Applications of FEM on Free and Forced Vibration of Laminated Shells
Publication: Journal of Engineering Mechanics
Volume 124, Issue 1
Abstract
In this paper, the finite element method has been applied to solve free and forced vibration problems of isotropic and laminated composite shells with and without cutouts employing the eight-node isoparametric finite element formulation. Specific numerical problems of earlier investigators are solved to compare their results. Moreover, free vibration problems of cylindrical, spherical, saddle (hyperbolic paraboloid bounded by parabolas), hypar (hyperbolic paraboloid bounded by straight lines), and conoidal shells with cutouts and forced vibration of composite hypar and conoidal shells without cutouts are examined to arrive at some conclusions useful to the designers. Eccentrically positioned cutouts and transient stresses are other aspects studied in detail in free and forced vibration analyses, respectively.
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References
1.
Bathe, K. J. (1996) Finite element procedures, Prentice Hall of India Pvt. Ltd., New Delhi, India.
2.
Bhaskar, K., and Varadan, T. K.(1993). “Interlaminar stresses in composite cylindrical shells under transient loads.”J. Sound and Vibration, 168(3), 469–477.
3.
Chakravorty, D., Bandyopadhyay, J. N., and Sinha, P. K.(1995). “Finite element free vibration analysis of point supported laminated composite cylindrical shells.”J. Sound and Vibration, 181(1), 43–52.
4.
Chakravorty, D., Bandyopadhyay, J. N., and Sinha, P. K.(1996). “Finite element free vibration analysis of doubly curved laminated composite shells.”J. Sound and Vibration, 191(4), 491–504.
5.
Chakravorty, D., Sinha, P. K., and Bandyopadhyay, J. N.(1995). “Free vibration analysis of point supported laminated composite doubly curved shells—a finite element approach.”Comp. and Struct., 54(2), 191–198.
6.
Chao, C. C., and Tung, T. P.(1989). “Step pressure and blast response of clamped orthotropic hemispherical shells.”Int. J. Impact Engrg., 8(3), 191–207.
7.
Chao, W. C., and Reddy, J. N.(1984). “Analysis of laminated composite shells using a degenerated 3-d element.”Int. J. Numer. Methods in Engrg., 20, 1991–2007.
8.
Kant, T., Kumar, S., and Singh, U. P.(1994). “Shell dynamics with three-dimensional degenerate finite elements.”Comp. and Struct., 50(1), 135–146.
9.
Kapania, R. K.(1989). “A review on the analysis of laminated shells.”J. Pressure Vessel Technol., 111(2), 88–96.
10.
Liew, K. M., and Lim, C. W.(1994). “Vibration of perforated doubly-curved shallow shells with rounded corners.”Int. J. Solids and Struct., 31(11), 1519–1536.
11.
Lurye, A. I. (1959). “Statics of thin walled elastic shells.”AEC-TR 3798, Sect. 4.9, The United States Atomic Energy Commission.
12.
Noor, A. K., and Burton, W. S.(1990). “Assessment of computational models for multilayered composite shells.”Appl. Mech. Rev., 43(4), 67–97.
13.
Qatu, M. S.(1992). “Review of shallow shell vibration research.”Shock and Vibration Digest, 24(9), 3–15.
14.
Qatu, M. S., and Leissa, A. W.(1991). “Natural frequencies for cantilevered doubly curved laminated composite shallow shells.”Compos. Struct., 17(3), 227–255.
15.
Reddy, J. N.(1981). “Finite element modeling of layered, anisotropic composite plates and shells: review of recent research.”Shock and Vibration Digest, 13(12), 3–12.
16.
Reddy, J. N.(1982). “Large amplitude flexural vibration of layered composite plates with cutouts.”J. Sound and Vibration, 83(1), 1–10.
17.
Reddy, J. N., and Chandrashekhara, K.(1985). “Geometrically nonlinear transient analysis of laminated doubly curved shells.”Int. J. Nonlinear Mech., 20(2), 79–90.
18.
Sun, C. T.(1976). “Dynamic response of laminated composite shells.”The Shock and Vibration Bull., 46(5), 17–23.
19.
Sun, C. T., and Sun, P. W.(1974). “Laminated composite shells under axially symmetric dynamic landings.”J. Sound and Vibration, 35(3), 395–415.
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 1 • January 1998
Pages: 1 - 8
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jan 1, 1998
Published in print: Jan 1998
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