Investigation of 1D periodic and quasi-periodic phononic crystals

In this article, 1D quasi-periodic phononic crystals with Fibonacci, generalized Fibonacci, and Thue-Morse patterns have been investigated using the transfer matrix method and the results are compared to the periodic structure for equal thickness of the alternating layers. The reflection of the proposed solid -solid (lead/epoxy) structures with semi -infinite layers of lead have been calculated for the longitudinal and transverse waves in low normalized frequency range. It has been shown that the quasi-periodic structures shift the band gap edge towards lower normalized frequencies for the longitudinal and shear waves. Also, some structures such as TM4, F6, and FC(3,3) showed the potentiality to extend the longitudinal phononic band gap to the cost of minor and negligible dips introduced into the reflection spectra.

کلیدواژه ها:

Fibonacci ، Phononic crystal ، Quasi-periodic ، TMM.