539.3 Asymptotic theory of constructive-orthotropic plates with two-periodic structures

Dimitrienko Y. I. (Bauman Moscow State Technical University), Gubareva E. A. (Bauman Moscow State Technical University), Sborschikov S. V. (Bauman Moscow State Technical University)

MULTILAYER PLATES, TWO-PERIODIC STRUCTURE, HONEYCOMB SANDWICH PANELS CONSTRUCTIVE-ORTHOTROPIC PLATES, TWO-PERIODIC STRUCTURE, ASYMPTOTIC EXPANSIONS, LOCAL PROB-LEMS.


doi: 10.18698/2309-3684-2014-1-3656


The theory of thin constructive-orthotropic plates with a two-periodic structure was suggested. Examples of such structures are honeycomb sandwich panels and backed plates. The theory is based on equations of a three-dimensional elasticity theory with the help of asymptotic expansions in terms of a small parameter being the ratio of a plate thickness and a characteristic length without introducing any hypotheses on a distribution character for displacements and stresses through the thickness. Local problems were formulated for finding stresses in all structural elements of a plate. It was shown that the global (averaged by the certain rules) equations of the plate theory are similar to equations of the


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Dimitrienko Y., Gubareva E., Sborschikov S. Asymptotic theory of constructive-orthotropic plates with two-periodic structures. Маthematical Modeling and Coтputational Methods, 2014, №1 (1), pp. 36-56



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