Jrad Wassim
Université de Lorraine, France
Title: Analytical and Finite element analyses of Thin-Walled Beams vibration
Biography
Biography: Jrad Wassim
Abstract
We investigate the vibration of thin-walled beams with arbitrary open cross section shape. Based on beam element model accounting for warping and flexural torsional coupling, analytical solutions are derived for higher free vibration modes in bending, torsion and flexuraltorsional coupled modes. In the model, the effects of rotational inertial kinematic terms are included. The finite element approach of the model is also investigated. For this aim, 3D beams with 7 seven degree of freedom per node are adopted. The model is validated by comparison to benchmark solutions found in literature where numerical and recent experimental results are considered. Compared to classical models where rotational terms are neglected, more accurate results are obtained with the present model.