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

Acoustical Science and Technology

Yozo Araki²  Toshiya Samejima¹ 

[1]Faculty of Design, Kyushu University

[2]Graduate School of Design, Kyushu University

关键词: Spectral collocation method;    Hermite interpolation;    Fourier series expansion;    Cylindrical shell;    Vibration analysis;   

DOI  :  10.1250/ast.37.211

学科分类：声学和超声波

来源: Acoustical Society of Japan

【 摘 要 】

References(16)Cited-By(1)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.

【 授权许可】

Unknown