Abstract
In the present paper, the free flexural vibrations of an elliptical plate with simply supported edge are considered by the use of Mathieu functions and modified Mathieu functions which are solutions of the differential equation of motion. The boundary conditions of simple support of an elliptical plate are obtained and the frequency equation of symmetrical vibrations about both axes is lead from those boundary conditions. The nondimensional frequencies calculated numerically for the first five normal modes of vibrations are shown in graphs for various eccentricities.
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