Static and free vibration analysis of composite shells by radial basis functions

Engineering Analysis with Boundary Elements

Volumn 30, Issue 9, 2006, Pages 719-733

  Ferreira, A J M ^a   Roque, C M C ^a   Jorge, R M N ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

Collocation methods; Composite materials; Free vibrations; Radial basis functions; Shells

Indexed keywords

COMPOSITE MATERIALS; RADIAL BASIS FUNCTION NETWORKS; SHEAR STRENGTH; SHELLS (STRUCTURES); VIBRATIONS (MECHANICAL);

COLLOCATION METHODS; FREE VIBRATIONS; RADIAL BASIS FUNCTIONS; SHELLS;

VIBRATION CONTROL;

EID: 33747046429     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.05.002     Document Type: Article

References (29)

1. Naghdi P.M. A survey of recent progress in the theory of elastic shells. Appl Mech Rev 9 (1956) 365-368
2. Bert C.W. Dynamics of composite and sandwich panels-parts i and ii. Shock Vib Dig 8 (1976) 37-48 15-24.
3. Bert CW, Analysis and performance of composites. Analysis of shells vol. 8, 1980. p. 37-48, 15-24.
4. Reissner E. Stress-strain relations in the theory of thin elastic shells. J Math Phys 31 (1952) 109-119
5. Zukas J.A., and Vinson J.R. Laminated transversely isotropic cylindrical shells. J Appl Mech 38 (1971) 400-407
6. Dong S.B., Pister K.S., and Taylor R.L. On the theory of laminated anisotropic shells and plates. J Aerosp Sci 29 (1962)
7. Dong S.B., and Tso F.K.W. On a laminated orthotropic shell theory including transverse shear deformation. J Appl Mech 39 (1972) 1091-1096
8. Whitney J.M., and Sun C.T. A higher order theory for extensional motion of laminated anisotropic shells and plates. J Sound Vib 30 (1973)
9. Whitney J.M., and Sun C.T. A refined theory for laminated anisotropic cylindrical shells. J Appl Mech 41 (1974)
10. Reddy J.N., and Liu C.F. A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci 23 (1985) 319-330
11. Reddy J.N. Bending of laminated anisotropic shells by a shear deformable finite element. Fibre Sci Technol 17 (1982) 9-24
12. Hardy R.L. Multiquadric equations of topography and other irregular surfaces. Geophys Res 176 (1971) 1905-1915
13. Kansa E.J. Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. i: Surface approximations and partial derivative estimates. Comput Math Appl 19 8/9 (1990) 127-145
14. Kansa E.J. Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. ii: Solutions, to parabolic, hyperbolic and elliptic partial differential equations. Comput Math Appl 19 8/9 (1990) 147-161
15. Reddy J.N. Mechanics of laminated composite plates (1997), CRC Press, New York
16. Fasshauer G.E. Solving partial differential equations by collocation with radial basis functions. Surface fitting and multiresolution methods. Proceedings of the third international conference on curves and surfaces vol. 2 (1997) 131-138
17. Dubal M.R., Oliveira S.R., and Matzner R.A. Domain decomposition and local refinement for multiquadric approximations. i: second-order equations in one-dimension. J Appl Sci Comput 1 (1994) 146-171
18. Kansa E.J., and Hon Y.C. Circumvecting the ill-conditioning problem with multiquadric radial basis functions. Comput Math Appl 39 7-8 (2000) 123-137
19. Beatson R.K., and Light W.A. Fast evaluation of radial basis functions: Methods for 2-dimensional polyharmonic splines. IMA J Numer Anal 17 (1997) 343-372
20. 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
21. 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
22. 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
23. Ferreira A.J.M. Polyharmonic thin-plate splines in the analysis of composite plates. Int J Mech Sci 46 10 (2004) 1549-1569
24. Platte R.B., and Driscoll T.A. Computing eigenmodes of elliptic operators using radial basis functions. Comput Math Appl 48 (2004) 561-576
25. 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
26. Reddy J.N. A simple higher-order theory for laminated composite plates. J Appl Mech 51 (1984) 745-752
27. 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
28. 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
29. Pagano N.J. Exact solutions for rectangular bidirectional composites and sandwich plates. J Compos Mater 4 (1970) 20-34