In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism. Specifically, the algebra C(0, 6, 2), is used and it is shown how velocities, momenta and inertias can be represented by elements of this algebra. The equations of motion for a rigid body are simply derived by differentiating the momentum of the body. © 2008 Birkḧauser Verlag Basel/Switzerland. The final publication is available at Springer via http://dx.doi.org/10.1007/s00006-008-0144-
AbstractA systematic theoretical approach is presented, in an effort to provide a complete and illum...
© 2014, Springer-Verlag Wien. In this work, several classical ideas concerning the geometry of the i...
The presented text represents a necessary background for undergraduate students of one semester cour...
In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism. Specifically...
The Clifford algebra for the group of rigid body motions is described. Linear elements, that is poin...
International audienceThe book explores the use of Lie groups in the kinematics and dynamics of rigi...
In this dissertation I introduce a new notation for representing rigid-body dynamics, and use it to...
One of the advantages of dual algebra is the capability to express in elegant and compact notation ...
This paper demonstrates that techniques in flexible body dynamics can yield surprising results when ...
This updated second edition broadens the explanation of rotational kinematics and dynamics — the mos...
Encyclopedia of Applied and Computational Mathematics, SpringerFull entry in Encyclopedia of Applied...
In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Thr...
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives ...
This paper employs transmission matrices to investigate the motion of a rigid body about a fixed poi...
In this paper we tackle the problem of constrained rigid body dynamics in the Conformal and Projecti...
AbstractA systematic theoretical approach is presented, in an effort to provide a complete and illum...
© 2014, Springer-Verlag Wien. In this work, several classical ideas concerning the geometry of the i...
The presented text represents a necessary background for undergraduate students of one semester cour...
In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism. Specifically...
The Clifford algebra for the group of rigid body motions is described. Linear elements, that is poin...
International audienceThe book explores the use of Lie groups in the kinematics and dynamics of rigi...
In this dissertation I introduce a new notation for representing rigid-body dynamics, and use it to...
One of the advantages of dual algebra is the capability to express in elegant and compact notation ...
This paper demonstrates that techniques in flexible body dynamics can yield surprising results when ...
This updated second edition broadens the explanation of rotational kinematics and dynamics — the mos...
Encyclopedia of Applied and Computational Mathematics, SpringerFull entry in Encyclopedia of Applied...
In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Thr...
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives ...
This paper employs transmission matrices to investigate the motion of a rigid body about a fixed poi...
In this paper we tackle the problem of constrained rigid body dynamics in the Conformal and Projecti...
AbstractA systematic theoretical approach is presented, in an effort to provide a complete and illum...
© 2014, Springer-Verlag Wien. In this work, several classical ideas concerning the geometry of the i...
The presented text represents a necessary background for undergraduate students of one semester cour...