Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF

Based on the trigonometric shear deformation theory for laminated beams, the differential governing equations of symmetric laminated composite plates are derived. The differential governing equations discretized by a meshless collocation method based on the inverse multiquadric radial basis function is used to predict the free vibration behavior of symmetric laminated composite plates. Natural frequencies are computed for various material parameters, geometry parameters of laminated plates, and are compared with some available published results. The influence of grid pattern, modulus ratio, and side-to-thickness ratio on natural frequencies is also investigated. Through numerical experiments, the high numerical accuracy and the good convergence of the trigonometric shear deformation theory discretized by the inverse multiquadric radial basis function for free vibration analysis of symmetric laminated composite plates are demonstrated.