系
Figure 9. Variation of the average VLD with Poisson's ratio for different structures
图 12 各构型仿真与实验结果对比
Figure 12. Comparison of experimental and simulated results for all configurations
表 1 N01的基本力学参数
Table 1. Performance parameters of configuration N01
Specimen lable $ {v}_{12} $ $ {\rho }_{\mathrm{r}} $ $ {{E}_{1}^{*}}/{{E}_{\mathrm{s}}} $ N01 0 2.260γ 0.5γ Notes: $ {v}_{12} $—Poisson's ratio; $ {\rho }_{\mathrm{r}} $—Relative density; $ {E}_{1}^{*} $—Young's modulus of the structure; $ {E}_{\mathrm{s}} $—Young's modulus of the material. 
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表 2 新型由星形与内凹六边形组合在一起中心对称而成的蜂窝结构(WSH)的几何参数[20]
Table 2. Geometrical parameters of windmill-like configuration composed of stars and hexagons (WSH) auxetic configurations[20]
Specimen label λ γ t/mm Size/mm3 N01 0 0.152 1 125×125×63 N12 1/2 N23 2/3 N11 1 Note: λ—The ratio of R1 to R2.
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Specimen
labelLength of
unit cell/mmAngle of
unit cell/(°)t/mm Size/
mm3S 16.0 36.8 1 125×125×63 H 16.3 63.4 Notes: S—Star; H—Hexagon.
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Parameter Es/MPa v $ {\rho }_{\mathrm{s}} $/(kg·m−3) Value 1358 0.33 940 Notes: v—Poisson's ratio; $ {\rho }_{\mathrm{s}} $—Material density.
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表 5 不同网格密度的尺寸及数量
Table 5. Size and quantity of different mesh
Average size/mm Mesh quantity Coarse mesh 4.75 157638 Normal mesh 3.00 304943 Finer mesh 1.70 765621
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