Results 261 to 270 of about 10,016,701 (311)

Non-lightlike constant angle ruled surfaces in Minkowski 3-space

, 2020
In this paper, non-lightlike ruled surfaces of constant slope in Minkowski 3-space with a non-lightlike base curve c ( s ) = ∫ α t + β n + γ b d s , where t , n , b are tangent, principal normal and binormal vectors of an arbitrary timelike curve Γ ( s )
Ahmad T. Ali
semanticscholar   +1 more source

Bonnet Ruled Surfaces

Acta Mathematica Sinica, English Series, 2005
Bonnet surfaces are those immersions into Euclidean 3-space whose congruence class is not uniquely determined by their metric and mean curvature. As already proven by Bonnet, all Bonnet surfaces belong to one of the following classes: constant mean curvature surfaces, Bonnet families and Bonnet pairs.
openaire   +2 more sources

Ruled surfaces obtained by bending of curves

, 2020
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.
Uğur Gözütok, H. A. Çoban, Yasemin Sağıroğlu   +2 more
semanticscholar   +1 more source

Ruled surfaces constructed by quaternions

, 2020
In this paper, we define a quaternionic operator whose scalar part is a real parameter and vector part is a curve in three dimensional real vector space R 3 .
S. Aslan, M. Bekar, Y. Yaylı
semanticscholar   +1 more source

Gaussian curvatures of parallel ruled surfaces

, 2020
In this paper, the Gaussian curvatures of closed parallel ruled surfaces are calculated. We consider parallel ruled surfaces from indicatrix curves associated to Frenet vectors of the curve created on the unit dual sphere.
S. Şenyurt, Sümeyye Gür Mazlum, L. Grilli   +2 more
semanticscholar   +1 more source

Continuity-preserving tool path generation for minimizing machining errors in five-axis CNC flank milling of ruled surfaces

, 2020
Five-axis CNC flank machining has been commonly used in the industry for shaping complex geometries. Geometrical errors typically occur in five-axis flank finishing of non-developable surfaces using a cylindrical cutter.
C. Chu, Hsiang-Yun Chen, Chunlan Chang
semanticscholar   +1 more source

Magnetic flux ruled surfaces

Mathematical Methods in the Applied Sciences, 2022
There is a unique curve called striction curve that is not present on a surface except a ruled surface. This curve is defined as the shortest distance with the help of a common perpendicular line between two adjacent rulings. In this work, we present Lorentz forces and magnetic striction curves produced by the geodesic Frenet frame on the striction ...
Ergin Bayram, Fatma Güler, Emin Kasap
openaire   +1 more source

General Principles for Formation of Ruled Surfaces. Part 2

Geometry & Graphics, 2019
In this paper the consideration related to formation of ruled surfaces with a single method for their set up that was proposed in the first part of the work, is continued. In the first part of the work were considered more than twenty variants for set up
Николай Сальков, N. Sal'kov   +1 more
semanticscholar   +1 more source

Kinematic Generation of Ruled Surfaces

Advances in Computational Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sprott, Kenneth, Ravani, Bahram
openaire   +2 more sources

General Principles for Formation of Ruled Surfaces. Part 1

Geometry & Graphics, 2019
Probably, it is impossible to find such industry where the ruled surfaces would not be used. They are used in agriculture, in the heavy and light industries, in construction, in aircraft manufacturing, and in military art.
Николай Сальков, N. Sal'kov   +1 more
semanticscholar   +1 more source