The governing equations of a laminated anisotropic cylindrical shell problem are a system of partial differential equations. The boundary conditions will complicate the problem. Thus, it is hard to handle the governing equations in the form of functions of independent variables. Herein, Chebyshev collocation method is proposed to achieve the exact solution theoretically of such a difficult problem. Finally, two examples with numerical results are presented. The preciseness and efficiency of the proposed Chebyshev collocation method for laminated anisotropic shell problem are highlighted.
Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, September 7, 2000; final revision, June 5, 2001. Associate Editor: M. Ortiz. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Lin , C., and Jen, M. R. (June 11, 2003). "Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method ." ASME. J. Appl. Mech. May 2003; 70(3): 391–403. https://doi.org/10.1115/1.1574059
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