Results 1 to 10 of about 10,016,583 (199)

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3

Abstract and Applied Analysis, 2021
In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
doaj   +2 more sources

Analytical ruled surfaces and their complete classification

Structural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work - to give the possibility to expand mind of designers and architects projecting structures in the form of traditional and non-canonical ruled surfaces.
Sergey N. Krivoshapko
doaj   +2 more sources

Characterizations of Spatial Quaternionic Partner-Ruled Surfaces

Axioms
In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product.
Soley Ersoy, Kemal Eren, Abdussamet Çalışkan   +2 more
doaj   +2 more sources

Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]

PLoS ONE
Ruled surfaces are a class of surfaces generated by a moving straight line and are used in various design and modeling applications, including kinematics, robotics, and computer-aided geometric design.
Kemal Eren, Soley Ersoy, Mohammad Nazrul Islam Khan   +2 more
doaj   +2 more sources

Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame

Mathematics
In this paper, we present the evolutions of ruled surfaces generated by the principal normal, the principal normal’s derivative, and the Darboux vector fields along a space curve that are the elements of an alternative frame.
Ana Savić, Kemal Eren, Soley Ersoy, Vladimir Baltić   +3 more
doaj   +2 more sources

Fixed-axis spacelike ruled surfaces and their evolute offsets [PDF]

PLoS ONE
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +2 more sources

On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space

AIMS Mathematics, 2023
In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to the Frenet vectors of non-null space curves, are introduced with extra conditions that guarantee the existence of definite surface normals.
Yanlin Li, K. Eren, S. Ersoy
semanticscholar   +1 more source

Investigation of ruled surfaces and their singularities according to Blaschke frame in Euclidean $ 3 $-space

AIMS Mathematics, 2023
In this paper, we study the singularities on a non-developable ruled surface according to Blaschke's frame in the Euclidean 3-space. Additionally, we prove that singular points occur on this kind of ruled surface and use the singularity theory technique ...
Yanlin Li, A. H. Alkhaldi, Akram Ali, R. Abdel-Baky, M. Saad   +4 more
semanticscholar   +1 more source

The Invariants of Dual Parallel Equidistant Ruled Surfaces

Symmetry, 2023
In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces (DPERS) and we give the ...
Sümeyye Gür Mazlum, S. Şenyurt, L. Grilli   +2 more
semanticscholar   +1 more source

Geometry of the normal ruled surfaces

Structural Mechanics of Engineering Constructions and Buildings, 2021
The wide circle of the surfaces formed by the motion of the right line in the normal plain of some base directrix curve is regarded. The generate right line may rotate at some low at the normal plane of the base curve.
Vyacheslav N. Ivanov
doaj   +1 more source