Transmission Properties of One-Dimensional Galois Phononic Crystals

A one-dimensional phononic crystal model based on Galois structure is proposed. The transmission coefficients of the elastic waves are numerically calculated and compared with those of the periodical structure. Band gaps are found and the results show that if the number of medium layers is small, the frequency range of the band gap in the Galois structure and periodic structure is basically the same. However, with the increase of the number of medium layers, the frequency range of the band gap in the Galois structure increases, and the localized resonant modes appear in the band gap. The study of transmission properties of Galois structures is helpful to understand the propagation properties of classical elastic waves in aperiodic composite structures.