Rolling of a single-cavity hyperboloid of rotation on a helicoid on which it bends

The bending of a single-cavity hyperboloid with rotation while maintaining the rectilinear generator is considered. The resulting bending surfaces are a plural of open skew helicoids, including partial cases of oblique closed and open ordinary helicoid s. The parametric equations for the continuous...

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Permalink: http://skupnikatalog.nsk.hr/Record/nsk.NSK01001136833/Details
Matična publikacija: Engineering review (Online)
41 (2021), 3 ; str. 106-114
Glavni autori: Kresan, Tetiana (Author), Pylypaka, Serhii, Ruzhylo, Zynovii, Rogovskii, Ivan, Trokhaniak, Oleksandra
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.30765/er.1563
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080 1 |a 51  |2 2011 
100 1 |a Kresan, Tetiana  |4 aut  |9 HR-ZaNSK 
245 1 0 |a Rolling of a single-cavity hyperboloid of rotation on a helicoid on which it bends  |h [Elektronička građa] /  |c Tetiana Kresan, Serhii Pylypaka, Zynovii Ruzhylo, Ivan Rogovskii, Oleksandra Trokhaniak. 
300 |b Ilustr. 
504 |a Bibliografija: 14 jed. 
504 |a Abstract. 
520 |a The bending of a single-cavity hyperboloid with rotation while maintaining the rectilinear generator is considered. The resulting bending surfaces are a plural of open skew helicoids, including partial cases of oblique closed and open ordinary helicoid s. The parametric equations for the continuous bending of these surfaces are established by changing the angle between the straight line and its axis. The possibility of pure unrolling of a hyperboloid along a helicoid from the set of its bends with linear contact along a common rectilinear generator of both surfaces is shown. Using the obtained equations, the surfaces are constructed and the images of hyperboloid and helicoid with the common rectilinear generator of their contact are shown. 
653 0 |a Hiperboloid  |a Helikoid  |a Savijanje  |a Kotrljanje 
700 1 |a Pylypaka, Serhii  |4 aut  |9 HR-ZaNSK 
700 1 |a Ruzhylo, Zynovii  |4 aut  |9 HR-ZaNSK 
700 1 |a Rogovskii, Ivan  |4 aut  |9 HR-ZaNSK 
700 1 |a Trokhaniak, Oleksandra  |4 aut  |9 HR-ZaNSK 
773 0 |t Engineering review (Online)  |x 1849-0433  |g 41 (2021), 3 ; str. 106-114  |w nsk.(HR-ZaNSK)000848891 
981 |b Be2021  |b B03/21 
998 |b tino2301 
856 4 0 |u https://doi.org/10.30765/er.1563 
856 4 0 |u https://hrcak.srce.hr/265976  |y Hrčak 
856 4 1 |y Digitalna.nsk.hr