An analytical model is developed to study the extension-bending-torsion coupling behavior of an initially twisted elastic beam with an irregular cross-section. The determination of the complete displacement field requires solving a coupled two dimensional boundary value problem in a curvilinear coordinate system for the local deformations in the section plane and warping out of the section plane. The principle of minimum potential energy is applied to a discretized representation of the cross-section (Ritz method) to calculate solutions to this problem. Numerical results illustrate the pronounced effects pretwist, initial twist axis location, and in-plane deformation have on the behavior of solid and single and multi-celled sections, including airfoil sections.
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March 1992
Research Papers
On the Behavior of Pretwisted Beams With Irregular Cross-Sections
J. B. Kosmatka
J. B. Kosmatka
Department of Applied Mechanics and Engineering Science, University of California, San Diego, La Jolla, CA 92093
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J. B. Kosmatka
Department of Applied Mechanics and Engineering Science, University of California, San Diego, La Jolla, CA 92093
J. Appl. Mech. Mar 1992, 59(1): 146-152 (7 pages)
Published Online: March 1, 1992
Article history
Received:
September 15, 1989
Revised:
April 30, 1990
Online:
March 31, 2008
Citation
Kosmatka, J. B. (March 1, 1992). "On the Behavior of Pretwisted Beams With Irregular Cross-Sections." ASME. J. Appl. Mech. March 1992; 59(1): 146–152. https://doi.org/10.1115/1.2899420
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