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

Yozo Araki, Toshiya Samejima

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)211-220
Number of pages10
JournalAcoustical Science and Technology
Volume37
Issue number5
DOIs
Publication statusPublished - Jan 1 2016

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cylindrical shells
collocation
Fourier series
series expansion
vibration
boundary conditions
finite element method
differential equations
matrices

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

Fourier series expansion type of spectral collocation method for vibration analysis of cylindrical shells. / Araki, Yozo; Samejima, Toshiya.

In: Acoustical Science and Technology, Vol. 37, No. 5, 01.01.2016, p. 211-220.

Research output: Contribution to journalArticle

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