Three-Dimensional Elasticity Solutions of Laminated Annular Spherical Shells
Publication: Journal of Engineering Mechanics
Volume 126, Issue 8
Abstract
An asymptotic theory is presented for the analysis of laminated annular spherical shells by the perturbation method. By means of proper nondimensionalization, asymptotic expansion, and then successive integration of the basic equations through the thickness direction, we obtain the recursive sets of governing equations for the bending analysis of annular spherical shells. The method of differential quadrature is adopted for solving the problems of various orders. Illustrative examples are given to demonstrate the performance of the present asymptotic theory.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alwar, R. S., and Narasimhan, M. C. (1990). “Application of Chebyshev polynomials to the analysis of laminated axisymmetric spherical shells.” Compos. Struct., 15, 215–237.
2.
Bellman, R., and Casti, J. (1971). “Differential quadrature and long-term integration.” J. Math. Analy. Appl., 34, 235–238.
3.
Bellman, R., Kashef, B. G., and Casti, J. (1972). “Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations.” J. Comp. Phys., 10, 40–52.
4.
Bert, C. W., and Malik, M. (1996). “Differential quadrature method in computational mechanics: A review.” Appl. Mech. Rev., 49, 1–27.
5.
Bhimaraddi, A. (1991). “Free vibration analysis of doubly-curved shallow shells on rectangular planforms using three-dimensional elasticity theory.” Int. J. Solids and Struct., 27, 897–913.
6.
Fu, K. C., and Harb, A. I. (1990). “Integral equation method for spherical shell under axisymmetric loads.”J. Engrg. Mech., ASCE, 116(2), 309–323.
7.
Noor, A. K., and Burton, W. S. (1990). “Assessment of computational models for multilayered composite shells.” Appl. Mech. Rev., 43, 67–97.
8.
Qatu, M. S. (1999). “Accurate equations for laminated composite deep thick shells.” Int. J. Solid and Struct., 36, 2917–2941.
9.
Shu, C. (1996). “Free vibration analysis of composite laminated conical shells by generalized differential quadrature.” J. Sound and Vibration, 194, 587–604.
10.
Wu, C. P., Tarn, J. Q., and Chi, S. M. (1996). “Three-dimensional analysis of doubly curved laminated shells.”J. Engrg. Mech., ASCE, 122(5), 391–401.
11.
Ye, J. Q., and Soldatos, K. P. (1994). “Three-dimensional vibrations of laminated cylinders and cylindrical panels with a symmetric or an antisymmetric cross-ply lay-up.” Compos. Engrg., 4, 429–444.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 8 • August 2000
Pages: 882 - 885
History
Received: Jun 1, 1999
Published online: Aug 1, 2000
Published in print: Aug 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.