A consistent set of equations is given for honeycomb sandwich shells, wherein each layer of the sandwich is treated separately. The theory allows for the effects of thick cores, non-constant core thickness and arbitrary anisotropic faces. Analytical solutions are obtained for constant thickness and tapered beams, a flat plate, and a circular cylinder subjected to simple loading conditions. The principal use of such solutions is in the testing of finite elements which are intended to model honeycomb sandwich construction.
SummaryThe formulation of curved finite elements to represent a two-dimensional circular sandwich ring with honeycomb core and laminated faces is investigated. Assumed stress hybrid and equilibrium methods are found to be easier to employ in this case than the displacement approach. Using these methods, an element stiffness matrix is developed. The approximations of membrane faces and an infinite core normal stiffness are then used to develop simpler elements. Test cases show that these assumptions may become invalid, but that they are adequate for most practical cases where the core thickness to radius ratio and the face thickness to core thickness ratio are both low.
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