Results 71 to 80 of about 247 (173)

Ruled Surfaces with Constant Slope Ruling According to Darboux Frame

Mathematical Sciences and Applications E-Notes, 2020
 The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases.
Ayşe YAVUZ, Fatma ATEŞ, Yusuf YAYLI
openaire   +3 more sources

Null Bertrand partner D-curves on spacelike surfaces

Frontiers in Physics
In this paper, by using the Darboux frame of null curves, we define null Bertrand partner D-curves and present the relations between curvatures of these curves in Minkowski 3-space E13. In addition, we obtain some special results. Finally, by considering
Tanju Kahraman
doaj   +1 more source

Inextensible Flows of Curves on Lightlike Surfaces

Mathematics, 2018
In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı, Dae Won Yoon   +1 more
doaj   +1 more source

On the curvatures of the ruled surfaces of b-lift curves

Cumhuriyet Science Journal, 2021
In this study, we defined a new curve which is called the B-Lift curve, also obtained the Frenet vectors of the B-Lift curve. The ruled surfaces have been produced by taking base curves B-Lift curves.
Anıl Altınkaya, Mustafa Çalışkan
doaj  

The Forward Kinematics of Rolling Contact of Spacelike Surfaces in Lorentzian 3-Space

Cumhuriyet Science Journal, 2018
In thispaper, we investigate the forward kinematics of spin-rolling motion withoutsliding of one spacelike surface on another spacelike surface along thespacelike contact trajectory curves of the surfaces in Lorentzian 3-space.
Mehmet Aydınalp, Hasan Hüseyin Uğurlu, Mustafa Kazaz   +2 more
doaj   +1 more source

Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space

Communications in Advanced Mathematical Sciences
This study introduces an alternative geometric framework for analyzing curves in three-dimensional Euclidean space. By constructing a set of alternative frame vectors and examining their corresponding derivative relations, a new perspective on the ...
Sıddıka Özkaldı Karakuş, Murat Turan, Uğur Oruç   +2 more
doaj   +1 more source

Construction of B-spline surface from cubic B-spline asymptotic quadrilateral

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017
Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary being
Hui WANG, Chun-Gang ZHU, Cai-Yun LI
doaj   +1 more source

Total torsion of three-dimensional lines of curvature. [PDF]

Geom Dedic, 2023
Raffaelli M.
europepmc   +1 more source

Involutive sweeping surfaces with Frenet frame in Euclidean 3-space. [PDF]

Heliyon, 2023
Köseoğlu G, Bilici M.
europepmc   +1 more source

Elastic Curves and Euler–Bernoulli Constrained Beams from the Perspective of Geometric Algebra

Mathematics
Elasticity is a well-established field within mathematical physics, yet new formulations can provide deeper insight and computational advantages. This study explores the geometry of two- and three-dimensional elastic curves using the formalism of ...
Dimiter Prodanov
doaj   +1 more source