当前位置: X-MOL 学术Int. J. Mod. Phys. B › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Analysis of vibration characteristics of elastic metamaterial sandwich beam
International Journal of Modern Physics B ( IF 1.7 ) Pub Date : 2021-06-17 , DOI: 10.1142/s0217979221501605
Haisheng Shu 1 , Yongchun Xu 1 , Di Mu 1 , Xiaotian Wang 1 , Yu Wang 1
Affiliation  

Elastic metamaterials (EMs) are a new kind of artificial composite medium composed of complex micro-structural elements, which have unique dynamic properties and elastic wave regulation ability that their constituent materials do not possess. The existing researches on EMs mainly focus on wave characteristics in two-dimensional and three-dimensional infinite domains. However, actual EM structures are always in the form of finite structures such as rods, beams and plates, so it is more important for engineering applications to understand and master their natural and forced vibration characteristics. Therefore, it is necessary to establish an effective simplified solution method and framework with certain accuracy for the vibration analysis of such structures. In the early stage, we have studied the natural and forced vibration characteristics of EM beams from this point of view, and presented a simplified solution process. In this paper, a kind of sandwich beam structure with EMs as the core is further constructed, the simplified solution process is extended to such more practical model analysis, and the free and steady forced vibration analysis processes of the finite-size sandwich beam are given. The vibration characteristics different from the traditional sandwich beam are investigated, and some interesting and useful phenomena are revealed, including the absence of natural frequencies within bandgap (BG), the gathering of natural frequencies in the vicinity of band edges, and the particular modal correspondence before and after BG. Then, the corresponding formation mechanisms are explained from the perspective of wave propagation.

中文翻译:

弹性超材料夹层梁振动特性分析

弹性超材料(EMs)是一种由复杂微结构元素组成的新型人工复合介质,具有其组成材料所不具备的独特的动态特性和弹性波调节能力。现有的电磁学研究主要集中在二维和三维无限域中的波特性。然而,实际的电磁结构总是以杆、梁、板等有限结构形式存在,因此了解和掌握它们的自然和受迫振动特性对于工程应用更为重要。因此,有必要为此类结构的振动分析建立一种有效的、具有一定精度的简化求解方法和框架。在早期阶段,我们从这个角度研究了电磁梁的自然和受迫振动特性,并提出了一个简化的求解过程。本文进一步构建了一种以EMs为核心的夹层梁结构,将简化求解过程推广到更实用的模型分析,给出了有限尺寸夹层梁的自由稳定受迫振动分析过程。 . 研究了与传统夹层梁不同的振动特性,揭示了一些有趣且有用的现象,包括带隙(BG)内自然频率的缺失,带边缘附近的自然频率聚集,以及特定的模态对应BG 前后。然后,
更新日期:2021-06-17
down
wechat
bug