Distortional Analysis of Beams of Arbitrary Cross Section Using BEM
Publication: Journal of Engineering Mechanics
Volume 143, Issue 10
Abstract
This paper presents a general formulation for the distortional analysis of beams of arbitrary cross section under arbitrary external loading and general boundary conditions. The nonuniform distortional/warping distributions along the beam length are taken into account by employing independent parameters multiplying suitable deformation modes accounting for in-plane and out-of-plane cross-sectional deformation (distortional/warping functions). The paper proposes a novel procedure for cross-sectional analysis which results in the solution of separate boundary value problems for each resisting mechanism (flexure, torsion) on the cross-sectional domain instead of relying on eigenvalue analysis procedures encountered in the literature. These distortional and warping functions are computed employing a boundary element method (BEM) procedure. Subsequently, sixteen boundary value problems are formulated with respect to displacement and rotation components as well as to independent distortional/warping parameters along the beam length and solved using the analog equation method (AEM), a BEM-based technique. After the establishment of kinematical components, stress components on any arbitrary point of each cross section of the beam can be evaluated, yielding a prediction in good agreement with three-dimensional finite-element method (FEM) solutions, in contrast to conventional beam models.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 10 • October 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Dec 6, 2016
Accepted: Apr 19, 2017
Published online: Jul 26, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 26, 2017
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