The paper presents the optimization of toroidal shell cross-sections under internal pressure. The wall thickness distribution along a circular centerline is derived in an analytical form. In membrane solution, this cross-section gives a constant Mises stress all over the shell. Therefore, it leads to material saving and contained volume increase in comparison with the traditional cross-section of circular constant thickness. The optimum shapes are designed for two states of shell, one is elasticity and the other is up to destruction. The maximum material saving can reach 70% in some configurations of toroid. Results of the proposed method are as good as or better than those found in literature.
Optimum Shape of Constant Stress Toroidal Shells
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received January 30, 2012; final manuscript received May 10, 2012; published online March 18, 2013. Assoc. Editor: Haofeng Chen.
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Truong Vu, V. (March 18, 2013). "Optimum Shape of Constant Stress Toroidal Shells." ASME. J. Pressure Vessel Technol. April 2013; 135(2): 024501. https://doi.org/10.1115/1.4007043
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