Abstract
Problem of the multi-layer sandwich beams, subjected to bending, is considered in this paper. The influence of the density and shape of the sandwich beam core on the beam behavior was studied. The two beam configurations were analyzed: the beam whose cross-section is constant along its length and the beam with periodically varying cross-section along the length. Each of the two configurations was considered for the two different core shapes - with the square and the circular holes. The diagrams of the beam deflection in terms of the number of the core unit cells are presented for the two beam configurations and the two core shapes. Based on results presented in this paper, one can conclude that in the given loading conditions, the core density, after reaching certain critical value, ceases to affect the bent sandwich beam behavior. Comparison of the two cores shapes leads to conclusion that, in the same loading conditions, the core with the square holes provides for the better sandwich beam's characteristics, i.e. such a beam has smaller deflection with respect to the beam with the core with the circular holes.
Highlights
Light multilayer constructions and sandwich structures were studied by numerous investigators: Allen [1] has set the fundamentals for design and analysis of the sandwich structures
If the two configurations were compared with respect to the value of the free end’s deflection, one could conclude that the beam with the periodically varying cross section is somewhat better than the beam whose cross section is constant along its length, under the same loading conditions
The influence of the shape and density of the core on behavior of the bent sandwich beam was analyzed in this paper
Summary
Light multilayer constructions and sandwich structures were studied by numerous investigators: Allen [1] has set the fundamentals for design and analysis of the sandwich structures. The estimates of the optimal plates’ dimensions and the minimal mass of the sandwich plates with the prismatic and the truss cores were done. Considered, these structures represent a result of periodical repetition of the basic cell in one, two, or three dimensions. Is considered the influence of the unit cell’s size, i.e. number of unit cells within structure, on static behavior of a sandwich beam subjected to bending. The static analysis of such a beam is done in this paper, namely the beam’s bending stiffness and deflection are determined as a function of the number of the core unit cells, i.e. of the core’s density. The two considered configurations of the sandwich beams are shown in Figs. 1 and 2, each with two different core shapes, for the purpose of comparison of their influence on the beam’s behavior in the given loading conditions
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