Exact solutions to some honeycomb sandwich beam, plate, and shell problems

Abstract

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.

Bending of a Sandwich Semi‐infinite Plate of Linearly Varying Thickness

“…It can be shown that velocity components in terms of the new variables are whereas the governing equations (4, 5) become in which primes denote differentiation with respect to q. The boundary conditions (6) and (7) now are read…”

“…LIU [5] has considered the nonlinear bending of circular sandwich plates. HOLT and WEBBER [6] has given some simple analytical solutions of Honeycomb sandwich beams, plates and shells. HA, HUSSEIN, et al…”

“…= liexi, li = EJ(1v ? ) , PI = E1/[2(1 + v i ) ] , gxzl = plexzll(6) where Ei, vi, p ( x ) and k, are Young's moduli, Poisson's ratios, load per unit breadth and averaging shear constant respectively.…”

“…et al[4], and AWES[6], FOX et al[7] and LIN and SHIH[8].It is known from these papers that similarity solutions do not exist for the above mentioned problems except for the limiting case of infinite Prandtl numbers. Thus Fox et al[7] applied the Kannan-Pohlhausen method to obtain an approximate solution while LIN and SHIH [8] used the local similarity method by omitting the derivatives with respect to the coordinate along the plate.…”

Fiber Element Model of Sandwich Panels with Soft Cores and Composite Skins in Bending Considering Large Shear Deformations and Localized Skin Wrinkling

“…Early on, sandwich panels fabricated from metallic cores were assumed to be incompressible (i.e. with negligible through-thickness deformation) and also negligible contribution to the flexural stiffness (Holt andWebber, 1982 andPearce, 1973). Others made the assumption that sandwich panels with a foam core act like an ordinary beam with equivalent sectional properties (Ogorkiewicz and Sayigh, 1973).…”