Large amplitude free vibration of shear deformable laminated composite annular sector plates by a sector p-element

International Journal of Non-Linear Mechanics

Volumn 43, Issue 9, 2008, Pages 834-843

  Houmat, A ^a  

^a UNIVERSITY OF TLEMCEN   (Algeria)

Author keywords

Geometric non linearity; Laminated composite annular sector plate; Large amplitude free vibration; Mindlin's plate theory; Sector p element

Indexed keywords

BEAMS AND GIRDERS; CABLE STAYED BRIDGES; DEFORMATION; ELECTRIC CURRENTS; EQUATIONS OF MOTION; FOURIER ANALYSIS; FOURIER SERIES; FUNCTION EVALUATION; HARMONIC ANALYSIS; LAMINATED COMPOSITES; LAMINATING; LATTICE VIBRATIONS; LINEARIZATION; PLATES (STRUCTURAL COMPONENTS); POLYNOMIAL APPROXIMATION; POLYNOMIALS; SHEAR DEFORMATION;

ANNULAR SECTOR PLATES; FREE MOTIONS; FREE VIBRATION ANALYSES; FREE VIBRATIONS; GEOMETRIC NON-LINEARITY; HARDENING BEHAVIORS; HARMONIC BALANCE METHODS; LAMINATION PARAMETERS; LARGE AMPLITUDE FREE VIBRATION; LARGE AMPLITUDES; LEGENDRE; LINEAR FREQUENCIES; MINDLIN'S PLATE THEORY; MODE METHODS; MODELING; ORTHOGONAL POLYNOMIALS; POLYNOMIAL ORDERS; RADIUS RATIOS; ROTARY INERTIAS; SECTOR P-ELEMENT; SHAPE FUNCTIONS; SYMBOLIC COMPUTING;

LINEAR EQUATIONS;

EID: 54049091924     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2008.05.007     Document Type: Article

References (13)

1. Mindlin R.D. Influence of rotary inertia and shear on flexural vibrations of isotropic elastic plates. J. Appl. Mech. 18 (1959) 31-38
2. Chia C.Y. Geometrically nonlinear behavior of composite plates: a review. Appl. Mech. Rev. 41 (1988) 439-451
3. Kapania R.K., and Raciti S. Recent advances in analysis of laminated beams and plates, part II: vibration and wave propagation. Am. Inst. Aeronaut. Astronaut. J. 27 (1989) 935-946
4. Sharma A., Sharda H.B., and Nath Y. Stability and vibration of thick laminated composite sector plates. J. Sound Vib. 287 (2005) 1-23
5. Han W., Petyt M., and Hsia K.M. An investigation into geometrically nonlinear analysis of rectangular laminated plates using the hierarchical finite element method. Finite Elem. Anal. Des. 18 (1994) 273-288
6. Han W., and Petyt M. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method-II: 1st mode of laminated plates and higher modes of isotropic and laminated plates. Comput. Struct. 63 (1997) 309-318
7. Ribeiro P., and Petyt M. Nonlinear vibration of composite laminated plates by the hierarchical finite element method. Compos. Struct. 46 (1999) 197-208
8. Houmat A. Three-dimensional free vibration analysis of annular sector plates. J. Sound Vib. 276 (2004) 181-193
9. 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. Comput. Struct. 63 (1997) 295-308
10. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1965), Dover, New York
11. Prabhakara M.K., and Chia C.Y. Nonlinear flexural vibrations of orthotropic rectangular plates. J. Sound Vibr. 52 (1977) 511-518
12. Ribeiro P., and Petyt M. Nonlinear free vibration of isotropic plates with internal resonance. Int. J. Nonlinear Mech. 35 (2000) 263-278
13. Liew K.M., and Liu F.M. Differential quadrature method for vibration analysis of shear deformable annular sector plates. J. Sound Vib. 230 (2000) 335-356