Broadband vibration attenuation study and wave propagation analysis of extended arrow tetragonal lattice structure

Abstract

In order to reduce vibration and noise with wide frequency, a new extended arrow tetragonal lattice topology is proposed. The band gap characteristics are discussed by combining the finite element method and Bloch’s theorem. The generation principle of band gap is explained by vibration mode analysis. By topological optimization of the structure, band gap has obvious optimization effect. The propagation characteristics of elastic waves with a specific frequency in the structure are studied from the point of view of energy. Finally, the band gap frequency range is compared with the transmission function, and the stress cloud diagram is analyzed. The research shows that the structure has good band gaps and can play a good role in vibration and noise reduction. Through the topological design of the structure, the band gap frequency range of the structure is optimized, which provides a new design idea for wide frequency vibration attenuation.

Keywords:

• Wide band gap
• metamaterials
• group velocity
• phase velocity
• topology optimization

Disclosure statement

The authors declare that they do not have any financial and personal relationships with other people or organizations that represent a conflict of interest in connection with the manuscript submitted.

Additional information

Funding

The project was supported by the National Natural Science Foundation of China [Grant No. 12072222, 12132010, 12021002, 11991032], the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures [Grant No. SKLTESKF1901] and the Aeronautical Science Foundation of China [Grant No. ASFC-201915048001].