Kinematic differential geometry of a rigid body in spatial motion using dual vector calculus: Part-II

Abstract

In the present paper, partially based on Part I of this paper, the special points; inflection points, acceleration centers and the points with the zero tangential components, which we call Bresse complexes, of the dual spherical (X) over cap motion (A) over cap(x) over cap are discussed and computer aided graphs of some of them shown in line space with A=[cos theta cos phi - sin theta -cos theta sin phi] [sin theta cos phi cos theta -sin theta sin theta] [sin phi 0 cos phi] where phi(t) = phi(t) + epsilon phi*(t), b(t), theta(t) + epsilon theta*(t) are the function of real parameter t (time). Meanwhile the graph of the unit dual sphere Sigma(3)(i=1) =1 in line space is given. (c) 2006 Elsevier Inc. All rights reserved.