Methodology 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

Authors

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2020.4.06

Keywords:

inverse boundary value problems in a stochastic formulation, a priori and parametric uncertainties, methods and systems for estimating quantities and processes, decision-making theory

Abstract

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”.

Author Biographies

Iryna Trofymova, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Iryna O. Trofymova,

a senior lecturer at the Department of Mathematical Modeling and Artificial Intelligence of National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Ievgen Meniailov, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Ievgen S. Meniailov,

a senior lecturer at the Department of Mathematical Modeling and Artificial Intelligence of National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Current areas of interest: robust optimal design; statistical processing of experimental data; systems and methods of decision making; computer systems architecture; methods of stochastic optimization.

Serhii Chernysh, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Serhii V. Chernysh,

a Ph.D. student at the Faculty of Aircraft Control Systems of the National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Current areas of interest: robust optimal design; statistical processing of experimental data; systems and methods of decision making; computer systems architecture; methods of stochastic optimization.

Sergiy Yepifanov, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Sergiy V. Yepifanov,

a professor, Doctor of Technical Sciences, the head of the Department of Aircraft Engine Design of the Faculty of Aircraft Engines of the National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Current areas of interest: aircraft engine designing, simulation, automatic control and health management.

Olexandr Khustochka, Zaporizhzhia Machine-Building Design Bureau Progress State Enterprise named after Academician O.H. Ivchenko, Zaporizhia

Olexandr M. Khustochka,

a full member of the Engineering Academy of Ukraine, a deputy chief designer of the Zaporizhzhia Machine-Building Design Bureau Progress State Enterprise named after Academician O.H. Ivchenko, Zaporizhia, Ukraine.

Current areas of interest: development of advanced jet engines; thermo-gas-dynamic mathematical models of gas turbine engines including their identification and test methods; experimental research of gas turbine engine performance.

Mykhaylo Ugryumov, V. N. Karazin Kharkiv National University, Kharkiv

Mykhaylo L. Ugryumov,

Doctor of Engineering, a professor at the Theoretical and Applied Systems Engineering Department of the Faculty of Computer Science of V. N. Karazin Kharkiv National University, Kharkiv, Ukraine.

Current areas of interest: computational fluid dynamics (CFD), finite-difference and finite volume methods, 3D CAE- and design systems using the 3D CFD direct and inverse codes; robust optimization design and intelligent diagnostics of systems; experiment's planning and statistical processing of experimental data; systems and methods of decision making.

Andriy Myenyaylov, Commercial Aircraft Engine Co., Ltd.

Andriy V. Myenyaylov,

Ph.D., a special consultant of compressor aerodynamics at Commercial Aircraft Engine Co., Ltd, China.

Current areas of interest: aerodynamics of compressors of various types and purposes, numerical methods for calculating flows in turbomachines, optimal design; aerodynamic design of compressors, preparation of test programs, testing, gas-dynamic adjustment of the facility to the level of specified technical requirements, compressors certification.

Dmytro Chumachenko, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Dmytro I. Chumachenko,

Candidate of Technical Sciences (Ph.D.), an associate professor at the Department of Mathematical Modeling and Artificial Intelligence of the Faculty of Aircraft Control Systems of National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Current areas of interest: simulation of epidemic processes, agent-based simulation, artificial intelligence, fuzzy logic.

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Published

2020-12-29

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Problem- and function-oriented computer systems and networks