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

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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.

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Authors and Affiliations

  1. Military Aviation Engineering University (Voronezh), ul. Starykh Bol’shevikov 54a, Voronezh, 394064, Russia

    M. I. Kovaleva

  2. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

    V. A. Kostin & Yu. I. Sapronov

Authors
  1. M. I. Kovaleva
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  2. V. A. Kostin
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  3. Yu. I. Sapronov
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Corresponding author

Correspondence to M. I. Kovaleva.

Additional information

Original Russian Text © M.I. Kovaleva, V.A. Kostin, and Yu.I. Sapronov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 4, pp. 53–64.

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Kovaleva, M.I., Kostin, V.A. & Sapronov, Y.I. Formation of nonsmoothness lines in optimization of screw pairs in screw pumps. Russ Math. 56, 44–53 (2012). https://doi.org/10.3103/S1066369X12040068

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  • DOI: https://doi.org/10.3103/S1066369X12040068

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