The New Screw Interpolations and Their Geometric Properties in the Dual Spherical Mechanisms

Abstract

In this paper, some new Sclerp interpolation motions are defined in the dual spherical mechanisms by developing the Sclerp interpolation given by Ravani (1994). These new methods are the sequential Sclerp interpolation, fast dual spherical interpolation, and the fast screw linear interpolation and they will lead to some advantages to Sclerp interpolation. Also, the lengths between the joints in the spherical dual mechanisms are designed by Sclerp interpolation and the Blaschke frame of this dual spherical interpolation curve is analyzed. At the end of the study, a numeric example is given.