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

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,...

Full description

Saved in:
Bibliographic Details
Published inAcoustical Science and Technology Vol. 37; no. 5; pp. 211 - 220
Main Authors Araki, Yozo, Samejima, Toshiya
Format Journal Article
LanguageEnglish
Published ACOUSTICAL SOCIETY OF JAPAN 01.01.2016
Subjects
Cylindrical shell
Fourier series expansion
Hermite interpolation
Spectral collocation method
Vibration analysis
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1346-3969
1347-5177
DOI:10.1250/ast.37.211