Open AccessMethodology of non-linear robust estimation for the solutions synthesis of inverse and direct multidisciplinary problems in engineering dimensional chains calculation based on discrete analog data
Author(s) -
Iryna Trofymova,
Ievgen Meniailov,
Serhii Chernysh,
Sergiy Yepifanov,
Olexandr Khustochka,
Mykhaylo Ugryumov,
Andriy Myenyaylov,
Dmytro Chumachenko
Publication year - 2020
Publication title -
sistemnì doslìdžennâ ta ìnformacìjnì tehnologìï
Language(s) - English
Resource type - Journals
eISSN - 2308-8893
pISSN - 1681-6048
DOI - 10.20535/srit.2308-8893.2020.4.06
Subject(s) - inverse problem , mathematical optimization , inverse , parametric statistics , a priori and a posteriori , computer science , boundary (topology) , mathematics , algorithm , mathematical analysis , philosophy , statistics , geometry , epistemology
This paper analyses the definition of inverse and direct problems in engineering dimensional chains calculation based on discrete analogue data and the methodologies for solving these problems. It is shown that the direct dimensional chains calculation, which belongs to the class of inverse boundary value problems in a stochastic formulation, can be transformed into multi-criteria problems of stochastic optimization with mixed conditions. The new multi-step solutions search methodology for these problems is based on non-linear robust estimation methods. It can be achieved through hierarchical two-level decisions synthesis scheme development. At the first step, this scheme includes identification of surrogate models (in the form of regression equations). At the second step, the effective robust estimates are computed to determine unknown values; estimations of unknown quantities are carried out under a priori and parametric data uncertainties. Results of calculations of inverse and direct problems in engineering dimensional chains for two-stage axial compressors are presented. They were obtained using interactive computer systems for decision-making support “ROD&IDS”.