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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013 Number 2(22), Pages 5–16 (Mi vtgu301)

This article is cited in 3 papers

MATHEMATICS

Honeycomb panel deformation modeling

M. S. Bukhtyak, A. V. Nikulchikov

Tomsk State University

Abstract: A honeycomb panel in its initial form is modeled with a pair of plane domains the corresponding points of which are joined by segments with equal lengths orthogonally to both the planes. One of the plane domains is superimposed on a surface, which causes local distortions of lengths on the obtained boundary surface of the deformed panel. Lengths on the second bounding surface are also locally distorted due to joints along normal lines. The ratio of the corresponding first quadratic forms serves as a measure of the distortion.

Keywords: honeycomb panel, local metric, first quadratic form, bending.

UDC: 519.711.3

Received: 12.12.2012



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