The correspondence between finite screw systems and projective spaces

This paper discusses the correspondence between vector subspaces and screw systems. The goal is to differentiate finite screw systems from screw systems arising in instantaneous kinematics and statics. This paper shows that a finite screw system corresponds to the projective space associated with th...

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Bibliographic Details
Published inMechanism and machine theory Vol. 43; no. 1; pp. 50 - 56
Main Authors Huang, Chintien, Sugimoto, Koichi, Parkin, Ian
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 2008
New York, NY Elsevier
Subjects
Exact sciences and technology
Finite displacement
Finite screw system
Fundamental areas of phenomenology (including applications)
Physics
Projective space
Screw theory
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Vector subspace
Finite displacement
Finite screw system
Vector subspace
Screw theory
Projective space
Vector space
Kinematics
Large displacement
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Summary:This paper discusses the correspondence between vector subspaces and screw systems. The goal is to differentiate finite screw systems from screw systems arising in instantaneous kinematics and statics. This paper shows that a finite screw system corresponds to the projective space associated with the vector subspace spanned by the basis screws of the screw system. As a result, if finite displacement screws of a body constitute a screw system, the number of degrees of freedom of the motion of the body is one less than the order of the screw system.
ISSN:0094-114X
1873-3999
DOI:10.1016/j.mechmachtheory.2007.01.005