Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1759864 | Ultrasonics | 2010 | 8 Pages |
Abstract
A method based on the solution to a generalized eigenproblem of hybrid matrix is presented for stable analysis of Floquet wave propagation in one-dimensional phononic crystals with solids and fluids. The method overcomes the numerical instability in the standard eigenproblem of transfer matrix, thus enabling Floquet waves to be determined reliably. The recursion relations of hybrid matrix for periodic multilayered structure of various solid and/or fluid phases are formulated. Dispersion relation and omnidirectional reflection for one-dimensional phononic crystals with solids and fluids are discussed. The frequency–thickness range of phononic bandgap is determined conveniently based on the Floquet wavenumbers.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Acoustics and Ultrasonics
Authors
Eng Leong Tan,