Free-Flexural Vibrations of a Stepped Elliptical Plate Consisting of Confocal Elliptical Parts

抄録

The present work treats a free-flexural vibration problem of a stepped elliptical plate consisting of confocal elliptical parts. Based on the classical theory of thin plates, the exact analysis is developed in the elliptical cylinder coordinate system. The procedure leading to the frequency equation of the normal mode of symmetrical vibration about both axes is given for a stepped elliptical plate consisting of two confocal elliptical parts. Natural frequencies of the first two normal vibrations are calculated numerically and compared with experimental results by a resonance method.