Results 1 to 10 of about 594 (217)

Characterization of rational ruled surfaces

Journal of Symbolic Computation, 2014
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form.
Li-Yong Shen, Sonia Pérez-Díaz
exaly   +5 more sources

Computerized Generation and Surface Deviation Correction of Ruled Surface for Face Gear Drives

Applied Sciences
In order to solve the problems of low efficiency and complex cutting tools in conventional face gear machining, this paper presents a machining method of ruled surface face gears with conical cutters and proposes a new pinion to correct deviation and its
Xianlong Peng, Yikai Wu
doaj   +3 more sources

NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3

Journal of Mathematics, 2021
In this study, original definitions of NC−Smarandache ruled surface and NW−Smarandache ruled surface according to the alternative moving frame are introduced in E3.
Soukaina Ouarab
doaj   +1 more source

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   +1 more source

Characterizations of Unit Darboux Ruled Surface with Quaternions

Journal of New Theory, 2023
This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains
Abdussamet Çalışkan
doaj   +1 more source

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

Abstract and Applied Analysis, 2022
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   +1 more source

Smarandache Ruled Surfaces according to Darboux Frame in E3

Journal of Mathematics, 2021
This paper presents a new approach of constructing special ruled surfaces and aims to study their developability and minimalist conditions. Our concept opens opportunities for application in engineering, surface modeling, and architectural design.
Soukaina Ouarab
doaj   +1 more source

Conchoid surfaces of rational ruled surfaces [PDF]

Computer Aided Geometric Design, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Peternell, David Gruber, Juana Sendra   +2 more
openaire   +2 more sources

Surface Pencil Pair Interpolating Bertrand Pair as Common Asymptotic Curves in Euclidean 3-Space

Mathematics, 2023
In this paper, we obtain the necessary and sufficient conditions of a surface pencil pair interpolating a Bertrand pair as common asymptotic curves in Euclidean 3-space E3.
Fatemah Mofarreh, Rashad A. Abdel-Baky
doaj   +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