Second-order torsional warping theory considering the secondary torsion-moment deformation-effect. (15th September 2017)

• Record Type: Journal Article
• Authors: Aminbaghai, Mehdi; Murin, Justin; Balduzzi, Giuseppe; Hrabovsky, Juraj; Hochreiner, Georg; Mang, Herbert A.
• Is Part Of: Engineering structures. Volume 147(2017:Sep. 15)
• Page Start: 724
• Page End: 739
• Publication Date: 2017-09-15
• Subjects: 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; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2017.06.023
• Languages: English
• ISSNs: 0141-0296

Abstract

Highlights: The differential equation for second-order torsional warping theory of doubly symmetric beams with thin-walled open or closed cross-sections is established. The variable axial force and the Secondary Torsion-Moment Deformation-Effect (STMDE) is investigated. The transfer matrix and finite element equations are established for second order torsional warping modal and elastostatic analysis. The numerical elastostatic and modal analyses of thin-walled beams with I cross-sections and rectangular hollow cross-sections are performed. Abstract: 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 thin-walled 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 thin-walled 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.