Phononic First Band Gap of Quaternary Layered Periodic Structure with the Lumped-Mass Method

Abstract EN

Existing band gap analysis is mostly focused on the binary structure, while the researches on the quaternary layered periodic structure are still lacking.

In this paper, the unidimensional lumped-mass method in the phonic crystal theory is firstly improved so that the material viscoelasticity can be taken into consideration.

Then, the binary layered periodic structure is converted into a quaternary one and band gaps appear at low frequency range.

Finally, the effects of density, elastic modulus, damping ratio, and the thickness of single material on the first band gap of the quaternary layered periodic structure are analyzed after the algorithm is promoted.

The research findings show that effects of density, elastic modulus, and thickness of materials on the first band gap are considerable but those of damping ratio are not so distinct.

This research provides theoretical bases for band gap design of the quaternary layered periodic structure.