Flexural Vibrations of a Ring of Rectangular Cross Section

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概要

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• Various theories have been established concerning the two-dimensional type of flexural vibrations of a ring of rectangular cross section. However, for the three-dimensional type no adequate theory is given yet for a wide range of the length-to-diameter ratios of a ring. In this paper, the natural frequencies for both types are obtained by solving the characteristicvalue problem for a finite, circular cylindrical shell with both ends free and by means of a numerical evaluation using a digital computer. The paper involves two kinds of analyses : One starts from Love's fundamental equations for a thin, circular cylindrical shell. The other is based on a Timoshenko-type theory of a shell. Compared with the experimental results, the theoretical results prove to be valid for a wide range of the dimensional parameters of a ring, even for the ring whose length is about equal to or less than the thickness.

• 一般社団法人日本機械学会の論文

著者

• Taniguchi Osamu

  Faculty Of Engineering Tokyo Institute Of Technology

• ENDO Mituru

  Faculty of Engineering, Tokyo Institute of Technology

• Endo Mituru

  Faculty Of Engineering Tokyo Institute Of Technology

関連論文

• Flexural Vibrations of a Ring of Rectangular Cross Section
• An Approximate Formula for the Flexural Vibration of a Ring of Rectangular Cross Section

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