Free Flexural Vibration of an Elastically Restrained Elliptical Plate Subjected to an In-Plane Force
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概要
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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.
- 一般社団法人 日本機械学会の論文
著者
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SATO KENZO
Department of biochemistry, Kawasaki Medical College
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SATO Kenzo
Department of Engineering and Information Science, Faculty of Education and Human Studies, Akita University
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