Results 1 to 10 of about 26,600 (162)

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

Frenet frames and invariants of timelike ruled surfaces

Ain Shams Engineering Journal, 2013
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
doaj   +3 more sources

A computational study of ruled surfaces

Journal of Symbolic Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laurent Buse, André Galligo
exaly   +4 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

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

The Intersection of Two Ruled Surfaces Corresponding to Spherical Indicatrix Curves on the Unit Dual Sphere

Cumhuriyet Science Journal, 2023
In this study, we first investigate the intersection of two different ruled surfaces in R^3 for two different tangential spherical indicatrix curves on DS^2 using the E. Study mapping.
Yunus Öztemir, Mustafa Çalışkan
doaj   +1 more source

Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

Abstract and Applied Analysis, 2021
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
doaj   +1 more source

Ruled algebraic surfaces with a main frame from three superellipses

Structural Mechanics of Engineering Constructions and Buildings, 2022
An opportunity of conversion of algebraic surfaces with a main frame from three superellipses of general type into ruled surfaces of several views is shown. It is necessary to take one, two, or all of three superellipses in the form of a rhombus, i.e. it
Iraida A. Mamieva
doaj   +1 more source

Curves on ruled surfaces under infinitesimal bending [PDF]

Bulletin of Natural Sciences Research, 2021
Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid are considered and appropriate ...
Najdanović Marija, Maksimović Miroslav, Velimirović Ljubica   +2 more
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