Fourier series expansion type of spectral collocation method for vibration analysis of cylindrical shells

Yozo Araki, Toshiya Samejima

    研究成果: ジャーナルへの寄稿学術誌査読

    4 被引用数 (Scopus)

    抄録

    An analysis method using a spectral collocation method for the vibration of cylindrical shells is proposed. Conventional spectral collocation methods have difficulty applying boundary conditions to fourth-order differential equations such as vibration equations of cylindrical shells. In this paper, an Hermite differentiation matrix is developed such that the proposed spectral collocation method can treat flexibly various boundary conditions. Since the vibration displacement of a cylindrical shell is periodic in the circumferential direction, it is solved semi-analytically using the Fourier series expansion. It is shown that the proposed method can offer more accurate solutions at a smaller number of unknowns, in less computation time and required memory than a finite element method.

    本文言語英語
    ページ(範囲)211-220
    ページ数10
    ジャーナルAcoustical Science and Technology
    37
    5
    DOI
    出版ステータス出版済み - 2016

    !!!All Science Journal Classification (ASJC) codes

    • 音響学および超音波学

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