Vector method applied to multi body coupled rotations

Abstract

Vector method applied to multi body coupled rotations on the basis of mass moment vectors. Vector expressions for the linear and angular momentum derivatives of multi body’s coupled rotations are derived. Mass moment vectors and vector rotators coupled for no intersecting axes and corresponding pole. Angular velocity of a vector rotator different from the body velocities is proofed. Five theorems are defined. New theoretical background for new software tools for application in engineering is presented.