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Abstract
The buckling of laminated composite spherical shell cap with and without a cutout subjected to transverse load is investigated. The geometrical non-linear analysis is carried out using the finite element method based on the first-order shear deformation theory. An eight noded degenerated isoparametric shell element with five degrees of freedom at each node is considered. The geometric non-linear behaviour and the collapse pressures with the associated mode shapes are presented for simply supported and clamped symmetrically and anti-symmetrically laminated cross-ply spherical shell cap without a cutout subjected to uniform normal pressure. The dependence of collapse pressure on the size of a central circular cutout is also studied.
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References
- Bauld, Jr, N.R. and Khot, N.S ., "A Numerical and Experimental Investigation of the Buckling Behaviour of Composite Panels", Computers and Structures, Vol.15, pp.393-403,1982.
- Jun, S.M. and Hong, C.S., "Buckling Behaviour of Laminated Composite Cylindrical Panels Under Axial Compression", Computers and Structures, Vol.29, pp.479-490,1988.
- Palazotto, A.N. and Tisler,T.W., "Considerations of Cutouts in Composite Cylindrical Panels", Computers and Structures, Vol.29, pp.1101-1110,1988.
- Goldmanis, M. and Riekstinsh A., "Post-buckling Finite Element Analysis of Composite Cylindrical Panels in Axial Compression", Composite Structures, Vol. 29, pp.457-462,1994.
- Madenci, E. and Barut A., "Pre-and Post-buckling Response of Curved, Thin, Composite Panels with Cutouts Under Compression", Int. J. Num. Meth. Engg, Vol.37, pp.1499-1510,1994.
- Simitses, G.J.,"Buckling of Moderately Thick Laminated Cylindrical Shells: A Review", Composites Part-B, Vol.27B, pp. 581-587,1996.
- Kim, K.D., "Buckling Behavior of Composite Panels Using the Finite Element Method", Composite Structures, Vol.36, pp. 33-43,1996.
- Fig. 6 Collapse pressures of laminated spherical shell caps with a central circular cutout (φ1 = 10°) MAY 2005 BUCKLING OF LAMINATED COMPOSITE SPHERICAL SHELL CAP 267 8. Chaplin, C.P. and Palazotto, A.N., "The Collapse of Composite Cylindrical Panels with Various Thickness Using Finite Element Analysis", Computers and Structures; Vol.60, pp.797-815,1996.
- Noor, A.K., Starnes Jr, J.H. and Peters, J.M., "Nonlinear and Post buckling Responses of Curved Composite Panels with Cutouts", Composite Structures, Vol.34, pp.213- 240,1996.
- Kim, K. and Voyiadjis, G.Z., "Non-linear Finite Element Analysis of Composite Panels", Composites Part-B, Vol.30, pp. 365-381,1999.
- Prema Kumar, W.P. and Palaninathan, R.," Non-linear Response of Laminated Cylindrical Panels", Thin Walled Structures, Vol.39, pp.519-533, 2001.
- Hilburger, M.W., Britt, V.O. and Nameth, M.P., "Buckling Behavior of Compression Loaded Quasiisotropic Curved Panels with a Circular Cutout", International Journal of Solids and Structures, Vol.38, pp. 1495-1522, 2001.
- Xu, C.S. ,"Buckling and Post-buckling of Symmetrically Laminated Moderately Thick Spherical Shells", International Journal of Solids and Structures, Vol.28, pp.1171-1184, 1991.
- Narasimhan, M.C. and Alwar, R.S., "Axisymmetric Buckling of Anti symmetrically Laminated Spherical Caps", AIAA Journal, Vol.31, pp. 408-409, 1992 . 15. Aleksander M., "On the Buckling of Composite Shells of Revolution Under External Pressure", Composite Structures, Vol.21, pp.107-119, 1992.
- Sai Ram, K.S. and Sreedhar Babu, T., "Buckling of Laminated Composite Shells Under Transverse Load" Composite Structures, Vol.55, pp.157-168, 2002.
- Cook, R.D., Malkus D.S. and Plesha, M.E . "Concepts and Applications of Finite Element Analysis", Chapter 12, John Wiley, New York, 1989.
- Zienkiewicz, O.C. and Taylor R.L., "The Finite Element Method", Chapter 5, Volume 2, McGraw-Hill, London, 1991.
- Bathe, K.J., "Finite Element Procedures", Prentice-Hall, Englewood Cliffs, New Jersey, 1996.
References
Bauld, Jr, N.R. and Khot, N.S ., "A Numerical and Experimental Investigation of the Buckling Behaviour of Composite Panels", Computers and Structures, Vol.15, pp.393-403,1982.
Jun, S.M. and Hong, C.S., "Buckling Behaviour of Laminated Composite Cylindrical Panels Under Axial Compression", Computers and Structures, Vol.29, pp.479-490,1988.
Palazotto, A.N. and Tisler,T.W., "Considerations of Cutouts in Composite Cylindrical Panels", Computers and Structures, Vol.29, pp.1101-1110,1988.
Goldmanis, M. and Riekstinsh A., "Post-buckling Finite Element Analysis of Composite Cylindrical Panels in Axial Compression", Composite Structures, Vol. 29, pp.457-462,1994.
Madenci, E. and Barut A., "Pre-and Post-buckling Response of Curved, Thin, Composite Panels with Cutouts Under Compression", Int. J. Num. Meth. Engg, Vol.37, pp.1499-1510,1994.
Simitses, G.J.,"Buckling of Moderately Thick Laminated Cylindrical Shells: A Review", Composites Part-B, Vol.27B, pp. 581-587,1996.
Kim, K.D., "Buckling Behavior of Composite Panels Using the Finite Element Method", Composite Structures, Vol.36, pp. 33-43,1996.
Fig. 6 Collapse pressures of laminated spherical shell caps with a central circular cutout (φ1 = 10°) MAY 2005 BUCKLING OF LAMINATED COMPOSITE SPHERICAL SHELL CAP 267 8. Chaplin, C.P. and Palazotto, A.N., "The Collapse of Composite Cylindrical Panels with Various Thickness Using Finite Element Analysis", Computers and Structures; Vol.60, pp.797-815,1996.
Noor, A.K., Starnes Jr, J.H. and Peters, J.M., "Nonlinear and Post buckling Responses of Curved Composite Panels with Cutouts", Composite Structures, Vol.34, pp.213- 240,1996.
Kim, K. and Voyiadjis, G.Z., "Non-linear Finite Element Analysis of Composite Panels", Composites Part-B, Vol.30, pp. 365-381,1999.
Prema Kumar, W.P. and Palaninathan, R.," Non-linear Response of Laminated Cylindrical Panels", Thin Walled Structures, Vol.39, pp.519-533, 2001.
Hilburger, M.W., Britt, V.O. and Nameth, M.P., "Buckling Behavior of Compression Loaded Quasiisotropic Curved Panels with a Circular Cutout", International Journal of Solids and Structures, Vol.38, pp. 1495-1522, 2001.
Xu, C.S. ,"Buckling and Post-buckling of Symmetrically Laminated Moderately Thick Spherical Shells", International Journal of Solids and Structures, Vol.28, pp.1171-1184, 1991.
Narasimhan, M.C. and Alwar, R.S., "Axisymmetric Buckling of Anti symmetrically Laminated Spherical Caps", AIAA Journal, Vol.31, pp. 408-409, 1992 . 15. Aleksander M., "On the Buckling of Composite Shells of Revolution Under External Pressure", Composite Structures, Vol.21, pp.107-119, 1992.
Sai Ram, K.S. and Sreedhar Babu, T., "Buckling of Laminated Composite Shells Under Transverse Load" Composite Structures, Vol.55, pp.157-168, 2002.
Cook, R.D., Malkus D.S. and Plesha, M.E . "Concepts and Applications of Finite Element Analysis", Chapter 12, John Wiley, New York, 1989.
Zienkiewicz, O.C. and Taylor R.L., "The Finite Element Method", Chapter 5, Volume 2, McGraw-Hill, London, 1991.
Bathe, K.J., "Finite Element Procedures", Prentice-Hall, Englewood Cliffs, New Jersey, 1996.