A BOUNDARY ELEMENT FORMULATION FOR RADIATION OF ACOUSTIC-WAVES FROM AXISYMMETRICAL BODIES WITH ARBITRARY BOUNDARY-CONDITIONS

This paper presents a computational technique using the boundary element method for the prediction of sound radiated by axisymmetric bodies with arbitrary boundary conditions. By taking advantage of the axisymmetric property of the body, the three-dimensional integral formulation is reduced to a one-dimensional integral along the generator of the body. The arbitrary boundary condition is expanded in a Fourier series with respect to the angle of revolution. The integral equation is solved using a superposition principle involving each term of the series. A numerical procedure is implemented using a curvilinear isoparametric element representation. Examples are given involving an oscillating sphere and a half vibrating sphere. The results are compared with the analytical solutions in which good agreement has been obtained.