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: