Time-domain analysis of framed structures based on “exact” structural-property matrices for nonprismatic Timoshenko’s elements.
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2022
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Resumo
This paper applies a unified process to calculate ”exact” (consistent) finite-element
(FE) matrices for framed structures having nonprismatic elements and including shear-
deformation and rotational-inertia effects. In this process, the exact expressions for the
element stiffness and nodal-load coefficients result from applying the principle of virtual
forces (PVF) at the element level. Rigidity values, determined at a certain number of cross
sections in the frame element, are employed to describe how the corresponding rigidities
vary along its length. For that, interpolation polynomials of different orders are consid-
ered. Exact Timoshenko’s shape functions, built under the most general cases of rigidity
variation, are used for evaluating the mass matrix coefficients. In the applications, com-
plex 2D frames with nonprismatic elements are considered to simulate bridge structures
under seismic excitation and a generic harmonic load. Comparisons with highly accurate
response time-histories obtained by employing ANSYS (3D) solid-FE models are effected to
verify the robustness of the proposed formulation.
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Response time-history, Exact Timoshenko’s shape functions, Nonprismatic frame elements, Arbitrary cross sections, Seismic excitations
Citação
PILON, F. R. et al. Time-domain analysis of framed structures based on “exact” structural-property matrices for nonprismatic Timoshenko’s elements. Applied Mathematical Modelling, v. 103, p. 421-444, 2022. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0307904X21005205>. Acesso em: 29 abr. 2022.