Geodesic
Isoepiphanic forms of pressure vessels
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 3-10

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We consider the generalized statements of the optimization problems of the geometric shape of simple and composed domains under given constrains. Alongside the condition of the minimality of the boundary of the domain, some additional constraints are introduced on pointwise or contour “fastening” of the domain. The obtained results can be used for the optimal design of tanks and pressure vessels including multisection ones.
Keywords: pressure vessels, isoperimetric problems, the minimum weight. 
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     author = {S. N. Astrakov and S. K. Golushko and L. A. Korolenko},
     title = {Isoepiphanic forms of pressure vessels},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     publisher = {mathdoc},
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     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a0/}
}
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S. N. Astrakov; S. K. Golushko; L. A. Korolenko. Isoepiphanic forms of pressure vessels. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 3-10. http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a0/