On Lagrange Theory of Shells of Revolution

2002/11/13 by В. В. Елисеев, Vladimir V. Eliseev, Eliseev, Vladimir V. +2
Engineering · Mathematics · Physics and Astronomy · #Advanced Research in Science and Engineering #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Geodetic Measurements and Engineering Structures #cond-mat #math-ph #math.MP #msc:53A05 #msc:53A45 #msc:74K25

paper · pdf · doi:10.48550/arxiv.math-ph/0211023

19 pages, 4 figures

arxiv created 2006/04/18 · arxiv updated 2009/11/30

Abstract

The new linear theory of elastic shells is presented in this paper. This theory is free from various logical imperfections, that may be found in the approaches of earlier researchers. On the base of this theory the equations of shells of revolution are built. The equations of cylindrical shell are compared by a number of properties with the equations of other researchers and with elasticity equations of 3-dimensional tube. Important quality decisions are stated.

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