SECOND-ORDER TORSIONAL WARPING MODAL ANALYSIS OF THIN-WALLED BEAMS

Abstract eng:
This paper contains an investigation of the influence of the varying axial force and of Secondary Torsion Moment Deformation Effects (STMDE) on the deformations of thinwalled beams due to torsional warping. The investigation is based on second-order torsional warping theory of doubly symmetric thin-walled open and closed cross-sections. The axial force resulting from the torsional stiffness of the beams is considered by means of secondorder torsional warping theory. The solutions of the underlying differential equations are used for setting up relations needed in the framework of the transfer matrix method. These relations permit consideration of both static and dynamic action. On the basis of these relations, the local finite element equations of twisted beams are established. The numerical investigation consists of modal analysis of thin-walled beams with open I and rectangular hollow cross-sections. The results are compared with finite element solutions obtained with standard solid and beam finite elements.

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