Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method

Author:

Lin C.-H.1,Jen M.-H. R.1

Affiliation:

1. Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Kraus, H., 1972, Thin Elastic Shells: An Introduction to the Theoretical Foundations and the Analysis of Their Static and Dynamic Behavior, John Wiley and Sons, New York.

2. Ambartsumyan, S. A., 1961, Theory of Anisotropic Shells, Moscow, English translation, NASA-TT-F118, 1964.

3. Flu¨gge, W., 1996, Stress in Shells, Springer, Berlin, pp. 1851–1858.

4. Chaudhuri, R. A. , 1986, “Arbitrarily Laminated, Anisotropic Cylindrical Shell Under Internal Pressure,” AIAA J., 24(11), pp. 1851–1858.

5. Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, Dover, New York.

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