Wave transmission and reflection analysis through complex media based on the second strain gradient theory

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.

Automated summary

This study employed models based on the second strain gradient theory and scattering matrix method to investigate wave transmission and reflection in complex media, as well as the impact of internal heterogeneity in coupling regions on wave scattering properties. The results indicate the potential of the proposed approach in studying vibration transmission control by enriching a waveguide's internal structure.