Acceleration and the differential geometry of screws

ABSTRACT In this dissertation, by using the concept of "differential screw" which characterizes the difference between two consecutive screws, a formula for acceleration at all points on moving dual unit sphere (D.U.S.) is derived with respect to the reference system attached to the fixed axode. Then some special points on moving D.U.S.; acceleration centers, inflection points and Bresse complex are studied. Keywords : kinematics, dual vectors, dual spherical motion, Euler angles, differential screw, acceleration, acceleration center, inflection points, Bresse complex