Analysis of Rectangular Stiffened Plates Based on FSDT and Meshless Collocation Method

Subject Areas : Engineering

Sh Hosseini ¹ , B Soltani ²

1 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
2 - Faculty of Mechanical Engineering, University of Kashan,Kashan,Iran

Received: 2017-06-20 Accepted : 2017-08-18 Published : 2017-09-01

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References:

[1] Kendrick S., 1995, The analysis of a flat plated grillage, European Shipbuilding 5: 4-10.
[2] Schade H., 1940, The orthogonally stiffened plate under uniform lateral load, Journal of Applied Mechanics ASME 62: 143-146.
[3] Peng L., Kitipornchai S., Liew K., 2005, Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method, International Journal of Mechanical Sciences 47(2): 251-276.
[4] Rossow M., Ibrahimkhail A., 1978, Constraint method analysis of stiffened plates, Computers and Structures 8(1): 51-60.
[5] Sadek E. A., Tawfik S. A., 2000, A finite element model for the analysis of stiffened laminated plates, Computers and Structures 75(4): 369-383.
[6] Liew K. M., Lam K. Y., Chow S. T., 1990, Free vibration analysis of rectangular plates using orthogonal plate function, Computers and Structures 34(1): 79-85.
[7] Aksu G., Ali R., 1976, Free vibration analysis of stiffened plates using finite difference method, Journal of Sound and Vibration 48(1): 15-25.
[8] McBean R., 1968, Analysis of Stiffened Plates by the Finite Element Method, Thesis, Stanford University.
[9] Nguyen-Thoi T., Bui-Xuan T., Phung-Van P., Nguyen-Xuan H., Ngo-Thanh P., 2013, Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements, Computers and Structures 125: 100-113.
[10] Azizian Z., Dawe D., 1985, The analytical strip method of solution for stiffened rectangular plates using finite strip method, Computers and structures 21(3): 423-436.
[11] Mukhopadhyay M., 1989, Vibration and stability of analysis of stiffened plates by semi-analytic finite difference method, Part II: Consideration of bending and axial displacements, Journal of Sound and Vibration 130: 41-53.
[12] Wen P., Aliabadi M., Young A., 2002, Boundary element analysis of shear deformable stiffened plates, Engineering Analysis with Boundary Elements 26(6): 511-520.
[13] Liu G., 2005, An Introduction to Meshfree Methods and Their Programming, Springer.
[14] Liu G., 2009, Mesh Free Methods: Moving Beyond the Finite Element Method, CRC Press.
[15] Ardestani M. M., Soltani B., Shams S., 2014, Analysis of functionally graded stiffened plates based on FSDT utilizing reproducing kernel particle method, Composite Structures 112: 231-240.
[16] Kansa E. J., 1990, Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-I, Computers and Mathematics with Applications 19(8): 127-145.
[17] Hardy R. L., 1971, Multiquadric equations of topography and other irregular surfaces, Journal of Geophysical Research 78(8): 1905-1915.
[18] Franke R., 1982, Scattered data interpolation:tests of some methods, Mathematics of Computation 38(157): 181-200.
[19] Fasshauer G., 1997, Solving partial differential equations by collocation with radial basis functions, Proceedings of the 3rd International Conference on Curves and Surfaces, Surface Fitting and Multiresolution Methods.
[20] Ferreiraa A. J. M., Batrab R. C., Roquea C. M. C., Qianc L. F., Martins P. A. L. S., 2005, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Composite Structures 69(4): 449-457.
[21] Chang S., 1973, Analysis of Eccentrically Stiffened Plates, Thesis, University of Missouri, Columbia.
[22] Deb A., Booton M., 1988, Finite element models for stiffened plates under transverse loading, Computers and Structures 28(3): 361-372.
[23] Biswal K. C., Ghosh A. K., 1994, Finite element analysis for stiffened laminated plates using higher order shear deformation theory, Computers and Structures 53(1): 161-171.