Commenced in January 2007
Paper Count: 31742
RBF- based Meshless Method for Free Vibration Analysis of Laminated Composite Plates
Abstract:The governing differential equations of laminated plate utilizing trigonometric shear deformation theory are derived using energy approach. The governing differential equations discretized by different radial basis functions are used to predict the free vibration behavior of symmetric laminated composite plates. Effect of orthotropy and span to thickness ratio on frequency parameter of simply supported laminated plate is presented. Numerical results show the accuracy and good convergence of radial basis functions.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082077Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1882
 E.J. Kansa, Multiquadrics a scattere ddat aapproximation scheme with applications to computational fluid dynamics, i:Surface approximations and partial derivative estimates, Comput. Math. Appl. 19 (8/9) (1990) 127-145.
 Liew K.M. Xin Zhao, Antonio J.M. Ferreira, A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, 93, 8, 2031-2041
 Xiang S, Ke-ming Wang, Yan-ting Ai, Yun-dong Sha, Shi H. Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories. Composite Structures 91(2009) 31- 37.
 Xiang S, Ke-ming Wang. Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadrics RBF. Thin-Walled Structures 47(2009) 304- 310
 Castro LMS, Ferreira AJM, Bertoluzza S, Batra RC, Reddy JN. A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory. Composite Structures 92 (2010) 1786-179
 Ferreira AJM, Castro LM, Roque CMC, Reddy JN, Bertoluzza S. Buckling analysis of laminated plates by wavelets. Article in Press. Computers and Structures (2011)
 Ferreira AJM, Roque CMC, Neves AMA, Jorge RMN, Soares CMM, Liew KM. Buckling and vibration analysis of isotropic and laminated plates by radial basis functions. Composites: Part B: Engineering 42 (2011) 592-606
 Liew KM, Huang YQ. 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
 Liew KM, Chen XL, Reddy JN. Meshfree radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. Computer Methods in Applied Mechanics Engineering 193 (2004) 205-224
 Liew KM, Wang J, Ng TY, Tan MJ. Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method Journal of Sound and Vibration 276 (2004) 997-1017