Dimensionality of real environment spaces
Journal: Bulletin of Prydniprovs'ka State Academy of Civil Engineering and Architecture (Vol.2014, No. 3)Publication Date: 2015-12--1
Authors : A. S. Shipilov;
Page : 18-26
Keywords : space; anisotropic environment; dimensionality; rectangular coordinate system; the system; the basis of the model of an elastic body.;
Abstract
It was found that dimensionality of the space of fully anisotropic environment is 24. Geometric model of such space represents a set of 8 three-dimensional rectangular coordinate systems consisting of 4 bases of positive and 4 bases of negative direction of the axis of coordinates coupled by common deviatoric plane and hydrostatic axes, lying at the same line divided by the starting point of the coordinate in two opposite directions, wherein systems in pairs as a whole are turned around hydrostatic angle of 90°, 180°, 270° relatively to one basis taken as a source. The examples of using open space of 24-dimensional environment in application to mechanic of deformed environment are given.
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Last modified: 2015-11-16 21:52:14