The Shear Deformable Effect on Optimum Lay-ups of Laminated Plates

摘要

The effect of plate thickness is studied on the optimum lay-ups of laminated rectangular plates by considering the first-order shear deformation through the thickness. An analytical method is presented to calculate the natural frequencies and mode shapes of the relatively thick plates. Boundary conditions at the plate edges are given by arbitrary sets of free, simply supported and clamped edges. The layerwise optimization (LO) approach is used as an optimization tool to make the fundamental frequencies maximized. Numerical results are successfully presented to clarify the thickness shear effect on the optimum lay-ups of the laminated plates. In general, it is shown that the thickness shear effect causes relatively small changes in the optimum lay-ups while it reduces the natural frequency to a large extent.