Forced non-linear vibration of cylindrical laminated shells by the p-version finite element method

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 5, Issue , 2004, Pages 3788-3798

  Ribeiro, P ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CYLINDERS (SHAPES); DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; ELASTICITY; FINITE ELEMENT METHOD; LAMINATES; MATHEMATICAL MODELS; VIBRATIONS (MECHANICAL);

COMMENSURABILITY; GEOMETRICAL NONLINEARITY; LAMINATED SHELLS; NEWTON METHODS;

SHELLS (STRUCTURES);

EID: 16244391752     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. Alhazza, K. A., and Nayfeh, A.H. "Nonlinear vibration of doubly-curved cross-ply shallow shells," 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference: paper n° AIAA-2001-1661.
2. th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference: paper n° AIAA-2003-1772.
3. Han, W., and Petyt, M., "Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - I: The fundamental mode of Isotropic plates," Computers and Structures, Vol. 63, No. 2,1997, pp. 295-308.
4. Ribeiro, P., and Petyt, M., "Nonlinear vibration of plates by the hierarchical finite element and continuation methods," International Journal of Mechanical Sciences, Vol. 41, 1999, pp. 437-459.
5. Ribeiro, P., and Petyt, M., "Geometrical non-linear, steady-state, forced, periodic vibration of plates. Part II," Journal of Sound and Vibration, Vol. 226, No. 5, 1999, pp. 985-1010.
6. Ribeiro, P., "A Hierarchical Finite Element for Geometrically Non-linear Vibration of Thick Plates," Meccanica, Vol. 38, No. 1, 2003, pp. 115-130
7. Nayfeh, A.H., and Balachandram, B., "Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods," New York: John Wiley and Sons, 1995.
8. Bardell, N.S., Dunsdon, J.M., and Langley, R.S., "On the free vibration of completely free, open, cylindrically curved, isotropic shell panels," Journal of Sound and Vibration Vol. 207, No. 5, 1997, pp. 647-669.
9. Reddy, J.N., "Theory and analysis of laminated composite plates," Mechanics of Composite Materials and Structures, edited by C.A.M. Soares, C.A.M. Soares and M.J.M. Freitas, Kluwer Academic Publishers, Dordretch, 1999, pp. 1-62.
10. Lim, C.W., and Liew, K.M., "A pb-2 Ritz Formulation for Flexural Vibration of Shallow Cylindrical Shells of Rectangular Planform," Journal of Sound and Vibration, Vol. 173, No. 3, 1994, pp. 343-375.