In noncontact machining, such as welding and spraying, running efficiency and smoothness
have been a bottleneck problem in trajectory optimisation of industrial robots. When the …

This paper aims at exploiting the unique characteristics of instantaneous invariants and pole
locations in synthesizing motion generation four bar (4R) planar mechanisms with higher …

In surface modeling, constructing a new surface from a given regular surface is important.
Focal surfaces are used to analyze the quality of a given surface. In this study, the …

In this paper, our aim is to research the change in the magnetic field using the curvature
theory of ruled surfaces. For this, we examine magnetic curves of the curve whose existence …

The trajectory of a moving particle in space forms a curve. By moving a line along a curve, a
surface called ruled surface is obtained. The striction point on a ruled surface is the foot of …

The trajectory of a moving particle in space forms a curve. By moving a line along a curve, a
surface called ruled surface is obtained. The striction point on a ruled surface is the foot of …

The parallel curves are especially used in numerically controlled machining where a biaxial
machine defines the shape of the cut made with a round cutting tool. In this study, trajectory …

A parallel or offset curve is defined as a curve whose points are a fixed distance from a given
curve. These curves are not parallel transport. Often, it has a more complex mathematical …