The scattering of guided waves through a complex structure is of great importance in predicting vibration energy transmission and reflection across structures. Multi-scale models based on generalized continuum theory have been developed recently to investigate the vibration behavior of complex media in the frame of continuum mechanics. In this study, models based on the second strain gradient theory are employed together with a scattering matrix method to study the wave transmission and reflection through non-classical coupling regions between two waveguides. Numerical results are presented for longitudinal and bending waves through 1-D coupling interfaces. Upon which we discuss the local behavior of the internal heterogeneity in the complex coupling region and its impact on wave scattering properties at coupling interfaces. The results obtained also show that the proposed approach is of great potential in the investigation of vibration transmission control by enriching a waveguide’s internal structure.

通过复杂结构的导波散射对于预测跨结构的振动能量传输和反射非常重要。最近开发了基于广义连续介质理论的多尺度模型，以研究连续介质力学框架下复杂介质的振动行为。在本研究中，基于第二应变梯度理论的模型与散射矩阵方法一起用于研究通过两个非经典耦合区域的波传输和反射。波导。给出了通过一维耦合界面的纵波和弯曲波的数值结果。在此基础上，我们讨论了复杂耦合区域中内部异质性的局部行为及其对耦合界面处波散射特性的影响。获得的结果还表明，所提出的方法在通过丰富波导的内部结构来研究振动传输控制方面具有巨大的潜力。