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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] Litvinskaya O. S., Sal'nikov I. I., “Mathematical model of choice radiointerface standards”, Fundamental Investigations, 2011, no. 12-3, 562–567 | Zbl

[2] Andreeva T. V., Kurnosov V. E., “The methodology of solving problems on stated load construction synthesis”, XXI century: Resumes of the Past and Challenges of the Present, 2012, no. 01(05), 192–197 | MR

[3] Volgin L. I., Levin V. I., Continuous logic. Theory and application, Izd-vo Akademii nauk Estonii, Tallinn, 1990

[4] Levin V. I., “Continuous logic. Basic comprehension”, Logical Investigations, 2006, no. 13, 90–107

[5] Pokrovskiy V. G., “Information technologies in design of load-bearing structures of the electronic equipment on the basis of evolutional discrete models”, XXI century: Resumes of the Past and Challenges of the Present, 2012, no. 05(09), 198–205

[6] Pokrovskiy V. G., “The software complex of structural optimization of load-bearing bar constructions on the basis of the implicative algebra of choice”, Information Systems and Technologies, 2013, no. 2(76), 39–48