CYLINDRICAL WAVES IN STRUCTURES PERIODIC IN POLAR COORDINATES

Abstract eng:
The paper is concerned with application of the Floquet theory for analysis of wave propagation in periodic in polar coordinates elastic structures. Although analysis of the periodicity effects in structures periodic in Cartesian coordinates is a well-established research subject, much less attention has been paid so far to vibroisolation in a membrane or a plate loaded by a point force or by a force distributed on the circle. The cancellation of the energy transfer in such a case may be achieved by employing periodicity of circular strips co-centric with the circle, where the driving force is applied. The paper addresses the similarities and differences in performance of infinite and finite structures periodic in Cartesian and polar coordinates.

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