6533b833fe1ef96bd129c695

RESEARCH PRODUCT

BEAM ELEMENT UNDER FINITE ROTATIONS

Emma La Malfa RibollaMilan JirásekMartin Horák

subject

Finite rotations nonlinear beam shooting methodSettore ICAR/08 - Scienza Delle Costruzioni

description

The present work focuses on the 2-D formulation of a nonlinear beam model for slender structures that can exhibit large rotations of the cross sections while remaining in the small-strain regime. Bernoulli-Euler hypothesis that plane sections remain plane and perpendicular to the deformed beam centerline is combined with a linear elastic stress-strain law. The formulation is based on the integrated form of equilibrium equations and leads to a set of three first-order differential equations for the displacements and rotation, which are numerically integrated using a special version of the shooting method. The element has been implemented into an open-source finite element code to ease computations involving more complex structures. Numerical examples show a favorable comparison with standard beam elements formulated in the finite-strain framework and with analytical solutions.

yearjournalcountryeditionlanguage
2021-01-01
10.14311/app.2021.30.0087http://hdl.handle.net/10447/512251