Cylindrical Surface

cylindrical surface

[sə′lin·drə·kəl ′sər·fəs]
(mathematics)
A surface consisting of each of the straight lines which are parallel to a given straight line and pass through a given curve. Also known as cylinder.

Cylindrical Surface

 

(or cylinder), a surface traced by a line moving parallel to a given fixed line and intersecting a given curve. The fixed line is called the generatrix, and the curve is called the directrix.

If the generatrix of a cylindrical surface is parallel to the z-axis of a rectangular coordinate system, the equation of the surface is F(x, y) = 0. If the generatrix of a cylindrical surface is parallel to the line ax + by + c = 0 in the xy-plane, the equation of the surface has the form z = f(ax + by). If a circle, ellipse, hyperbola, or parabola is the directrix, the resulting cylindrical surface is said to be circular, elliptical, hyperbolic, or parabolic, respectively.

References in periodicals archive ?
These areas under the action of shearing stresses can reach such values at which the coating peels off from the matrix of the cylindrical surface.
A similar model of the system is also described in [3] for heating the walls of a cylindrical surface to simulate the process of strips welding.
The unit provides vibrations of a certain amplitude and rotation of the tool, as well as its movement along the cylindrical surface being processed.
Simple design, easy and quick replacement of cutting fluids and testing samples, minimizing the volume of tested cutting fluids, easy to adjust the contact force, the minimum eccentricity of the cylindrical surface of the ring etc.
The horizontal and vertical grazing are depicted in Figures la and lb, respectively, The appropriate definitions of the horizontal and vertical grazing for nonautonomous system whose vector field and surfaces are defined by non-autonomous functions and the definition of horizontal grazing for non-autonomous system with cylindrical surface of discontinuity are given.
Matsuo [2] investigated the converging shock wave generated by instantaneous energy release over cylindrical surface. Wu et al.
Here, [SIGMA], the collapsing cylindrical surface, is a time-like three-surface and is the boundary of the two four-dimensional submanifolds [M.sup.-] (interior) and [M.sup.+] (exterior).
Using that angle, the shape of the cylindrical surface of cylinder should not turn into a barrel while compressing.
The electric field E at [r.sub.0], or on the parallel cylindrical surface in a three-dimensional view, is not continue in the radial direction, meaning charge may exist on the surface.
then the corresponding cylindrical surface is shown in Figure 4.
Furthermore, the mathematical equations for these parameters as functions of curvature for cylindrical surface are also reported in this paper.
First, we form a ray directed from the initial position of a photon on the rectangular surface to a second position on the cylindrical surface using the following linear coordinate transformation: