Численное решение двухточечных задач статики распределенных протяженных систем с помощью метода Нелдера–Мида / Калюх Ю. И., Трофимчук А. Н., Лебедь А. Г. (2019)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2019, 55 (4))

Kaliukh I., Trofymchuk O., Lebid O.
Numerical solution of two-point static problems for distributed extended systems by means of the Nelder–Mead method

The authors describe a numerical algorithm for reducing two-point static problems of distributed extended systems in the field of body and surface forces to a nonlinear programming problem that can be solved by numerical methods. Variations in the dimension of the physical problem being solved do not change the entire numerical algorithm, but only lead to replacement of some of its blocks. Numerical examples illustrating the described algorithm are given. The problems of determining power and geometric characteristics of deep water intake of nuclear power plants, assessing the quality of the diverter and determining the stiffness coefficient of the anchor coupling of semi-submersible drilling platform are considered as examples of nonlinear programming problems. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: extended system, Nelder–Mead method, numerical modeling, quadratic functions, two-point problem, Distributed computer systems, Nonlinear programming, Nuclear fuels, Nuclear power plants, Numerical models, Semisubmersibles, Extended systems, Geometric characteristics, Nonlinear programming problem, Numerical algorithms, Quadratic function, Semi-submersible drilling, Stiffness coefficients, Two-point, Numerical methods


Cite:
Kaliukh I., Trofymchuk O., Lebid O. (2019). Numerical solution of two-point static problems for distributed extended systems by means of the Nelder–Mead method. Cybernetics and Systems Analysis, 55 (4), 109-118. doi: https://doi.org/10.1007/s10559-019-00170-3 http://jnas.nbuv.gov.ua/article/UJRN-0001003098 [In Russian].


 

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