DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

SUPERELEMENT OF THE RECTANGULARCROSS SECTION COLUMN HAVING PHYSICAL NONLINEARITY

Vestnik MGSU 6/2013
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495) 583-47-52; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vasil’ev Aleksey Viktorovich - Rodnik Limited Liability Company design engineer, Rodnik Limited Liability Company, 22 Kominterna St., Tver, 170000, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 50-56

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 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.

DOI: 10.22227/1997-0935.2013.6.50-56

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