LOW-FREQUENCY VIBRATIONS AND RADIATION OF A CIRCULAR PLATE

The low-frequency vibrations of a circular elastic plate in an unbound ed acoustic medium are calculated by expanding the unknown solution of the problem in normal modes of vibration of the plate in vacuum. The load exerted by the surrounding fluid is taken into account as an addi tional mass and is determined by the numerical solution of the Neumann problem for the Helmholtz equation. The velocity of the plate and the pressure and energy flux in the fluid are analyzed. Cases in which th e fluid occupies all space or a half-space bounded by a baffle are dis cussed, along with the two types of edge conditions: a free edge and a rigidly built-in edge.