Abstract
Background
Micro-nano phononic crystals (PCs) have natural advantages in applications such as vibration reduction and noise reduction, and the manufacture of acoustic functional devices. There is a lack of an efficient and accurate means of calculation and simulation on new mechanisms in micro-nano PCs. The numerical method for the development of a micro-nano PC structure needs further development.
Purpose
Therefore, it’s extremely necessary for the development of a sufficient and accuracy methodology to investigate the propagation and control of elastic waves in the micro-nano PC structure.
Methods
In this paper, wave dynamic models of one-dimensional micro-nano rod and beam structures are constructed to study elastic wave propagation in micro-nano PCs by nonlocal finite element method combination with the nonlocal elastic continuum theory.
Results
The results show that the propagation characteristics of the elastic wave in the micro-nano PC rod and beam structures have varied significantly compared with the macro-scale PC rod and beam structures due to the existence of the size effect. Frequency shift can be observed in micro-nano PC rod and beam when one changes the value of the nonlocal parameter.
Conclusions
The research indicates that different longitudinal and flexural wave speeds can affect the wave propagation characteristics in the micro-nano PC rod and beam. This study can provide a theoretical guide for the engineering application of micro-nano phononic crystal structures.