Li Zhen-Ni, Wang Yi-Ze, Wang Yue-Sheng
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, People's Republic of China.
Department of Mechanics, Tianjin University, Tianjin, 300350, People's Republic of China.
Proc Math Phys Eng Sci. 2021 Jan;477(2245):20200357. doi: 10.1098/rspa.2020.0357. Epub 2021 Jan 20.
In this investigation, the non-reciprocal transmission in a nonlinear elastic metamaterial with imperfect interfaces is studied. Based on the Bloch theorem and stiffness matrix method, the band gaps and transmission coefficients with imperfect interfaces are obtained for the fundamental and double frequency cases. The interfacial influences on the transmission behaviour are discussed for both the nonlinear phononic crystal and elastic metamaterial. Numerical results for the imperfect interface structure are compared with those for the perfect one. Furthermore, experiments are performed to support the theoretical analysis. The present research is expected to be helpful to design tunable devices with the non-reciprocal transmission and diode behaviour of the elastic metamaterial.
在本研究中,对具有不完美界面的非线性弹性超材料中的非互易传输进行了研究。基于布洛赫定理和刚度矩阵方法,得到了不完美界面在基频和倍频情况下的带隙和传输系数。讨论了界面非线性声子晶体和弹性超材料对传输行为的影响。将不完美界面结构的数值结果与完美界面结构的数值结果进行了比较。此外,还进行了实验以支持理论分析。预期本研究将有助于设计具有弹性超材料非互易传输和二极管行为的可调谐器件。