Ribbon Çatısına göre Roller Coaster Yüzeyinin Karakterizasyonları

Year 2018, Volume: 7 Issue: 2, 390 - 398, 28.12.2018

Selçuk Baş

https://doi.org/10.17798/bitlisfen.432007

Abstract

Roller coasterlar trenin; virajların, halkaların, tepelerin ve vadilerin etrafında hareket ederken kinetik ve potansiyel enerjinin etkileşimi ile klasik enerji dönüşümlerine  örnektirler. Bir roller coaster pisti, uzayda hareket eden bir parçacığın uzayda verilen bir eğri üzerinde kalacaktır. Bu çalışmada,  3-boyutlı Öklid uzayında Ribbon çatısıyla ℜ-Roller Coaster yüzeyi araştırıldı. Dahası, ℜ-Roller Coaster yüzeyinin 1. ve 2. Temel formun katsayısı, ortalama eğriliği, Gauss eğrilikleri incelemiştir. Ayrıca, ℜ-Roller Coaster yüzeylerinin paralel yüzeyleri elde edildi. Son olarak , bir ℜ -Roller Coaster yüzeyinin elastik olmayan akışına karşılık gelen denklemler bulundu.

Keywords

Coaster yüzeyi, Ribbon çatı, Dairesel yüzey

Characterizations of Roller Coaster Surface According to Ribbon Frame

Abstract

Roller coasters
are usual examples of energy transformation, with an interaction of kinetic and
potential energy as the train moves surrounding the curves, loops, hills and
valleys of the path.. A roller coaster path so that a particle moving in space
will stay on a given curve in space. The roller coaster surface is a special
type of spherical surfaces. In this study, 
ℜ-Roller
Coaster surfaces with Ribbon frame is investigate
in Euclidean 3-space. Moreover, the Gaussian curvature, mean curvature, first
and second fundamental form of coefficients of Roller Coaster surfaces of are
examined. Then, the parallel surfaces of ℜ-Roller Coaster surfaces of are obtained. Finally, we
derive the related equations for
the inextensible flow of a ℜ -Roller Coaster surface.

Keywords

Roller Coaster surfaces, Ribbon frame, Circular surface

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