Email this article Formulas for calculation of geometric characteristics of plane figures, restricted by cubic spline curves
- Authors: Kalyadin V.I.1
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Affiliations:
- Moscow State University of Mechanical Engineering (MAMI)
- Issue: Vol 9, No 4-4 (2015)
- Pages: 53-58
- Section: Articles
- URL: https://journals.rcsi.science/2074-0530/article/view/67032
- DOI: https://doi.org/10.17816/2074-0530-67032
- ID: 67032
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Abstract
The article describes calculation of geometric characteristics of plane figures, which outlines are described by cubic spline curves. The authors obtained the exact formula to calculate area and static moments. The formulas allow to define the position of the center of gravity of figures and volumesof bodies formed by rotation of shapes around the axis.
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##article.viewOnOriginalSite##About the authors
V. I. Kalyadin
Moscow State University of Mechanical Engineering (MAMI)
Email: vi_kadin@mail.ru
+7(495)-223-05-23 (1482)
References
- Завьялов Ю.С., Леус В.А., Скороспелов В.А. Сплайны в инженерной геометрии. М.: Машиностроение, 1982, 304 с.
- Gordon W., Riesenfeld R. B-spline. Curves and Surfaces. In Computer - Aided Geometric De- sign, New-York, Academic Press, 1974. P. 95-126.
- Microsoft Document Explorer, GDI+, DrawClosedCurve-metod, Microsoft Corp. 2008.
- Калядин В.И. Численные методы: решение задач в Excel на VBA. Часть 1. М.: Университет машиностроения, 2013. 142 с.
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