Non-linear free vibration analysis of laminated composite cylindrical/hyperboloid shell panels based on higher-order shear deformation theory using non-linear finite-element method

Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering

Volumn 222, Issue 7, 2008, Pages 993-1006

  Panda, S K ^a   Singh, B N ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Cylindrical hyperboloid shell panel; Green Lagrange non linearity; Non linear finite element method; Non linear free vibration

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; LAMINATED COMPOSITES; LAMINATING; LATTICE VIBRATIONS; LINEARIZATION; NONLINEAR EQUATIONS; SHEAR DEFORMATION; SHELLS (STRUCTURES); VIBRATION ANALYSIS;

AMPLITUDE RATIOS; CYLINDRICAL/HYPERBOLOID SHELL PANEL; ELEMENT MODELS; FINITE-ELEMENT METHODS; FREE VIBRATION ANALYSES; FREQUENCY RATIOS; GEOMETRIC NON LINEARITIES; GOVERNING EQUATIONS; GREEN-LAGRANGE NON-LINEARITY; ITERATIVE TECHNIQUES; LAG RANGES; LARGE DEFORMATIONS; LINEAR FREQUENCIES; NON LINEARITIES; NON-LINEAR FINITE-ELEMENT METHOD; NON-LINEAR FREE VIBRATION; NUMERICAL EXAMPLES; SHEAR DEFORMATION THEORIES; THICKNESS RATIOS; VARIATIONAL APPROACHES;

LINEAR EQUATIONS;

EID: 56549101151     PISSN: 09544100     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544100JAERO358     Document Type: Article

References (18)

1. Nanda, N. and Bandyopadhyay, J. N. Nonlinear free vibration analysis of laminated composite cylindrical shells with cutouts.J. Reinf. Plast Compos., 2007, 24(14), 1413-1427.
2. Reddy, J. N. and Chao, W. C. Nonlinear oscillations of laminated anisotropic rectangular plates. J. Appl. Mech., 1982, 49(2), 396-402.
3. Singh, G., Rao, V., and Iyenger, N. G. R. Large amplitude free vibration of simply supported antisymmetric crossply plates. AIAA J., 1991, 29(5), 784-790.
4. Shin, D. K. Large amplitude vibration behavior of doubly curved shallow shells with simply supported edges. Comput Struct., 1997,62(1), 35-49.
5. El-Zaouk, B. R. and Dym, C. L. Nonlinear vibration of orthotropic doubly-curved shallow shell. J. Sound Vibr., 1973, 31(1), 89-103.
6. Dumir, P. C. and Bhaskar, A. Nonlinear forced vibration of orthotropic thin rectangular plates. Int. J. Mech. Sci., 1988, 30(5), 371-380.
7. Sathyamoorthy, M. Nonlinear vibration of moderately thick orthotropic shallow spherical shells. Comput. Struct., 1995, 57(1), 59-65.
8. Noor, A K., Andersen, C. M., and Peters, J. M. Reduced basis technique for nonlinear vibration analysis of composite panels. Compos. Methods Appl. Mech. Eng., 1993, 103(1-2), 175-186.
9. Lee, Y. S. and Kim, Y. W. Analysis of nonlinear vibration of hybrid composite plates. Comput. Struct., 1996, 61(3), 573-578.
10. Ganapathi, M., Varadan, T. K., and Sarma, B. S. Nonlinear flexural vibrations of laminated orthotropic plates. Comput Struct, 1991,39(6), 685-688.
11. Thomas, O., Touze, C., and Luminals, E. Non-linear vibrations of free-edge thin spherical shells modal interaction rules and 1:1:2 internal resonance. Int. J. Solid Struct., 2005, 42 (11-12), 3339-3373.
12. Thomas, O., Touze, C., and Luminals, E. Non-linear vibrations of free-edge thin spherical shells: experiments on a 1:1:2 internal resonance. Nonlinear Dyn., 2007, 49, 259-284.
13. Naidu, N. V. S. and Sinha, P. K. Nonlinear finite element analysis of laminated composite shells in hygrothermal environments. Compos. Struct, 2005, 69(4), 387-395.
14. Naidu, N. V. S. and Sinha, P. K. Nonlinear transient analysis of laminated composite shells in hygrothermal environments. Compos. Struct., 2006, 72(3), 280-288.
15. Naidu, N. V. S. and Sinha, P. K. Nonlinear free vibration analysis of laminated composite shells in hygrothermal environments. Compos. Struct., 2007, 77(4), 280-288.
16. Reddy, J. N. Mechanics of laminated composite plates and shells, 2nd edition, 2004 (CRC Press, Boca Raton, FL).
17. Reddy, J. N. An introduction to the finite element method, 3rd edition, 2005 (TMH Publication, New Delhi).
18. Sundaramoorthy, R., David, W., and Murray, M. Incremental finite element matrices. ASCEJ. Struct. Div., 1973, 99(ST12), 2423-2438.