RBF-based meshless method for large deflection of thin plates

Engineering Analysis with Boundary Elements

Volumn 31, Issue 4, 2007, Pages 311-317

  Naffa, Mahmoud ^a   Al Gahtani, Husain J ^b  

^a SAUDI ARAMCO   (Saudi Arabia)

^b KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Finite deflection; Meshless; Plate; RBF

Indexed keywords

DEFLECTION (STRUCTURES); DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; POLYNOMIAL APPROXIMATION; RADIAL BASIS FUNCTION NETWORKS;

FINITE DEFLECTIONS; MESHLESS METHODS; NONLINEAR ALGEBRAIC EQUATIONS; THIN PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 33847011666     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.10.002     Document Type: Article

References (19)

1. Timoshenko S.P., and Woinowsky-Kreiger S. Theory of plates and shells (1959), McGraw-Hill, New York
2. Augural C. Stresses in plates and shells (1999), McGraw-Hill, New York
3. Little G.H. Large deflections of rectangular plates with general transverse form of displacement. J Comput Struct 71 3 (1999) 333-352
4. Little G.H. Efficient large deflections of rectangular plates with transverse edges remaining straight. J Comput Struct 71 3 (1999) 353-357
5. Ramachandra L.S., and Roy D. A novel technique in the solution of axisymmetric large deflection analysis of a circular plate. J Appl Mech 68 5 (2001) 814-816
6. Chen J.T., Chen I.L., Chen K.H., Lee Y.T., and Yeh Y.T. A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function. Eng Anal Bound Elements 28 5 (2004) 535-545
7. Vitor M. RBF-based meshless methods for 2D elastostatic problems. Eng Anal Bound Elements 28 10 (2004) 1271-1281
8. Liew K.L., et al. Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. Comput Methods Appl Mech Eng 193 3 (2004) 205-224
9. Hardy R.L. Multiquadric equations of topography and other irregular surfaces. Geophys Res 176 (1971) 1905-1915
10. Nardini D, Brebbia CA. A new approach to free vibration analysis using boundary elements, boundary element methods in engineering. Southampton: Computational Mechanics Publications; 1982.
11. 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
12. 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) 147-161
13. Driscoll T.A. Interpolation in the limit of increasingly flat radial basis functions. Comput Math Appl 43 3 (2002) 413-422
14. 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
15. 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
16. Ferreira A.J.M. Polyharmonic (thin-plate) splines in the analysis of composite plates. Int J Mech Sci 46 (2005) 1549-1569
17. 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
18. Larsson E., and Fornberg B. Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Comput Math Appl 49 (2005) 103-130
19. Ansys Inc. ANSYS 9.0 Documentation, 2005.