Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection

Free vibration analysis and eigenvalues sensitivity analysis of composite laminates with interfacial imperfection are investigated based on the radial point interpolation method (RPIM) in Hamilton system. The governing equation of the free vibration analysis and eigenvalues sensitivity analysis are both reduced by the spring-layer model and modified Hellinger–Reissner (H–R) variational principle. The analytical method (AM), semi-analytical method (SA) and the finite difference method (FD) are used for the eigenvalues sensitivity analysis in Hamilton system. Extensive numerical results are used to show the effects of variations in the material properties and shape parameters of the composite laminates on the response quantities and sensitivity coefficients of natural frequencies. A major advantage of the governing equation sets is that the interfacial imperfection of composite laminated plates is taken into account.