Superelement of the rectangularcross section column having physical nonlinearity СУПЕРЭЛЕМЕНТ КОЛОННЫ ПРЯМОУГОЛЬНОГО ПОПЕРЕЧНОГО СЕЧЕНИЯ С ГЕОМЕТРИЧЕСКОЙ НЕЛИНЕЙНОСТЬЮ

Agapov Vladimir Pavlovich, Vasil'ev Aleksey Viktorovich
2013 Vestnik MGSU  
The superelement of the rectangular cross section column designed by the authors earlier for the linear analysis purposes is now applied to analyze the same column with account for the geometric nonlinearity. The superelement is composed of eight solid finite elements. The stiffness matrix technique, the initial stress matrix and the analysis of the vector of unbalanced nodal forces are described.The procedure for excluding internal degrees of freedom of a superelement, using the layer-by-layer
more » ... the layer-by-layer reduction method, is described in detail. All calculation formulas are provided in the article. The element, developed by the authors, was adapted to PRINS finite element software; therefore, it can be used to perform the nonlinear analysis of building structures. The console beam, having a rectangular cross section, was analyzed in transverse longitudinal bending to verify the developed element. The comparison of the theory and calculations using PRINS software proved the accuracy of the proposed technique.Разработанный авторами на основе трехмерной теории упругости суперэлемент колонны прямоугольного сечения, предназначенный для линейных расчетов, развит применительно к расчету подобных колонн с учетом геометрической нелинейности. Элемент адаптирован к вычислительному комплексу ПРИНС и в составе этого комплекса может использоваться для геометрически нелинейного расчета строительных сооружений, содержащих колонны прямоугольного сечения.
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