0
TECHNICAL PAPERS

Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method

[+] Author and Article Information
C.-H. Lin, M.-H. R. Jen

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

J. Appl. Mech 70(3), 391-403 (Jun 11, 2003) (13 pages) doi:10.1115/1.1574059 History: Received September 07, 2000; Revised June 05, 2001; Online June 11, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

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.
Ambartsumyan, S. A., 1961, Theory of Anisotropic Shells, Moscow, English translation, NASA-TT-F118, 1964.
Flügge, W., 1996, Stress in Shells, Springer, Berlin, pp. 1851–1858.
Chaudhuri,  R. A., 1986, “Arbitrarily Laminated, Anisotropic Cylindrical Shell Under Internal Pressure,” AIAA J., 24(11), pp. 1851–1858.
Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, Dover, New York.
Kjellmert,  B., 1997, “A Chebyshev Collocation Multidomain Method to Solve the Reissner-Mindlin Equations for the Transient Response of an Anisotropic Plate Subjected to Impact,” Int. J. Numer. Methods Eng., 40, pp. 3689–3702.
Lu,  Y. Y., 1995, “A Chebyshev Collocation Method for Computing the Eigenvalues of the Laplacian,” Int. J. Numer. Methods Eng., 38, pp. 231–243.
Wright,  K., 1963–1964, “Chebyshev Collocation Methods for Ordinary Differential Equations,” Comput. J., 6, pp. 358–365.
Fox, L., and Parker, I. B., 1968, Chebyshev Polynomials in Numerical Analysis, Oxford University Press, Oxford UK.
Jones, R. M., 1975, Mechanics of Composite Materials, Scripta Mathematica, New York.
Tsai, S. W., and Hahn, H. T., 1980, Introduction to Composite Materials, Technomic, Lancaster, PA.
Boyd, J. P., 1989, Chebyshev and Fourier Spectral Methods, Springer-Verlag, New York.
Karageorghis,  A., 1991, “A Note on the Satisfaction of the Boundary Conditions for Chebyshev Collocation Methods in Rectangular Domains,” J. Sci. Comput., 6(1), pp. 21–26.
Clenshaw,  C. W., and Norton,  H. J., 1963–1964, “The Solution of Nonlinear Ordinary Differential Equations in Chebyshev Series,” Comput. J.,, 6, pp. 88–92.
Norton,  H. J., 1964, “The Iterative Solution of Non-Linear Ordinary Differential Equations on Chebyshev Series,” Comput. J., 7, pp. 76–85.

Figures

Grahic Jump Location
Position vectors of a surface
Grahic Jump Location
Nomenclature for stress resultants and shear stress resultants
Grahic Jump Location
Nomenclature for moment resultants
Grahic Jump Location
Contour of the cylindrical shell
Grahic Jump Location
Geometry of multilayered laminate
Grahic Jump Location
Displacement of u1 in Case 1
Grahic Jump Location
Displacement of u2 in Case 1
Grahic Jump Location
Displacement of w in Case 1
Grahic Jump Location
Stress resultant N1 in Case 1
Grahic Jump Location
Stress resultant N2 in Case 1
Grahic Jump Location
Stress resultant N12 in Case 1
Grahic Jump Location
Moment resultant M1 in Case 1
Grahic Jump Location
Moment resultant M2 in Case 1
Grahic Jump Location
Moment resultant M12 in Case 1
Grahic Jump Location
The centerpoint deflection versus the change of shell curvature in Case 1
Grahic Jump Location
Displacement of u1 in Case 2
Grahic Jump Location
Displacement of u2 in Case 2
Grahic Jump Location
Displacement of w in Case 2
Grahic Jump Location
Stress resultant N1 in Case 2
Grahic Jump Location
Stress resultant N2 in Case 2
Grahic Jump Location
Stress resultant N12 in Case 2
Grahic Jump Location
Moment resultant M1 in Case 2
Grahic Jump Location
Moment resultant M2 in Case 2
Grahic Jump Location
Moment resultant M12 in Case 2
Grahic Jump Location
The centerpoint deflection versus the change of shell curvature in Case 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In