ON THE n-ORDER ACCELERATIONS DISTRIBUTION DURING RIGID MOTION (original) (raw)

The properties of the n-order accelerations distribution of a rigid body under general motion are systematically studied based on tensor algebra. A tensor represents an R -linear mapping of the R -linear space of free vectors V into V . It may be represented by a matrix only after a basis in V was selected. Preferring an orthonormal basis simplifies the calculus, but this particular choice may conceal some essential properties. This paper uses the notion of rigid basis associated to a spherical rigid motion in order to point out some properties of the n-order accelerations tensor.