Dynamic response and dynamic buckling of general laminated plates: A semi-inverse method

In this paper, a simplified way of deriving the equation of motion is presented for the general laminated composite plates under time-dependent compression. The considered plates with simply supported boundary conditions are subjected to the in-plane harmonic loads. By employing a novel semi-inverse method (SIM) based on least square (LS) fitting, the equation of motion is derived from the static equilibrium path. Dynamic responses of glass fiber reinforced polymer (GFRP) laminated plates with different layer arrangements are analyzed by such equations and the dynamic buckling loads are obtained based on Budiansky-Hutchinson and Volmir criteria. Static equilibrium paths are obtained based on commercial finite element method (FEM), i.e., ANSYS software. Again, the results of SIM are compared with those of FEM in ANSYS software and the verifications of dynamic responses are proved considering full types of material couplings. The presented results show that the proposed simplified way of the derivation of the equation of motion allows for a very low time consumption analysis.