Expert trend identification of structural stability
DOI:
https://doi.org/10.30838/J.PMHTM.2413.261218.42.564Keywords:
structural stability, correct task, expert system, trend, knowledge base,Abstract
Abstract. Formulation of the problem. Luck of a unified concept, which identified integral criteria – structural stability of the static system, caused by the existing incompleteness of his formal representations, what justifies and initiate research of this system. Identification of the trend of structural stability. Quantification values of this function using two-digit logic, representing either the integrity of the structure of the object or its destruction is impossible, because it leads the task to conditionally correct. Relatively small changes, for example, of some technological parameter, changing structural stability of the identification object, what is not fixing by two-digit logic. In this connection, regularization of the named task is permissible through the use of an expert system that includes a specialized knowledge base. For the practical substantiation of the approach to determining structural stability, a metal was chosen (rolled from low carbon low alloy steel Ст3пс steel), whose reference points were assigned in the range of characteristics qualities limited by normative documents: ultimate strength - sв = 370...490 MPa; yield strength - sТ = 205...245 MPa; hardness - HRB = 62...70. Based on the analysis of the influence of synergistically interacting variables and the resulting equation, the trend of structural stability is determined. The significance of the work lies in establishing the trend of the structural stability of the object of identification, which allows predicting the values of the parameters that determine it. Conclusions and recommendations. An algorithm for determining the trend of parameters, according to which the structural stability of the object of identification is changed, is given: 1. Establishing his expert identification; 2. Determination of the working area of probabilistic assessments that establish the trend of structural stability and its quantification; 3. Establishing a trend of structural stability.
References
Timoshenko S.P. and Gere J.M. Theory of Elastic Stability. New York : McGraw-Hill, 1961, 541 p.
Galambos T.V. and Surovek A. E. Structural Stability of Steel: Concepts and Applications for Structural Engineers. New Jersey: John Wiley & Sons, Inc., 2008, 384 p.
Yoo Chai H. and Lee Sung C. Stability of structures: principles and applications. London: Butterworth-Heinemann, 2011, 529 p.
Andronov A.A. and Pontryagin L.S. Grubyye sistemy [Rough systems]. Doklady Akademii Nauk Soyuza Sovetskikh Sotsialisticheskikh Respublik [Journal of Reports of the Academy of Sciences of the Union of Soviet Socialist Republics]. 1937, vol. 14, no. 5, рp. 247−250. (in Russian).
Volchuk V., Klymenko I., Kroviakov S. and Orešković M. Method of material quality estimation with usage of multifractal formalism. Tehnički glasnik − Technical Journal, 2018, vol. 12, no. 2, рр. 93−97. Available at: https://doi.org/10.31803/tg-20180302115027
Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Topologicheskiye i fraktal'nyye invarianty struktury dlya otsenki kachestva metalla [Topological and fractal invariants of a structure to assess the quality of a metal]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2017, no. 4, pp. 42−48. (in Russian). Available at: https://doi.org/10.15407/dopovidi2017.04.00
Volchuk V.N. K voprosu o primenenii teorii mul'tifraktalov dlya otsenki mekhanicheskikh svoystv metalla [On the application of the theory of multifractals for the evaluation of the mechanical properties of a metal]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2014, no. 3, pp. 12–19. (in Russian).
Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. K voprosu o postanovke zadachi identifikatsii fraktal'noy struktury metalla [Statement on the issue of the problem identification of fractal metal structures]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2016, no. 5, pp. 35–39. (in Russian). Available at: http://visnyk.pgasa.dp.ua/article/view/68905/63995
Tikhonov A.N., Arsenin V.Yu. Solutions of Ill-Posed Problems.New York : Winston, 1977, 258 p.
Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Regularization of One Conditionally Ill-Posed Problem of Extractive Metallurgy. Metallofizika i Noveishie Tekhnologii, 2018, vol. 40, no. 9, pр. 1165-1171. Available at: DOI: 10.15407/mfint.40.09.1165
Hadamard J. Sur les Problèmes aux Dérivées Partielles et Leur Signification Physique. Princeton University Bulletin. 1902, vol. 13, pp. 49−52.
Kabanikhin S.I. Inverse and Ill-Posed Problems. Theory and Applications. Germany: De Gruyter, 2011, 459 p.
Gödel K. Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. Monatshefte für Mathematik und Physik. 1931, vol. 38, no. 1, рр. 173-198. (in Germany).
Giarratano J.C., Riley G.D. Expert Systems : Principles and Programming. India: Cengage Learning, 2004, 856 p.
Jackson P. Introduction to Expert Systems. Boston : Addison-Wesley Longman Publishing Co., 1998, 542 p.
Dubrov Yu., Bolshakov V. and Volchuk V. Puti identifikatsii periodicheskikh mnogokriterial'nykh tekhnologiy [Road periodic identification of multi-criteria Technology]. Saarbrucken : Palmarium Academic Publishing, 2015, 236 p. (in Russian).
Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Identifikatsiya mnogoparametricheskikh, mnogokriterial'nykh tekhnologiy i puti ikh prakticheskoy realizatsii [Multiparameter identification, multicriteria techniques and ways of their implementation]. Metaloznavstvo ta termichna obrobka metaliv [Metall Science and Heat Treatment of Metals]. 2013, no. 4, pp. 5-11. (in Russian).
Wegst C.W. Stahlschlussel (Key to stell). Germany : Verlag Stahlschlussel Wegst GMBH, 2004, 720 p.
Bolshakov V.I. and Volchuk V.N. Materialovedcheskiye aspekty primeneniya veyvletno-mul'tifraktal'nogo podkhoda dlya otsenki struktury i svoystv malouglerodistoy stali [Material science aspects of the use of wavelet and multifractal approach for assessing of the structure and properties of low-carbon steel]. Metallofizika i noveyshiye tekhnologii [Metal Physics and Advanced Technologies]. 2011, vol. 33, no. 3, рp. 347−360. (in Russian).
Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Osnovy organizacii fraktal'nogo modelirovaniya [Fundamentals of fractal modeling]. Kyiv, Ukraine : PH “Akademperiodyka”, National Academy of Sciences of Ukraine, 2017, 170 p. (in Russian).
Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Materialovedcheskiye aspekty primeneniya chastichnoy kompensatsii nepolnoty formal'noy aksiomatiki [Material aspects of use of partial compensation of incompleteness of formal axiomatics]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2015, no. 5, pp. 10–16. (in Russian). Available at: http://visnyk.pgasa.dp.ua/article/view/47385/43497
Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Osobennosti primeneniya mul'tifraktal'nogo formalizma v materialovedenii [Features of the multifractal formalism in materials]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2008, no. 11, pp. 99-107. (in Russian). Available at: http://www.dopovidi.nas.gov.ua/2008-11/08-11-17.pdf
Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Razrabotka i issledovaniye metoda opredeleniya mekhanicheskikh svoystv metalla na osnove analiza fraktal'noy razmernosti yego mikrostruktury [Development and study of the method for determining the mechanical properties of a metal based on an analysis of the fractal dimension of its microstructure]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2004, no. 1, pp. 43–54. (in Russian).
Bolshakov V., Volchuk V. and Dubrov Yu. Fractals and properties of materials. Saarbrucken : Lambert Academic Publishing, 2016, 140 p.
Bolshakov V., Volchuk V. and Dubrov Yu. Puti primeneniya teorii fraktalov [Ways of applying the theory of fractals]. Saarbrucken : Palmarium Academic Publishing, 2016, 146 p. (in Russian).
Downloads
Published
Issue
Section
License
Authors that are published in this journal agree to follow the conditions:
Authors reserve the right to the authorship of his work and cede the right to the journal of first publication of this work on conditions of the license under the Creative Commons Attribution License, which allows others to distribute it freely with the obligatory reference to the author of the original work and the first publication of the work in this journal.