Research on Radial Vibration of a Circular Plate

Wei Liu, Donghua Wang, Hanfeng Lu, Yumeng Cao, Pengrong Zhang
2016 Shock and Vibration  
Radial vibration of the circular plate is presented using wave propagation approach and classical method containing Bessel solution and Hankel solution for calculating the natural frequency theoretically. In cylindrical coordinate system, in order to obtain natural frequency, propagation and reflection matrices are deduced at the boundaries of free-free, fixed-fixed, and fixed-free using wave propagation approach. Furthermore, radial phononic crystal is constructed by connecting two materials
more » ... ing two materials periodically for the analysis of band phenomenon. Also, Finite Element Simulation (FEM) is adopted to verify the theoretical results. Finally, the radial and piezoelectric effects on the band are also discussed.
doi:10.1155/2016/6758291 fatcat:ky55f2n2cngdhamhygir436kwy