Alcuni teoremi di cinematica dei sistemi rigidi
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids
We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid, over...
An Elementary Treatise on Quaternions [Book]
An example of a non-degenerate precession possessing two distinct pairs of axes
In the present paper we provide an interesting example of a non-degenerate precession possessing two distinct pairs , of axes of precession and figure. Thus the problem arises of the existence of classes of precessions possessing a unique axis of precession and a unique axis of figure. In the fourth section we show that the class of non-degenerate regular precessions enjoys this property.
An Operational Calculus for the Euclidean Motion Group with Applications in Robotics and Polymer Science.
Determinazione della classe delle precessioni generalizzate regolari con asse di precessione verticale del solido pesante asimmetrico
Erratum: Geometry of the Rolling Ellipsoid
Flächenläufige sphärische Drehvorgänge.
Geometrische Synthese der Bewegung bei gegebener Polkonfiguration
Geometrische Untersuchung über die Bewegung eines starren Körpers. Von Carl Neumann in Leipzig
Geometry of the rolling ellipsoid
We study rolling maps of the Euclidean ellipsoid, rolling upon its affine tangent space at a point. Driven by the geometry of rolling maps, we find a simple formula for the angular velocity of the rolling ellipsoid along any piecewise smooth curve in terms of the Gauss map. This result is then generalised to rolling any smooth hyper-surface. On the way, we derive a formula for the Gaussian curvature of an ellipsoid which has an elementary proof and has been previously known only for dimension two....
Proof of the transposition of finite rotations
Résolution vectorielle de l'équation fonctionnelle des applications équiprojectives de ...3 dans ...3 (champ de vitesse d'un solide).
Sul vettore caratteristico della rotazione nei moti rigidi
The dynamics of the drum mower blade
The drum mower blade is freely rotatable around the fastening pin. During the operation of the mower, the centrifugal force and the resistance of the mowing material act on it. The presented article studies the effect of these forces on the behavior of the blade, in particular its oscillation around the steady state, depending on the properties of the cut material.
The geometry of Newton's law and rigid systems
We start by formulating geometrically the Newton’s law for a classical free particle in terms of Riemannian geometry, as pattern for subsequent developments. For constrained systems we have intrinsic and extrinsic viewpoints, with respect to the environmental space. Multi–particle systems are modelled on -th products of the pattern model. We apply the above scheme to discrete rigid systems. We study the splitting of the tangent and cotangent environmental space into the three components of center...
Über die durch fortschreitenden harmonischen Umschwung erzeugbaren Hülltorsen
Untersuchungen über die Bewegung eines Systemes starrer Körper
Zum Integrationsproblem sphärischer Hüllkurvenpaare.