Mechanical and flow excited vibrations of elastic plates and cylindrical shells in dense fluids

Mechanical and flow excited vibrations of elastic plates and cylindrical shells in dense fluids are presented. The perturbation method is used to connect the basic equations in fluid mechanics and acoustics. A computer model based on a boundary fitted coordinate transformation is used to solve the two dimensional incompressible viscous time dependent fluid flow problem. Numerical results for flow over vibrating plates and flow across vibrating cylindrical shells are presented. Several fluid acoustic solid interaction problems are addressed using a generic block diagram model. These problems include both viscous and inviscid flows over elastic plates and shells. The emphasis was to determine the near field surface pressure distribution on the elastic vibrators. The surface pressure for the forced vibration of elastic plates in contact with inviscid fluid flow is predicted using time and wavenumber domain approaches. The surface pressure on an elastic plate for the coupled fluid plate problem was addressed through analytical and numerical approaches. The surface pressure on a cylindrical shell with a specified radial excitation without flow is addressed by a modal expansion technique.