On the Transverse Vibration of an Elliptic Plate with Clamped Edge

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概要

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• The transverse vibration of a uniform thin elliptic plate with clamped edge is solved in an exact manner by the use of Mathieu functions and modified Mathieu functions. The relationship between the frequency of the fundamental mode of vibration and the eccentricity of the elliptic plate is shown graphically. Also, an approximate formula for the said relationship is derived correct to the fourth power of the eccentricity, which may be adequately used in case when the eccentricity is not so large.

• 一般社団法人日本物理学会の論文
• 1956-07-05

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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