The use of multidimensional space in the graph-analytical description of multifactorial events and processes
Abstract
The article discusses the grapho-analytical properties of straight lines in a special case applied in three-dimensional space in order to automatically line the plastic function used in the design of shell surfaces.
References
Chiras A.A. Linear programming methods for calculating elastic-plastic systems. - L .: Stroyizdat, 1969 .- 198 p.
Hilbert D. Cohn-Vossen S. Visual geometry. (Per. From German), 3rd ed. - M .: Nauka, 1981 .-- 344 p.
Karpelevich F.I., Sadovsky L.Ye. Elements of linear algebra and linear programming. - M., 1963 .-- 274 p.
Rzhanitsyn A.R. Calculation of shells by the limiting equilibrium method using linear programming. - Proceedings of the 71st All-Union conference on the theory of plates and shells. - M .: Nauka, 1967.
Schouie P. H. Mehrdimensiona Ee Qeom etrce. T. 1. - Leipzig, - P. 902-295.
Dekhtyar A.S. To the bearing capacity of rigid-plastic shells // In: Research on the theory of structures, Vol.24. 1980.
Dekhtyar A.S., Lipsky A.G. On the flow conditions of iron concrete shells // Ed. universities: Construction and architecture. 1983, No. 9, - S. 38-43.
Dubinsky A.M., Sharapov G.V. Experimental study of the limiting equilibrium of reinforced concrete shells outlined along the surface of a hyperbolic paraboloid. - Building construction. - Kiev: BudŃ–velnik, 1973. Issue. 22.
Hodge F. J. Comparison of the yield conditions of plastic shells // In: Problems of mechanics of continuous media, 1961. AN SSSR.NO. Cherednichenko L.S., Gumen N.S., Gumen B.C. Geometric modeling of some multiparameter systems of chemical technology. - Kiev: Vishcha school, 1977 .- 108 p.
Akhmedov Yu.Kh. Automatic approximation of simply connected hypersurfaces by polyhedra as applied to the calculation of the bearing capacity of the shells. Author's abstract. diss. ... Cand. those. sciences. - Kiev. 1984 .-- 208 p.
Zavyalov Yu.S. Spline in engineering geometry. - M: 1985 .- 224 p.
