Control of sound and vibration for cylindrical shells by utilizing a periodic structure of functionally graded material

A periodic shell made of functionally graded material (FGM) is proposed in this Letter. Wave propagation and vibration transmission in the FGM periodic shell for different circumferential modes are investigated. By illustrating the dynamical behavior of the periodic FGM shell within the pass/stop band frequency ranges, the mechanism of wave propagation and vibration transmission in the shell are illuminated. Moreover, the suppression characteristics of structure-borne sound in the internal field of the shell, either within the stop or pass band frequency ranges, are studied. -- Highlights: ► Construction of a periodic shell used functionally graded material periodically. ► Investigation of wave propagation and vibration transmission. ► Dynamical behaviors and formation mechanism of band gap. ► Characteristics of acoustic pressure distribution.