Free and Forced Wave Motion in a Two-Dimensional Plate with Radial Periodicity

In many practical engineering situations, a source of vibrations may excite large and flexible structure such as ship’s deck, an aeroplane fuselage, satellite antenna, wall panel. To avoid transmission the vibration structure-borne sound, radial or polar periodicity be used. these cases, numerical approaches to study free forced wave propagation close excitation in coordinates are desirable. This is paper’s aim, where method based on Floquet-theory FE discretision finite slice periodic presented verified. Only small analysed, which approximated using piecewise Cartesian segments. Wave characteristics each segment obtained by theory structures Finite Element analysis, while amplitude change due changes geometry accommodated model assuming that energy flow through segments same. Forced response then evaluated domain. Results verified for infinite isotropic thin plate excited point harmonic force. A with thickness studied. Free waves shown, nearfield evaluated, showing validity computational advantage compared analysis structures.