The vibrations and radiated noise associated with a constrained spherical shell in response to a turbulent boundary layer excitation

Abstract

An analysis is presented of a constrained, fluid‐loaded, thin spherical shell subjected to a random pressure field associated with a turbulent boundary layer (TBL) excitation. The constraint is modeled as an axisymmetric, radially oriented impedance ring and the TBL is defined in terms of a cross‐spectral density. Numerical results are generated for the spectrum density of the shell response as well as for the associated radiated pressure field. It is shown that under the assumption of an effectively delta function‐like correlation length for the TBL pressure field, the constraint can have a far greater effect on the radiated pressure than on the overall response of the shell itself.