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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Girfanov I.S. – candidate of technical sciences, professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Jumanov V.A. – candidate of technical sciences, associate professor E-mail: 238 l This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleAbout solving common differential equations with Out-functions in context of searching optimal structural form of structures during static and dynamic loads
Abstract.The article shows usage of Out-functions specifically in differential equations applied to optimization of structural form of the plain and spatial braced structures for example plane and spatial trusses, multi span girders, arcs, frames, slabs, easy-sloped shells e.t.c. while Out-functions usually are used directly in optimization tasks. Differential equations which have been reviewed in the article are homogeneous and non-homogeneous linear equations with right part of equation consisted of sum of the linear and nonlinear Out-functions. The out-function is the function that operates selecting positive value of variae from two possie variants. The sum of the Out­ function is а consequently compound of different linear and non linear functions. For instance if compress and tensile brace element of steel truss have nonlinear and linear dependences, respectively, between volume, mass or evaluated cost of the brace element and axial force therefore overall function would е consist of nonlinear and linear segments. The approaches which are shown in article could е used у researchers for mass and cost optimization purposes.
Keywords.differential equations, Out-functions, fundamental system.
For citations:Girfanov I.S., Jumanov V.A. // Izvestiya KGASU. 2014. №1(27) P.195-199.


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