Nonlinear analysis of semirigid steel frames having nonprismatic shear-deformable members.
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2022
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Resumo
Starting from the principle of virtual forces (PVF), one devises a flexibility-type method to obtain, based on the
Timoshenko beam theory (TBT), exact expressions for the structural properties of nonprismatic frame elements.
One adopts polynomials of different orders to interpolate the sectional rigidity values over the elements and
employs exact Timoshenko’s shape functions for evaluating deformation-dependent structural properties, such
as geometric stiffness. In this respect, we present a mathematically formal process to obtain the changes in the
preexisting element forces needed to calculate geometric stiffnesses. The procedure adopted in this paper easily
allows one to include higher-order nonlinear terms in the analysis. Robustness of the proposed formulation is
observed by conducting geometrically nonlinear analyses of 2D semirigid steel frames possessing nonprismatic
members. General nonlinear curves describing the semirigid connections may be easily incorporated into the
analysis.
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Exact Timoshenko’s shape functions, Nonprismatic frame elements, Nonlinear semirigid connections, Geometric nonlinear analysis, Cross sections of arbitrary shapes
Citação
ARAÚJO, F. C. de; RIBEIRO, I. S.; MACHADO, R. M. Nonlinear analysis of semirigid steel frames having nonprismatic shear-deformable members. Engineering Structures, v. 257, 2022. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0141029622001900>. Acesso em: 29 abr. 2022.