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.

中文翻译：

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缺陷界面引起的非线性弹性超材料的可调谐机械二极管


在本研究中，研究了具有不完善界面的非线性弹性超材料中的非互易传输。基于Bloch定理和刚度矩阵方法，获得了基频和双频情况下不完美界面的带隙和传输系数。讨论了非线性声子晶体和弹性超材料的界面对传输行为的影响。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，还进行了实验来支持理论分析。目前的研究预计将有助于设计具有弹性超材料的非互易传输和二极管行为的可调谐器件。