E202 - Institut für Mechanik der Werkstoffe und Strukturen
Second-order Torsional warping theory; Warping torsional eigenvibrations; Secondary torsion-moment deformation-effect; Transfer matrix; Element matrices in the framework of the Finite Element Method; Beams with thin-walled closed and open cross-sections
In this paper, the influence of the variable axial force and of the Secondary Torsion-Moment Deformation-Effect (STMDE) on the deformations of beams due to torsional warping is investigated. The investigation is based on the second-order torsional warping theory of doubly symmetric beams with thin-walled open or closed cross-sections. The effect of the axial force on the torsional stiffness of thinwalled beams is considered according to the second-order torsional warping theory. The solutions of the underlying differential equations are used for setting up the relations, needed for application of the transfer matrix method. They are derived, considering both static and dynamic action. This enables stablishing the local element matrix of the twisted beam in the framework of the Finite Element Method (FEM). The numerical investigation comprises static and modal analyses of thinwalled beams with I cross-sections and rectangular hollow cross-sections. The results are compared with results obtained by the FEM, using solid and beam elements available in standard software.
The final publication is available via <a href="https://doi.org/10.1016/j.engstruct.2017.06.023" target="_blank">https://doi.org/10.1016/j.engstruct.2017.06.023</a>.