Generalized Warping Analysis of Composite Beams of an Arbitrary Cross Section by BEM. II: Numerical Applications
Publication: Journal of Engineering Mechanics
Volume 140, Issue 9
Abstract
In this two-paper contribution, a general formulation for the nonuniform warping analysis of composite beams of arbitrary simply or multiply connected cross sections, under arbitrary external loading and general boundary conditions, is presented. In Part I, the governing differential equations have been derived, leading to 10 boundary value problems with respect to the kinematical components and independent warping parameters as well as to seven two-dimensional boundary value problems for the involved shear and torsional warping functions. The aforementioned boundary value problems for the beam are numerically solved using the analog equation method (AEM), a boundary element method (BEM)-based technique. The warping functions and the geometric constants, including the additional ones due to warping, are evaluated with a pure BEM approach. In this Part II, numerical applications of great practical interest are worked out to demonstrate the efficiency and accuracy of the developed method compared with FEM results and results available in the literature. In these examples, the effects arising owing to nonuniform warping in homogeneous and composite beams are illustrated.
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Acknowledgments
This research has been cofinanced by the European Union [European Social Fund (ESF)] and Greek national funds through the Education and Lifelong Learning Operational Program of the National Strategic Reference Framework (NSRF) Research Funding Program, THALES: Reinforcement of interdisciplinary and/or inter-institutional research and innovation.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 9 • September 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 29, 2013
Accepted: Jan 27, 2014
Published online: Feb 26, 2014
Discussion open until: Jul 26, 2014
Published in print: Sep 1, 2014
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