Optimization of Torsion Bars with Rounded Polygonal Cross Section
Publication: Journal of Engineering Mechanics
Volume 139, Issue 5
Abstract
Rounding of the corners of a polygonal bar (or a polygonal tube conveying fluid) is unavoidable in practice. This paper studies the effect of rounding on the torsional rigidity by introducing a family of homotopy cross sections and an improved Ritz method. Rounding decreases both rigidity and cross-sectional area. For a given mass, there exists an optimal shape for maximized rigidity.
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References
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 5 • May 2013
Pages: 629 - 634
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 10, 2011
Accepted: Apr 4, 2012
Published online: Apr 15, 2013
Published in print: May 1, 2013
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