Analytical solution of finite-geometry composite panels under transient surface loading

This study presents an analytical three-dimensional transient solution of a multi-layer specially orthotropic panel with finite geometry subjected to an arbitrarily distributed transverse loading. Governing equations derived from Reissner's functional are solved by applying Fourier or Laplace transformation in time and enforcing the continuity of traction and displacement components between the adjacent layers. Complex material constants are utilized to achieve material damping. The accuracy of the present analysis is established by considering a thin laminate under quasi-static and transient loading. The solution of the static analysis is compared with a known analytical solution, and the transient analysis is compared with a finite element analysis. The results concerning the transient response of a composite sandwich panel are also presented. Material damping is found to significantly affect the transient stress and displacement fields of a laminate, particularly for sandwich composite panels.