Transverse vibrations of circular annular plates with edges elastically restrained against rotation, used in acoustic underwater transducers

S.A. VERA; M. FEBBO; C.A. ROSSIT; A.E. DOLINKO

OCEAN ENGINEERING

ELSEVIER

Año: 2002 vol. 29 p. 1201 - 1208

0029-8018

Simply supported or clamped boundary conditions are rather ideal situations difficult to satisfy from a physical viewpoint. This paper considers a more “moderate” restriction: the case of edges elastically restrained against rotation for which no exact solution appears in the open literature. Eigenvalues corresponding to a wide range of the intervening geometric and mechanical parameters are determined. Good agreement is obtained with frequency coefficients determined two decades ago by means of a variational method. Obviously the problem is of basic interest in many ocean engineering applications: from the design of certain underwater acoustic transducers to pump and compressor elements passing through the design of naval vehicles and ocean structures.