Natural Vibrations of a Tapered Beam

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概要

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• This is a theoretical and experimental study of natural frequencies of bending vibrations of a beam with non-uniform cross section. General solution of the differential equation of the eigenvalue problem has been obtained by making use of power series solutions. This solution is applied to a uni-tapered cantilever with I-type cross section, and the nondimensional frequency equation is introduced, yielding a good coincidence of the numerical computations with experimental values concerning the natural frequencies. Secondly, a uni-tapered beam with rectangular cross section supported at two intermediate points is taken up, giving a nondimensional frequency equation. Numerical results are compared with those obtained by the Frobenius method, demonstrating the superiority of the series solution to the Frobenius method.

• 一般社団法人日本機械学会の論文

著者

• SATO Seiji

  Faculty and Graduate School of Sciences, Kyushu University

• Kuroda Michio

  Faculty Of Engineering Seikei University

• HATANO Shigeko

  Faculty of Engineering, Seikei University

• Hatano Shigeko

  Faculty Of Engineering Seikei University

• Sato Seiji

  Faculty Of Engineering Seikei University

• KURODA Michio

  Faculty of Engineering, Seikei University

関連論文

• Design and Preparation of Universal Anti-PERIOD Antibodies and their Immunoresponses
• Natural Vibrations of a Tapered Beam
• Natural Vibratos of a Uni-tapered Beam with Two Intermediate Supporting Points

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