KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 1

Ruled surfaces obtained by bending of curves

Uğur GÖZÜTOK
Hüsnü Anıl ÇOBAN
Yasemin SAĞIROĞLU
Sayfa
300–306
Yayın Tarihi
2020-01-20
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We consider a first-order infinitesimal bending of a curve in R3 to obtain a ruled surface.
📊
Temel Bulgular & Veri:This paper investigates this kind of ruled surfaces and their properties.
💡
Sonuç & Katkı:Also, we obtain conditions for ruled surfaces obtained by bending to be developable.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ruled surfaces · bending of curves · developable surfaces

Abstract

We consider a first-order infinitesimal bending of a curve in R3 to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

🔖

Bu Makaleye Atıf Yap

GÖZÜTOK, U., ÇOBAN, H. A., SAĞIROĞLU, Y. (2020). Ruled surfaces obtained by bending of curves. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 1, 300–306. https://ajindex.com/articles/198139

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some special types of developable ruled surface. Hacettepe Journal of Mathematics and Statistics 2010; 39 (3): 319-325
  2. Ali AT, Aziz HSA, Sorour AH. Ruled surfaces generated by some special curves in Euclidean 3-space. Journal of the Egyptian Mathematical Society 2013; 21 (3): 285-294
  3. Glaeser G, Gruber F. Developable surfaces in contemporary architecture. Journal of Mathematics and the Arts 2007; 1 (1): 59-71
  4. Izumiya S, Takeuchi N. Special curves and ruled surfaces. Contributions to Algebra and Geometry 2003; 44 (1): 203-212
  5. Izumiya S, Takeuchi N. New special curves and developable surfaces. Turkish Journal of Mathematics 2004; 28: 153-163
  6. Liu Y, Pottmann H, Wallner J, Yang YL, Wang W. Geometric modeling with conical meshes and developable surfaces. ACM Transactions on Graphics 2006; 25 (3): 681-689
  7. Najdanović M, Velimirović LS. Second order infinitesimal bending of curves. Filomat 2017; 31 (13): 4127-4137
  8. Najdanovic M, Velimireovic LS. Infinitesimal bending of curves on the ruled surfaces. University Thought, Publication in Natural Sciences 2018; 8 (1); 46-51
  9. O’Neill B. Elementary Differential Geometry. Revised Second Edition. New York, NY, USA: Elsevier, 2006
  10. Velimirović LS. Infinitesimal bending of curves. Matematichki Bilten 2001; 25: 25-36
  11. Velimirović LS, Ćirić MS. On the total mean curvature of piecewise smooth surfaces under infinitesimal bending. Applied Mathematics Letters 2011; 24: 1515-1519
  12. Velimirović LS, Ćirić MS, Cvetkovic MD. Change of the Willmore energy under infinitesimal bending of membranes. Computers and Mathematics with Applications 2010; 59 (12): 3679-3686
  13. Velimirović LS, Ćirić MS, Velimirović NM. On the Willmore energy of shells under infinitesimal deformations. Computers and Mathematics with Applications 2011; 61 (11): 3181-3190.