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Abstract
In this paper, the dynamic characteristics of thick cross-ply laminated composite cylindrical shells are studied using a higher-order displacement model. The formulation accounts for the nonlinear variation of the in-plane and transverse displacements through the thickness, and abrupt discontinuity in the slope of the in- plane displacements at any interface. The effect of inplane and rotary inertia terms is included. The analysis is carried out using finite element approach. The governing equations derived using Lagrange's equations of motion are solved employing Newmark's direct integration technique for transient response analysis. The influences of various terms in the higher-order displacement field on the free vibrations, and transient dynamic response characteristics of cylindrical composite shells subjected to thermal and mechanical Loads are analysed.
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References
- Noor, A.K. and Burton, W.S., "Assessment of Computational Models for Multilayered Composite Shells," ASME Journal of Applied Mechanics Review, Vol. 43, pp. 67 -97,1990.
- Mallikarjuna. and Kant, T., "A Critical Review and Some Results of Recently Developed Refined Theories of Fibre Reinforced Laminated Composites and Sandwiches," Composite Structures, Vol. 23, pp. 293-312,1993.
- Lo, K. H., Christensen, R. M. and Wu, E. M., A Higher-Order Theory of Plate Deformation: Part 2: Laminated Plates," ASME Journal of Applied Mechanics, Vol. 44, pp. 669-676,1977 .
- Cho, K. N., Bert, C. W. and Striz, A. G., "Free Vibrations of Laminated Rectangular Plates Analyzed by Higher Order Individual-Layer Theory," Journal of Sound and Vibration, Vol. 145, pp. 429-442. 1991.
- Tenneti, R. and Chandrashekhara, K.. "Nonlinear Thermal Dynamic Analysis of Graphite/Aluminum Composite Plates," American Institute of Aeronautics and Astronautics Journal, Vol. 32, pp. 1931-1933, 1994.
- Ossadzow, C., Touratier, M. and Muller, P., "Deep Doubly Curved Multilayered Shell Theory," American Institute of Aeronautics and Astronautics Journal, Vol. 37, pp. 100-109, 1999.
- He, L. H., "A Linear Theory of Laminated Shells Accounting for Continuity of Displacement and Transverse Shear Stresses at Layer Interfaces. " Inter-national Journal' of Solids Structures, Vol. 31, pp. 613-627. 1994.
- Bhimaraddi, A., "A Higher Order Theory for Free Vibration Analysis of Circular Cylindrical Shells," International Journal of Solids Structures, Vol. 20, pp.623-630,1984.
- Shu, X. P., "A Refined Theory of Laminated Shells with Higher-Order Transverse Shear Deformation," International Journal of Solids and Structures, Vol. 34, pp. 673-683, 1997.
- Ali, J.S.M., Bhaskar, K. and Varadan, T. K., "A New Theory for Accurate Thermal/Mechanical Flexural Analysis of Symmetrically Laminated Plates," Composite Structures, Vol. 45, pp. 227 -232, 1999.
- Murakami, H., "Laminated Composite Plate Theory with Improved In-plane Responses," ASME Journal of Applied Mechanics, Vol. 53, pp. 661-666,1986.
- Jones, R.M., "Mechanics of Composite Materials", McGraw-Hill. New York, 1975.
- Zienkiewicz. O. C.. Finite Element Methods in Engineering Science, McGraw-Hill, London, 1971.
- Ye, J. Q. and Soldatos, K. P., "Three-Dimensional Vibrations of Cross-ply Laminated Hollow Cylinders with Clamped Edge Boundaries," ASME Journal of Vibration and Acoustics, Vol. 119, pp. 317-323,1997.
References
Noor, A.K. and Burton, W.S., "Assessment of Computational Models for Multilayered Composite Shells," ASME Journal of Applied Mechanics Review, Vol. 43, pp. 67 -97,1990.
Mallikarjuna. and Kant, T., "A Critical Review and Some Results of Recently Developed Refined Theories of Fibre Reinforced Laminated Composites and Sandwiches," Composite Structures, Vol. 23, pp. 293-312,1993.
Lo, K. H., Christensen, R. M. and Wu, E. M., A Higher-Order Theory of Plate Deformation: Part 2: Laminated Plates," ASME Journal of Applied Mechanics, Vol. 44, pp. 669-676,1977 .
Cho, K. N., Bert, C. W. and Striz, A. G., "Free Vibrations of Laminated Rectangular Plates Analyzed by Higher Order Individual-Layer Theory," Journal of Sound and Vibration, Vol. 145, pp. 429-442. 1991.
Tenneti, R. and Chandrashekhara, K.. "Nonlinear Thermal Dynamic Analysis of Graphite/Aluminum Composite Plates," American Institute of Aeronautics and Astronautics Journal, Vol. 32, pp. 1931-1933, 1994.
Ossadzow, C., Touratier, M. and Muller, P., "Deep Doubly Curved Multilayered Shell Theory," American Institute of Aeronautics and Astronautics Journal, Vol. 37, pp. 100-109, 1999.
He, L. H., "A Linear Theory of Laminated Shells Accounting for Continuity of Displacement and Transverse Shear Stresses at Layer Interfaces. " Inter-national Journal' of Solids Structures, Vol. 31, pp. 613-627. 1994.
Bhimaraddi, A., "A Higher Order Theory for Free Vibration Analysis of Circular Cylindrical Shells," International Journal of Solids Structures, Vol. 20, pp.623-630,1984.
Shu, X. P., "A Refined Theory of Laminated Shells with Higher-Order Transverse Shear Deformation," International Journal of Solids and Structures, Vol. 34, pp. 673-683, 1997.
Ali, J.S.M., Bhaskar, K. and Varadan, T. K., "A New Theory for Accurate Thermal/Mechanical Flexural Analysis of Symmetrically Laminated Plates," Composite Structures, Vol. 45, pp. 227 -232, 1999.
Murakami, H., "Laminated Composite Plate Theory with Improved In-plane Responses," ASME Journal of Applied Mechanics, Vol. 53, pp. 661-666,1986.
Jones, R.M., "Mechanics of Composite Materials", McGraw-Hill. New York, 1975.
Zienkiewicz. O. C.. Finite Element Methods in Engineering Science, McGraw-Hill, London, 1971.
Ye, J. Q. and Soldatos, K. P., "Three-Dimensional Vibrations of Cross-ply Laminated Hollow Cylinders with Clamped Edge Boundaries," ASME Journal of Vibration and Acoustics, Vol. 119, pp. 317-323,1997.