Abstract
We consider the generalized statements of the problems of optimization of geometric shapes for simple and complex domains under given constraints. Along with the condition of minimization of the domain boundary, some additional constraints are introduced on the pointwise or contour “fastening” of the domain. The obtained results can be used for optimal design of high-pressure tanks and vessels, including the multisection ones.
Original language | English |
---|---|
Pages (from-to) | 305-311 |
Number of pages | 7 |
Journal | Journal of Applied and Industrial Mathematics |
Volume | 11 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jul 2017 |
Keywords
- isoepiphanic and isoperimetric problems
- pressure vessels
- the minimum weight