A CONCEPT OF MULTI-OPTIONAL OPTIMALITY AT MODELING IDEAL GAS ISOTHERMAL PROCESSES

Authors

  • A. V. Goncharenko National Aviation University

DOI:

https://doi.org/10.18372/1990-5548.52.11885

Keywords:

Isothermal process, reversible equilibrium process, process parameters relation, optimization, entropy extremization principle, multi-optionality, hybrid optional functions, optimal distribution, variational problem

Abstract

Considered a multi-optional method of finding a relation between an ideal gas parameters foran isothermal reversible equilibrium process. Specific volume hybrid optional functions are taken into account at the optimization of an objective functional which includes a type of entropy uncertaintymeasure for those specific volume hybrid optional functions. Required mathematical models for obtainingthe optimal multi-optional distributions are introduced. Calculation experiments are carried out. Thenecessary diagrams are plotted.

Author Biography

A. V. Goncharenko, National Aviation University

Aircraft Airworthiness Department, Educational & Research Aerospace Institute

Doctor of Engineering. Associate Professor

References

O. Zaporozhets, V. Tokarev, and K. Attenborough, Aircraft Noise. Assessment, prediction and control, Glyph International, Tailor and Francis, 2011, 480 p.

S. Dmitriyev, A. Koudrin, A. Labunets, and M. Kindrachuk, “Functional Coatings Application for Strengthening and Restoration of Aviation Products.”

Aviation. 2005. vol. 9, no. 4. pp. 39–45.

O. Solomentsev, M. Zaliskyi, and O. Zuiev, “Estimation of Quality Parameters in the Radio Flight Support Operational System.” Aviation. 2016.

vol. 20, no. 3. pp. 123–128.

V. M. Sineglazov, A. A. Ziganshin, M. P. Vasylenko, “Computer-Aided Design of Wind Power System with Combined Rotor.” Electronics and Control

Systems. 2016. vol. 3(49). pp. 73–78. (ISSN: 1990-5548)

O. A. Sushchenko, “Features of Control of Tracking Modes.” Electronics and Control Systems. 2016. vol. 3(49). pp. 40–47. (ISSN: 1990-5548)

V. Kasianov, Subjective Entropy of Preferences, Subjective Analysis: Monograph, Warsaw, Poland: Institute of aviation Publ., 2013, 644 p.

V. A. Kasianov, Subjective Analysis: Monograph, Kyiv, Ukraine: National Aviation University, 2007, 512 p. (in Russian)

V. A. Kasianov and A. V. Goncharenko, Variational Principles of Subjective Analysis. Modified Euler-Lagrange Variational Principle. Entropy Approach:

Monograph, Kyiv, Ukraine: Publishing House “Pryoritety”, 2015, 112 p. (in Russian)

V. A. Kasianov and A. V. Goncharenko, Light and Shadow. Proportions of Shadow Economy. Entropy Approach: Monograph, Kyiv, Ukraine: Publishing

House “Kafedra”, 2013, 86 p. (in Russian)

E. R. Jones and R. L. Childers, Contemporary college physics: 3rd ed., USA: WCB/McGraw-Hill, 1999, 1025 p.

V. A. Kirillin, V. V. Sychov, and A. E. Sheindlin, Engineering Thermodynamics, Moscow, Russia: “Energoatomizdat”, 1983, 414 p. (in Russian)

V. Kasyanov and K. Szafran, “Some Hybrid Models of Subjective Analysis in the Theory of Active Systems.” Transaction of the Institute of Aviation.

vol. 240, no. 3. pp. 27–31. (ISSN 0509-6669)

A. V. Goncharenko, “Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor

V. A. Kasianov.” Automatic Control and Information Sciences. 2014. vol. 2, no. 1. pp. 20–25. DOI:10.12691/acis-2-1-4.

A. V. Goncharenko, “Optimal Managerial and Control Values for Active Operation.” Electronics and Control Systems. 2016. vol. 3(49). pp. 112–115.

(ISSN: 1990-5548) http://er.nau.edu.ua:8080/handle/NAU/22359

A. V. Goncharenko, “Alternativeness of Control and Power Equipment Repair Versus Purchasing According to the Preferences of the Options.”

Electronics and Control Systems. 2016. vol. 4(50).

pp. 98–101. (ISSN: 1990-5548)

A. V. Goncharenko, “One Theoretical Aspect of Entropy Paradigm Application to the Problems of Tribology.” Problems of friction and wear. 2017.

vol. 1(74). pp. 78–83. (ISSN: 0370-2197)

A. V. Goncharenko, “An Alternative Method of the Main Psychophysics Law Derivation.” Clin. and Exp. Psychol. 2017. vol. 3(155). pp. 1–5. (ISSN: 2471-

doi: 10.4172/2471-2701.1000155.

A. V. Goncharenko, “Several Models of Physical Exercise Subjective Preferences.” Clin. and Exp. Psychol. 2016. vol. 2(121). pp. 1–6. (ISSN: 2471-

doi:10.4172/2471-2701.1000121.

A. V. Goncharenko, “Aeronautical Engineering Maintenance Periodicity Optimization with the Help of Subjective Preferences Distributions.” Proceedings of the NAU. 2017. vol. 2(71). pp. 51–56. (ISSN: 1813-1166 print / ISSN: 2306-1472 online) DOI: 10.18372/2306-1472.71.11746

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How to Cite

Goncharenko, A. V. (2017). A CONCEPT OF MULTI-OPTIONAL OPTIMALITY AT MODELING IDEAL GAS ISOTHERMAL PROCESSES. Electronics and Control Systems, 2(52), 94–97. https://doi.org/10.18372/1990-5548.52.11885

Issue

Vol. 2 No. 52 (2017)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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