Free Vibration Analysis of Generally Laminated Composite Plates by the Inverse Multiquadric Radial Basis Functions and First-Order Shear Deformation Theory pp. 475-491
Authors: Song Xiang, Ke-ming Wang, Ming-sui Yang, Guang-chao Li, College of Aeroengine & Energy Engineering, Shenyang Institute of Aeronautical Engineering, Shenyang, People's Republic of China
Abstract: Laminated composite plates are very important engineering structure with widely application in aerospace, automobile, and nuclear industry due to their high specific strength and specific modulus. Furthermore, material properties of laminated composite plates can be tailored to optimize the desired characteristics. For example, maximize the fundamental frequency, minimize the maximum deflection for given loads and boundary conditions. The free vibration behavior of laminated composite plates is considerably more complicated than that of isotropic ones due to the anisotropic of the individual lamina and unsymmetric layering. Several investigators have analyzed the free vibration of the laminated composite plates. First-order shear deformation theory was applied to free vibration analysis of skew fibred-reinforced laminated plates by Wang . Khdeir and Reddy  used secondorder shear deformation theory to analyze the free vibration behavior of cross-ply and antisymmetric angle-ply laminated composite plates. Khdeir and Librescu  used higher-order shear deformation theory to analyze buckling and free vibration of symmetric cross-ply elastics plates. Spline finite strips with higher-order shear deformation theory were applied to static and free vibration analysis of laminated composite plates by Akhras and Li . Roque  used trigonometric layerwise deformation theory and multiquadric radial basis functions to analyze the free vibration of symmetric composite plates. Ferreira  analyzed the free vibration behavior of symmetric laminated composite plates by FSDT and Radial basis functions.Aagaah  used third order shear deformation theory and finite element method to analyze the free vibration behavior of cross-ply and angle-ply laminated composite plates. Liew  adopted the first-order shear deformation theory in the moving least squares differential quadrature procedure for predicting the free vibration behavior of moderately thick symmetric laminated composite plates. In their analysis, the transverse deflection and two rotations of the laminate are independently approximated with the moving least squares (MLS) approximation. Liew  adopted a meshfree method based on the reproducing kernel particle approximate and first-order shear deformation theory to analyze the free vibration and buckling of shear deformable plates. However, most of the previous studies conducted on the special cross-ply and symmetric plates. Few of them have been conducted on the generally laminated plates. Baharlou  analyzed the vibration and buckling of generally laminated composite plates by the classical plate theory and Ritz method. Jian  analyzed the free vibration of fully clamped arbitrary laminated plate.