Inertia forces in robots and manipulators

Abstract

A method is described for the simulation of the dynamic behavior (inertia forces) of a solid performing a tridimensional motion, wherein a discrete system of mass points rigidly attached to the solid is used. Three postulates are necessary and sufficient for dynamical equivalence: (1) the mass of the solid and the total of the concentrated masses should be equal, (2) the center of gravity of the solid and of the discrete system should coincide, and (3) the inertial ellipsoid of the solid and of the discrete system should be equal.