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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 9, Pages 30–35
(Mi ivm9276)
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This article is cited in 1 scientific paper (total in 1 paper)
To the question on continuous parameterization of spatial figures having an ellipse in a section
Yu. V. Klochkov, A. P. Nikolaev, T. A. Kiseleva Volgograd State Agrarian University,
26 Universitetskii Ave., Volgograd, 400002 Russia
Abstract:
In solving problems of mechanics of shells by numerical methods, inevitably arises a problem of continuous parameterization of calculated shell construction, requiring a calculation of necessary geometrical descriptions in an arbitrary point of examined shell. At that, position of a point must be completely defined, and the used geometrical parameters must have clear geometrical interpretation. We propose new variants of formulas, allowing to execute continuous parameterization of spatial figures having an ellipse in a section, and possessing clear geometric interpretation.
Keywords:
radius-vector, parameterization of spatial figures, ellipse.
Received: 15.04.2016
Citation:
Yu. V. Klochkov, A. P. Nikolaev, T. A. Kiseleva, “To the question on continuous parameterization of spatial figures having an ellipse in a section”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9, 30–35; Russian Math. (Iz. VUZ), 61:9 (2017), 27–31
Linking options:
https://www.mathnet.ru/eng/ivm9276 https://www.mathnet.ru/eng/ivm/y2017/i9/p30
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Abstract page: | 105 | Full-text PDF : | 26 | References: | 23 | First page: | 4 |
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