Geodesic
Structural optimization and decomposition of electronic equipment constructions on the basis of evolutionary discrete models
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2016), pp. 73-82

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The article is devoted to the method of three-dimensional discrete modeling of the spatial bar systems for solving problems of simulation and structural optimization of electronic equipment constructions. A way of designing mathematical models of constructions with a non-fixed number of design variables and a method for the formation of the rigidity matrix are described. The mathematical modeling of the constructions with a non-fixed number of design variables is possible providing the application of the mathematical apparatus of implicative choice algebra. Under certain conditions, in the course of solving the problem of optimizing the construction structure, it is possible to divide the computational model of construction into some untied fragments. The process is accompanied by simultaneous and independent solution of both modeling problem and structural optimization of the obtained fragments in one area of design. The approach to the structure optimization of constructions and decomposition of constructions into untied fragments is described. The method for determining the matrix of design variables of construction fragments is shown. The problem of construction structure optimization at one-alternative loading is solved.
Keywords: stress-strain state, electronic equipment constructions, engineering analysis of constructions, optimization of constructions.
Mots-clés : design automation 
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     author = {V. G. Pokrovskiy},
     title = {Structural optimization and decomposition of electronic equipment constructions on the basis of evolutionary discrete models},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {73--82},
     publisher = {mathdoc},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2016_5_a7/}
}
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V. G. Pokrovskiy. Structural optimization and decomposition of electronic equipment constructions on the basis of evolutionary discrete models. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2016), pp. 73-82. http://geodesic.mathdoc.fr/item/VTGU_2016_5_a7/