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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 53–64 (Mi ivm8594)  
This article is cited in 1 scientific paper (total in 1 paper)

Formation of nonsmoothness lines in optimization of screw pairs in screw pumps

M. I. Kovalyovaa, V. A. Kostinb, Yu. I. Sapronovb

a Military Aviation Engineering University (Voronezh), Voronezh, Russia
b Chair of Mathematical Modeling, Voronezh State University, Voronezh, Russia
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Abstract: Computer modeling of screw pairs in screw pumps reveals the formation of nonsmoothness lines on the screw surface (with the growth of the height of the helical tooth) conjugate to the smooth helical surface. The mathematical explanation of the appearance of such lines represents considerable interest for the theory and practice of pumps manufacturing. In this paper we show that one can explain the mentioned phenomenon by studying a wider problem, namely, the bifurcation of regressive points on a plane contour conjugate to the smooth one.
Keywords: screw pumps, screw pairs, conjugate contour, points of nonsmoothness, bifurcation of regressive points, computer identification of singularities.
Received: 22.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 4, Pages 44–53
DOI: https://doi.org/10.3103/S1066369X12040068
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: M. I. Kovalyova, V. A. Kostin, Yu. I. Sapronov, “Formation of nonsmoothness lines in optimization of screw pairs in screw pumps”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 53–64; Russian Math. (Iz. VUZ), 56:4 (2012), 44–53
Citation in format AMSBIB
\Bibitem{KovKosSap12}
\by M.~I.~Kovalyova, V.~A.~Kostin, Yu.~I.~Sapronov
\paper Formation of nonsmoothness lines in optimization of screw pairs in screw pumps
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 4
\pages 53--64
\mathnet{http://mi.mathnet.ru/ivm8594}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076541}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 4
\pages 44--53
\crossref{https://doi.org/10.3103/S1066369X12040068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862732824}
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  • https://www.mathnet.ru/eng/ivm/y2012/i4/p53
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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