A high order collocation method for the static and vibration analysis of composite plates using a first-order theory

Composite Structures

Volumn 89, Issue 3, 2009, Pages 424-432

  Ferreira, A J M ^a   Castro, Luís M S ^b   Bertoluzza, Silvia ^c  

^a UNIVERSITY OF PORTO   (Portugal)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^c CNR   (Italy)

Author keywords

Collocation method; Composite plates; First order theory; Wavelets

Indexed keywords

COLLOCATION METHOD; COMPOSITE PLATES; FINITE ELEMENT SOLUTIONS; FIRST-ORDER SHEAR DEFORMATION THEORIES; FIRST-ORDER THEORY; FREE VIBRATIONS; HIGH ORDERS; LAMINATED COMPOSITE PLATES; LENGTH RATIOS; NUMERICAL EFFICIENCIES; NUMERICAL RESULTS; NUMERICAL SCHEMES; STATIC DEFORMATIONS; SYMMETRIC LAMINATED; WAVELETS;

LAMINATED COMPOSITES; LAMINATING; PLATES (STRUCTURAL COMPONENTS);

SHEAR DEFORMATION;

DEFORMATION; FINITE ELEMENT ANALYSIS; LAMINATE; MATHEMATICAL ANALYSIS; SHEAR PROPERTY; VIBRATION;

EID: 63649104262     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2008.09.006     Document Type: Article

References (34)

1. Bertoluzza S. An adaptive collocation method based on interpolating wavelets. In: Dahmen, Kurdila, and Oswald (Eds). Multiscale wavelet methods for partial differential equations (1997), Academic Press
2. Castro LMS, Bertoluzza S. Técnicas de colocação baseadas em sistemas de wavelets na resolução de problemas de elasticidade, Metodos Numericos en Ingenieria V, SEMNI; 2002.
3. Laura P.A.A., and Gutierrez R.H. Analysis of vibrating Timoshenko beams using the method of differential quadrature. Shock Vib 1 1 (1993) 89-93
4. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Appl Mech Rev 49 1 (1996) 1-28
5. Liew K.M., Han J.B., and Xiao Z.M. Vibration analysis of circular Mindlin plates using differential quadrature method. J Sound Vib 205 5 (1997) 617-630
6. Bathe K. Finite element procedures in engineering analysis (1982), Prentice-Hall, Englewood Cliffs, NJ
7. Reddy J.N. Introduction to the finite element method (1993), McGraw-Hill, New York
8. Ferreira A.J.M. A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates. Compos Struct 59 (2003) 385-392
9. Ferreira A.J.M. Thick composite beam analysis using a global meshless approximation based on radial basis functions. Mech Adv Mater Struct 10 (2003) 271-284
10. Ferreira A.J.M. Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions. Int J Comput Methods 2 1 (2005) 15-31
11. Ferreira A.J.M. Polyharmonic (thin-plate) splines in the analysis of composite plates. Int J Mech Sci 46 (2005) 1549-1569
12. Ferreira A.J.M. Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization. Mech Adv Mater Struct 12 2 (2005) 99-112
13. Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., and Martins P.A.L.S. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 69 (2005) 449-457
14. Ferreira A.J.M., and Fasshauer G.E. Natural frequencies of shear deformable beams and plates by a RBF-Pseudospectral method. Comput Methods Appl Mech Eng 196 (2006) 134-146
15. Ferreira A.J.M., Roque C.M.C., and Martins P.A.L.S. Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method. Compos: Part B 34 (2003) 627-636
16. Ferreira A.J.M., Roque C.M.C., and Martins P.A.L.S. Radial basis functions and higher-order theories in the analysis of laminated composite beams and plates. Compos Struct 66 (2004) 287-293
17. Bertoluzza S., and Naldi G. A wavelet collocation method for the numerical solution of partial differential equations. Appl Comput Harm Anal 3 (1996) 1-9
18. Bertoluzza S, Castro LM. Adaptive wavelet collocation for elasticity: first results, IAN-CNR, Pavia, Italy; 2001 [preprint].
19. Deslauriere G., and Dubuc S. Symmetric iterative interpolation processes. Const Approx 5 (1989)
20. Daubechies I. Orthonormal bases of compactly supported wavelets. Commun Pure Appl Math 41 (1988) 909-996
21. Donoho D. Interpolating wavelet transform, department of statistics, Stanford University; 1992 [preprint].
22. Cohen A., Daubechies I., and Vial P. Wavelets on the interval and fast wavelet transforms. ACHA 1 (1993) 54-81
23. Reddy J.N. Mechanics of laminated composite plates (1997), CRC Press, New York
24. Liew K.M., Huang Y.Q., and Reddy J.N. Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comp Meth Appl Mech Eng 192 (2003) 2203-2222
25. Srinivas S. A refined analysis of composite laminates. J Sound Vib 30 (1973) 495-507
26. Liew K.M. Solving the vibration of thick symmetric laminates by Reissner/Mindlin plate theory and the p-Ritz method. J Sound Vib 198 (1996) 343-360
27. Zhen W., and Wanji C. Free vibration of laminated composite and sandwich plates using global-local higher-order theory. J Sound Vib 298 (2006) 333-349
28. Reddy J.N. Energy principles and variational methods in applied mechanics. 2nd ed. (2002), John Wiley, New York
29. Akhras G., Cheung M.S., and Li W. Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory. Comput Struct 52 3 (1994) 471-477
30. Reddy J.N. A simple higher-order theory for laminated composite plates. J Appl Mech 51 (1984) 745-752
31. Akhras G., Cheung M.S., and Li W. Static and vibrations analysis of anisotropic laminated plates by finite strip method. Int J Solids Struct 30 22 (1993) 3129-3137
32. Pagano N.J. Exact solutions for rectangular bidirectional composites and sandwich plates. J Compos Mater 4 (1970) 20-34
33. Pandya B.N., and Kant T. Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations. Int J Solids Struct 24 (1988) 419-451
34. Kdheir A.A. Analysis of symmetric cross-ply elastic plates using a higher-order theory, Part II: buckling and free vibration. Compos Struct 9 (1988) 259-277