Year 2018, Volume 7, Issue 2, Pages 390 - 398 2018-12-28

Ribbon Çatısına göre Roller Coaster Yüzeyinin Karakterizasyonları
Characterizations of Roller Coaster Surface According to Ribbon Frame

Selçuk BAŞ [1]

36 133

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 -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.


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.

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Primary Language en
Subjects Science
Journal Section Araştırma Makalesi
Authors

Author: Selçuk BAŞ (Primary Author)
Institution: MUŞ ALPARSLAN ÜNİVERSİTESİ, MALAZGİRT MESLEK YÜKSEKOKULU
Country: Turkey


Bibtex @research article { bitlisfen432007, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2018}, volume = {7}, pages = {390 - 398}, doi = {10.17798/bitlisfen.432007}, title = {Characterizations of Roller Coaster Surface According to Ribbon Frame}, key = {cite}, author = {BAŞ, Selçuk} }
APA BAŞ, S . (2018). Characterizations of Roller Coaster Surface According to Ribbon Frame. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 7 (2), 390-398. DOI: 10.17798/bitlisfen.432007
MLA BAŞ, S . "Characterizations of Roller Coaster Surface According to Ribbon Frame". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 (2018): 390-398 <http://dergipark.org.tr/bitlisfen/issue/41777/432007>
Chicago BAŞ, S . "Characterizations of Roller Coaster Surface According to Ribbon Frame". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 (2018): 390-398
RIS TY - JOUR T1 - Characterizations of Roller Coaster Surface According to Ribbon Frame AU - Selçuk BAŞ Y1 - 2018 PY - 2018 N1 - doi: 10.17798/bitlisfen.432007 DO - 10.17798/bitlisfen.432007 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 390 EP - 398 VL - 7 IS - 2 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.432007 UR - https://doi.org/10.17798/bitlisfen.432007 Y2 - 2018 ER -
EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Characterizations of Roller Coaster Surface According to Ribbon Frame %A Selçuk BAŞ %T Characterizations of Roller Coaster Surface According to Ribbon Frame %D 2018 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 7 %N 2 %R doi: 10.17798/bitlisfen.432007 %U 10.17798/bitlisfen.432007
ISNAD BAŞ, Selçuk . "Characterizations of Roller Coaster Surface According to Ribbon Frame". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 / 2 (December 2018): 390-398. https://doi.org/10.17798/bitlisfen.432007