Ribbon Çatısına göre Roller Coaster Yüzeyinin Karakterizasyonları

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

References

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