INFLUENCE OF PRESSURE AND DENSITY OF THE SURROUNDING MEDIUM ON THE FREQUENCY SPECTRUM OF RECTANGULAR PLATES HINGED ALONG THE PERIMETER
K. B. Sabitov, A. G. Khakimov
R. R. Mavlutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia
Keywords: thin plate, liquid, gas, density, pressure, added mass, velocity potential, frequency spectrum, vibration mode shapes
Abstract
The frequency spectrum and mode shapes of flexural vibrations of rectangular plates in contact with a liquid or gas are determined. An expression is derived for the distributed transverse load on a plate hinged along its contour. The plate surfaces are in contact with a medium characterized by varying density and pressure. The medium may be either compressible or incompressible. The effects of mean pressure, curvature of the mid-surface, and the added mass of the gaseous medium on the plate’s bending behavior are evaluated.
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