4912 面内力の作用を受ける周辺弾性支持楕円形板の自由たわみ振動(G10-6 振動解析(1),G10 機械力学・計測制御)
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This report presents the study on the free flexural vibration of an elliptical plate whose edge is rigidly supported against displacement and restrained elastically against rotation. In addition, the plate is subjected to a uniform in-plane force in its middle plane. The vibration solution is rigorously obtained in a form of Mathieu function series according to the ordinary thin plate theory neglecting the effect of shear deformation and rotary inertia. The frequency equation is derived by applying the orthogonality of the Mathieu function. The dimensionless eigenfrequencies calculated numerically are tabulated against various dimensionless rotational spring stiffneses and in-plane forces for some aspect ratios.
- 一般社団法人日本機械学会の論文
- 2006-09-15
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関連論文
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