Acoustic transient radiation from fluid‐loaded shells of revolution using time‐dependent in vacuo eigenvector expansions

A new method is presented to evaluate the acoustic transient radiation from fluid‐loaded shells of revolution which are excited by axisymmetric mechanical or acoustical excitations. This method is based on the use of an in‐vacuo modal vector (eigenvector) expansion with time‐dependent coefficients to describe the velocity field of the fluid‐loaded shell. Modal acoustic impulse responses which account for the coupling between the in‐vacuo modal vectors for the fluid‐loaded shell are introduced in the formulation of the general solution. The time‐dependent modal velocity coefficients are expressed as the solution of a set of coupled convolution integral equations which are readily solved by marching forward in time. The associated time‐dependent surface pressure is subsequently expressed as a modal vector expansion in which the time‐dependent coefficients are readily related to the modal velocity coefficients. Since the surface velocity and pressure are then known, the time‐dependent pressures in the field ...