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To the question on continuous parameterization of spatial figures having an ellipse in a section

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Abstract

When solving a problem of mechanics of shells by numerical methods, inevitably arises a problem of continuous parameterization of shell construction in question. This problem requires a calculation of necessary geometrical descriptions in an arbitrary point of examined shell. At that, position of the point must be completely defined, and geometrical parameters used must have clear geometrical interpretation. We propose new variations of formulas which allow to obtain continuous parameterizations of spatial figures having an ellipse in a section, moreover, these formulas possess clear geometric interpretation.

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Authors and Affiliations

  1. Volgograd State Agrarian University, Universitetskii pr. 26, Volgograd, 400002, Russia

    Yu. V. Klochkov, A. P. Nikolaev & T. A. Kiselyova

Authors
  1. Yu. V. Klochkov
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  2. A. P. Nikolaev
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  3. T. A. Kiselyova
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Corresponding author

Correspondence to Yu. V. Klochkov.

Additional information

Original Russian Text © Yu.V. Klochkov, A.P. Nikolaev, T.A. Kiselyova, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 9, pp. 30–35.

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Klochkov, Y.V., Nikolaev, A.P. & Kiselyova, T.A. To the question on continuous parameterization of spatial figures having an ellipse in a section. Russ Math. 61, 27–31 (2017). https://doi.org/10.3103/S1066369X17090031

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  • DOI: https://doi.org/10.3103/S1066369X17090031

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