https://doi.org/10.1051/epjap/2023220225
Regular Article
Vibration analysis of a composite elastic metamaterial plate based on a semi-analytical method
1
Harbin Engineering University, College of Mechanical and Electrical Engineering, 150001 Harbin, P.R. China
2
Qiqihar University, College of Mechanical and Electrical Engineering, 161006 Qiqihar, P.R. China
3
Chizhou Vocational and Technical College, Department of Electromechanical and Automobile, 247100 Chizhou, P.R. China
* e-mail: shujs@hrbeu.edu.cn
Received:
28
August
2022
Received in final form:
12
December
2022
Accepted:
30
January
2023
Published online: 10 March 2023
A semi-analytical vibration analyzing process is presented for a kind of finite composite elastic metamaterial plate by combining the effective medium theory and the first-order shear deformation sandwich plate theory, and the natural and steady-state vibration characteristics of such complex composite structure are investigated by means of equivalent analysis. The effectiveness of the semi-analytical analyzing process is demonstrated and some extraordinary vibration behaviors of such composite structure are revealed, such as there is no natural frequency in the bandgap, the modal density consistently increases around the bandgap's starting frequency, and the modes of the appropriate orders before and after the bandgap are consistent at the macroscopic level. The semi-analytical analyzing process and the special vibration behaviors may provide useful reference for relevant investigation and design of composite elastic metamaterial plate structures in the field of vibration control and isolation.
© EDP Sciences, 2023
