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Optimization of Torsion Bars with Rounded Polygonal Cross Section
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.
Optimization of Torsion Bars with Rounded Polygonal Cross Section
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.
Optimization of Torsion Bars with Rounded Polygonal Cross Section
Wang, C. Y. (author)
Journal of Engineering Mechanics ; 139 ; 629-634
2013-04-15
62013-01-01 pages
Article (Journal)
Electronic Resource
English
Optimization of Torsion Bars with Rounded Polygonal Cross Section
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