On the Buckling of an Elliptic Plate with Clamped Edge I

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概要

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• The buckling of a uniform thin elliptic plate with clamped edge whose periphery is subject to a uniform normal pressure in the plane of the plate is solved formally in an exact manner by the use of hyperbolic functions, circular functions, Mathieu functions and modified Mathieu functions. An approximate formula for the relationship between the critical buckling load and the eccentricity of the elliptic plate is derived correct to the fourth power of the eccentricity, which may be adequately used in case when the eccentricity is not so large.

• 社団法人日本物理学会の論文
• 1956-10-05

著者

• Shibaoka Yoshio

  Institute Of Polytechnics Osaka City University

関連論文

• On the Buckling of an Elliptic Plate with Clamped Edge, II
• On the Buckling of an Elliptic Plate with Clamped Edge I
• On the Transverse Vibration of an Elliptic Plate with Clamped Edge

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