抄録
The present paper is concerned with the free flexural vibration of an elliptical plate subjected to a uniform in-plane force in its middle plane. The edge of the plate treated here is rigidly supported against transverse displacement and restrained elastically against rotation. The rigorous expression of the vibration displacement is obtained in the form of a Mathieu function series in accordance with conventional thin-plate theory, neglecting the effects of shear deformation and rotary inertia. The frequency equation from which the eigenfrequencies can be obtained numerically is derived by applying the orthogonality of the Mathieu function. Numerical values of the lowest dimensionless eigenfrequencies are tabulated and graphed against various dimensionless rotational spring stiffnesses, dimensionless in-plane forces and aspect ratios.
