Abstract
The principle of virtual velocities is employed herein to develop a variational theorem for determining the vibratory and acoustical response of high speed mechanisms immersed in a perfect fluid (air). Both the solid and fluid media are modeled as continua and the basic functional expression is generalized by using Lagrange multipliers to incorporate field equations, boundary conditions and a kinematic constraint on the intetface region between the two types of continua. The resulting mixed variational equation of motion then provides the basis for finite element analyses of these acousto-mechanical systems by mixed and displacement (velocity) formulations.
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