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.
Skip Nav Destination
e-mail: tangsg@mail.tongji.edu.cn
Article navigation
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
Search for other works by this author on:
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
Download citation file:
Get Email Alerts
Cited By
Boundary-Element Analysis of the Noise Scattering for Urban Aerial Mobility Vehicles: Solver Development and Assessment
J. Vib. Acoust (October 2024)
Related Articles
Nonlinear Analysis of a Thin Circular Functionally Graded Plate and Large Deflection Effects on the Forces and Moments
J. Eng. Mater. Technol (January,2008)
Use of Functionally Graded Material Layers in a Two-Layered Pressure Vessel
J. Pressure Vessel Technol (October,2011)
Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials—Part I: Crack Perpendicular to the Material Gradation
J. Appl. Mech (July,2003)
Three-Dimensional Solutions of Smart Functionally Graded Plates
J. Appl. Mech (March,2001)
Related Proceedings Papers
Related Chapters
Supplementary Material
Vibrations of Linear Piezostructures
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels, Third Edition
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels