Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

International Journal of Mechanical Sciences

Volumn 47, Issue 2, 2005, Pages 251-276

  Peng, L X ^a   Kitipornchai, S ^a   Liew, K M ^b,c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Element free Galerkin method; Meshless method; Static analysis; Stiffened plate

Indexed keywords

COMPOSITE STRUCTURES; GALERKIN METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; SHEAR DEFORMATION; STIFFNESS; STRAIN;

ELEMENT-FREE GALERKIN METHODS; MESHLESS METHODS; STATIC ANALYSIS; STIFFENED PLATES; STRAIN ENERGY;

PLATES (STRUCTURAL COMPONENTS);

EID: 14944361362     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.12.006     Document Type: Article

References (25)

1. S. Kendrick The analysis of a flat plated grillage European Shipbuilding 5 1956 4 10
2. H.A. Schade The orthogonally stiffened plate under uniform lateral load Journal of Applied Mechanics ASME 62 1940 143 146
3. K.M. Liew, K.Y. Lam, and S.T. Chow Free vibration analysis of rectangular plates using orthogonal plate function Computers and Structures 34 1990 79 85
4. K.M. Liew, Y. Xiang, S. Kitipornchai, and J.L. Meek Formulation of Mindlin-Engesser model for stiffened plate vibration Computer Methods in Applied Mechanics and Engineering 120 1995 339 353
5. Y. Xiang, K.M. Liew, and S. Kitipornchai Vibration of circular and annular plates with internal ring stiffeners Journal of the Acoustical Society of America 100 1996 3696 3705
6. K.M. Liew, and K.Y. Lam Application of two-dimensional orthogonal plate function to flexural vibration of skew plates Journal of Sound and Vibration 139 1990 241 252
7. A. Deb, and M. Booton Finite element models for stiffened plates under transverse loading Computers & Structures 28 1988 361 372
8. K.C. Biswal, and A.K. Ghosh Finite element analysis for stiffened laminated plates using higher order shear deformation theory Computers & Structures 53 1994 161 171
9. E.A. Sadek, and S.A. Tawfik A finite element model for the analysis of stiffened laminated plates Computers & Structures 75 2000 369 383
10. M.P. Rossow, and A.K. Ibrahimkhail Constraint method analysis of stiffened plates Computers & Structures 8 1978 51 60
11. T. Belytschko, Y.Y. Lu, and L. Gu Element-free Galerkin methods International Journal for Numerical Methods in Engineering 37 1994 229 256
12. K.M. Liew, H.K. Lim, M.J. Tan, and X.Q. He Analysis of laminated composite beams and plates with piezoelectric patches using the element-free Galerkin method Computational Mechanics 29 2002 486 497
13. J.S. Chen, C. Pan, C.T. Wu, and W.K. Liu Reproducing kernel particle methods for large deformation analysis of nonlinear structures Computer Methods in Applied Mechanics and Engineering 139 1996 195 227
14. J. Ren, K.M. Liew, and S.A. Meguid Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free Galerkin method International Journal of Mechanical Sciences 44 2002 2393 2413
15. J. Wang, K.M. Liew, M.J. Tan, and S. Rajendran Analysis of rectangular laminated composite plates via FSDT meshless method International Journal of Mechanical Sciences 44 2002 1275 1293
16. McBean RP. Analysis of stiffened plates by the finite element method. PhD thesis, presented to Stanford University, 1968.
17. Chang SP. Analysis of eccentrically stiffened plates. PhD thesis, presented to the University of Missouri, Columbia, MO, 1973.
18. K.M. Liew, and Y.Q. Huang Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method International Journal of Mechanical Sciences 45 2003 95 114
19. K.M. Liew, T.Y. Ng, X. Zhao, and J.N. Reddy Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells Computer Methods in Applied Mechanics and Engineering 191 2002 4141 4157
20. K.M. Liew, G.P. Zou, and S. Rajendran A spline strip kernel particle method and its application to two-dimensional elasticity problems International Journal for Numerical Methods in Engineering 57 2003 599 616
21. K.M. Liew, and X.L. Chen Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates Computer Methods in Applied Mechanics and Engineering 193 2004 205 224
22. L.B. Lucy A numerical approach to the testing of the fission hypothesis Astronomical Journal 82 1997 1013 1024
23. I. Babuska, and J.M. Melenk The partition of unity method International Journal for Numerical Methods in Engineering 40 1997 727 758
24. K.M. Liew, and X.L. Chen Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method International Journal of Solids and Structures 41 2004 1677 1695
25. K.M. Liew, Y.Q. Huang, and J.N. Reddy Moving least squares differential quadrature method and its application to the analysis of shear deformable plates International Journal for Numerical Methods in Engineering 56 2003 2331 2351