Finite Element Analysis of Nonlinear Transient Responses of Sandwich Panel with Cut-Out

Development of finite element method and higher-order shear deformation based mathematical model of sandwich panel structure with cutout to investigate the nonlinear dynamic responses. This work employed a higher-order shear deformation theory and a finite element-based approach to develop the said mathematical model. Geometrical nonlinearity is incorporated using Green–Lagrange’s strains. The dynamic governing equation accounting for geometrical nonlinearity is derived from Hamilton's principle. The nonlinear time-dependent deflection responses are computed utilizing Newmark’s time integration method. First of all, to check the accuracy of the mathematical model, a comparison study is performed by conducting the comparison between the current numerical and existing literature results. Additionally, the current model is employed to analyze the influence of various parameters such as cutout size, shape, and position, as well as the ratio of core-face thickness and end conditions on the nonlinear dynamic behavior of the sandwich panel with cutout. Finally, a detailed discussion is presented based on the insights gained from the numerical response analysis. This structured approach ensures a comprehensive understanding of how these factors affect the panel’s behavior under loading conditions, thus contributing valuable information to the field of structural engineering and composite material design.