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Journal of Computational and Engineering Mathematics, 2015, Volume 2, Issue 1, Pages 11–20
DOI: https://doi.org/10.14529/jcem150102
(Mi jcem10)
 

This article is cited in 2 scientific papers (total in 2 papers)

Engineering Mathematics

Numerical methods for solving «rigid systems» applied for the problem of the dynamics of heavy-loaded bearings

Yu. V. Rozhdestvensky, E. A. Zadorozhnaya, R. O. Chuchelov, D. I. Raskatov

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (147 kB) Citations (2)
References:
Abstract: The problem of the dynamics of fluid friction bearings was formulated in the article. For «rigid system» the classical methods of integration of the system of differential equation of movement proved to be unsuitable because of the need to reduce the next step of integration in some parts of the journal center trajectory to very small values. We have described the main approaches that used for solving the problem. We also presented the main methods that have proven themselves in the solution of problems of the dynamics of rapidly rotating rotors and autonomous bearings of heat engines. Numerical methods for «rigid system» and algorithms for solving the problems of the dynamics were given. With the help of numerical experiments coefficients of the equations was performed. The step for calculating adjusted to the minimum value of the discrepancy.
Keywords: heavy-loaded bearings, correction, the problem of dynamics, «rigid system», methods of prediction, order of convergence.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57714X0102
This work was supported by a grant of the Ministry of Education and Science of the Russian Federation for applied research, code 2014-14-579-0109. The unique identifier for Applied Scientific Research (project) is RFMEFI57714X0102. Agreement no. 14.577.21.0102.
Received: 24.02.2015
Bibliographic databases:
Document Type: Article
MSC: 90X08
Language: English
Citation: Yu. V. Rozhdestvensky, E. A. Zadorozhnaya, R. O. Chuchelov, D. I. Raskatov, “Numerical methods for solving «rigid systems» applied for the problem of the dynamics of heavy-loaded bearings”, J. Comp. Eng. Math., 2:1 (2015), 11–20
Citation in format AMSBIB
\Bibitem{RozZadChu15}
\by Yu.~V.~Rozhdestvensky, E.~A.~Zadorozhnaya, R.~O.~Chuchelov, D.~I.~Raskatov
\paper Numerical methods for solving «rigid systems» applied for the problem of the dynamics of heavy-loaded bearings
\jour J. Comp. Eng. Math.
\yr 2015
\vol 2
\issue 1
\pages 11--20
\mathnet{http://mi.mathnet.ru/jcem10}
\crossref{https://doi.org/10.14529/jcem150102}
\elib{https://elibrary.ru/item.asp?id=23395663}
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  • https://www.mathnet.ru/eng/jcem/v2/i1/p11
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Journal of Computational and Engineering Mathematics
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    Abstract page:161
    Full-text PDF :100
    References:27
     
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