Abstract
The method of wave superposition is applied to the case of a circular, cylindrical shell with hemispherical endcaps. The velocity profile on the surface of the cylinder is taken to be the solution of the Donnell‐Mushtari‐Vlasov equations for a circular, cylindrical shell with clamped‐clamped end conditions, while the velocity on the endcaps is taken to be zero. By determining a finite number of interior sources whose fields, when summed, closely approximate the acoustic field due to the shell, an equivalent representation of the field is generated. The velocities and pressures on the surface of the shell are then calculated, along with the power radiated by the shell. Convergence of the calculated power is shown to be a nearly linear function of the mean‐square error in the reconstructed surface velocities. Also, the effect of small perturbations in the velocity input (for example, as a result of the inexactness of modal analysis techniques) is shown to have little effect on the calculated radiated power.
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