For a vibrating mill with spatial vibratory motions used for milling t
he metallic powders, the mechanical model may be considered as a solid
rigid having geometrical and mechanical symmetry. In order to determi
ne the scalar differential equations describing the spatial motion of
the tank of the mill, the fundamental theorems of the dynamics are use
d. The obtained system of differential equations (a very refined and c
omplex one) is non-linear, non-homogeneous and transcendent. The integ
ration of the differential equations is realised with ACSL(Advanced Co
ntinuous Simulation Language).