Liu Jiayang, Li Shu
School of Aeronautic Science and Engineering, Beihang University, 37 Xueyuan Road, Beijing 100191, China.
Materials (Basel). 2023 Dec 15;16(24):7669. doi: 10.3390/ma16247669.
The bandgap tuning potential offered by negative-stiffness lattice structures, characterized by their unique mechanical properties, represents a promising and burgeoning field. The potential of large deformations in lattice structures to transition between stable configurations is explored in this study. This transformation offers a novel method for modifying the frequency range of elastic wave attenuation, simultaneously absorbing energy and effectively generating diverse bandgap ranges. In this paper, an enhanced lattice structure is introduced, building upon the foundation of the normal negative-stiffness lattice structures. The research examined the behavior of the suggested negative-stiffness lattice structures when subjected to uniaxial compression. This included analyzing the dispersion spectra and bandgaps across different states of deformation. It also delved into the effects of geometric parameter changes on bandgap properties. Furthermore, the findings highlight that the normal negative-stiffness lattice structure demonstrates restricted capabilities in attenuating vibrations. In contrast, notable performance improvements are displayed by the improved negative-stiffness lattice structure, featuring distinct energy band structures and variable bandgap ranges in response to differing deformation states. This highlights the feasibility of bandgap tuning through the deformation of negatively stiffened structures. Finally, the overall metamaterial structure is simulated using a unit cell finite element dynamic model, and its vibration transmission properties and frequency response patterns are analyzed. A fresh perspective on the research and design of negative-stiffness lattice structures, particularly focusing on their bandgap tuning capabilities, is offered in this study.
负刚度晶格结构具有独特的力学性能,其提供的带隙调谐潜力代表了一个充满前景且蓬勃发展的领域。本研究探索了晶格结构中发生大变形以在稳定构型之间转变的潜力。这种转变提供了一种新颖的方法来改变弹性波衰减的频率范围,同时吸收能量并有效地产生不同的带隙范围。本文在常规负刚度晶格结构的基础上,引入了一种增强型晶格结构。该研究考察了所提出的负刚度晶格结构在单轴压缩时的行为。这包括分析不同变形状态下的色散谱和带隙。研究还深入探讨了几何参数变化对带隙特性的影响。此外,研究结果表明常规负刚度晶格结构在衰减振动方面能力有限。相比之下,改进后的负刚度晶格结构表现出显著的性能提升,具有独特的能带结构以及根据不同变形状态而变化的带隙范围。这突出了通过负刚度结构的变形进行带隙调谐的可行性。最后,使用单胞有限元动态模型对整体超材料结构进行了模拟,并分析了其振动传递特性和频率响应模式。本研究为负刚度晶格结构的研究与设计提供了一个全新的视角,尤其关注其带隙调谐能力。