Upon the basic theory of functionally graded material cylindrical shell, the original 3-D foundational equations with variable coefficients are transformed into anisotropic and membrane-bending coupling 2-D equations with constant coefficients. The separation-of-variables mode shape functions in axial and circumferential directions for cylindrical shells with infinite and finite lengths are proposed for analytic solutions, which satisfy the basic differential equations, of natural vibration. The general approach presented in the paper for the solutions of natural frequency and mode shape of functionally graded cylindrical shells can be applied to cylindrical shells with any kind of functionally graded material, different length, and boundary conditions.
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February 2012
Research Papers
Natural Vibration of Functionally Graded Cylindrical Shells With Infinite and Finite Lengths
Zhiyuan Cao,
Zhiyuan Cao
School of Aerospace Engineering and Applied Mechanics, Tongji University
, Shanghai 200092, P. R. China
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Shougao Tang
e-mail: tangsg@mail.tongji.edu.cn
Shougao Tang
School of Aerospace Engineering and Applied Mechanics, Tongji University
, Shanghai 200092, P. R. China
Search for other works by this author on:
Zhiyuan Cao
School of Aerospace Engineering and Applied Mechanics, Tongji University
, Shanghai 200092, P. R. China
Shougao Tang
School of Aerospace Engineering and Applied Mechanics, Tongji University
, Shanghai 200092, P. R. China
e-mail: tangsg@mail.tongji.edu.cn
J. Vib. Acoust. Feb 2012, 134(1): 011013 (4 pages)
Published Online: December 28, 2011
Article history
Received:
April 27, 2005
Revised:
June 14, 2007
Accepted:
July 5, 2007
Online:
December 28, 2011
Published:
December 28, 2011
Citation
Cao, Z., and Tang, S. (December 28, 2011). "Natural Vibration of Functionally Graded Cylindrical Shells With Infinite and Finite Lengths." ASME. J. Vib. Acoust. February 2012; 134(1): 011013. https://doi.org/10.1115/1.4004900
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