Non-linear static and dynamic analysis of skew sandwich plates

The present work deals with the flexural behavior of thin skew sandwich plates, with different types of facings, subjected to transverse static and dynamic loadings. Based on higher order shear deformation theory and von-Karman’s non-linearity, the equations of motion are derived using Hamilton’s principle. Transformation from physical to computational domain is carried out using linear transformation and chain rule of differentiation. Fast converging finite double Chebyshev series and Houbolt time marching scheme are used for spatial and temporal discretizations, respectively. Quadratic extrapolation technique is used for linearization of the equations of motion. The effect of skew angle, core thickness, lamination scheme and material properties on the static and dynamic behavior of skew sandwich plate is presented. Transient response of skew sandwich plates subjected to short duration pulse loadings is also obtained.