Dynamical Analysis of Joint Mechanism with Pin Joints and Visco-Elastic Connections
Eine äquiaffine Charakterisierung der Cardan-Bewegung mittels der höheren Wendepole.
Envelope construction of two-parameteric system of curves in the technological practice
A two-parametric system of close planar curves is defined in the introduction of the presented article. Next a theorem stating the existence of the envelope is presented and proved. A mathematical model of the collecting mechanism of the Horal forage trailer is developed and used for practical demonstrations. The collecting mechanism is a double joint system composed of three rods. An equation describing the trajectory of a random point of the working rod is derived using Maple. The trajectories...
Erratum: Geometry of the Rolling Ellipsoid
Extension des relations de Frenet aux courbes à points irréguliers
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 Motion of Robot manipulators.
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....
Kinematic geometry of triangles and the study of the three-body problem.
Kinematics of relative motion of test particles in general relativity
Kurven, welche mit den Geschwindigkeiten der -dimensionalen Euklidischen Bewegung des starren Systems verbunden sind.
Lineare invariante Gebilde in äquiformen Bewegungen der Räume endlicher Dimension
Nonlinear control of a planar multiaxis servohydraulic test facility using exact linearization techniques
On asymptotic motions of robot-manipulator in homogeneous space
In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group of motions. Some kinematic subspaces of the Lie algebra (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described.
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike rulings.
On some cohomological properties of the Lie algebra of Euclidean motions
The external derivative on differential manifolds inspires graded operators on complexes of spaces , , stated by dual to a Lie algebra . Cohomological properties of these operators are studied in the case of the Lie algebra of the Lie group of Euclidean motions.
On the Union of Jordan Regions and Collision-Free Translational Motion Amidst Polygonal Obstacles.
On The Use Of Structural Formulae Of Kinematic Chains