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Affine n-dimensional Statics, affine screws and Grassmann algebra.
- Source :
-
Mechanics Research Communications . Dec2018, Vol. 94, p74-79. 6p. - Publication Year :
- 2018
-
Abstract
- Highlights • The theory of screws is undergoing a revival in machines and robotics. • The theory is significantly generalized and extended in various directions. • Use is made of exterior algebra of multi-vectors. • A formulation in terms of tensor densities is also provided. Abstract The theory of screws is generalized to yield a formulation of Statics in higher-dimensional spaces in the absence of any distinguished metric structure. This level of generality necessitates the use of the tools of the exterior algebra of multi-vectors. The minimal structure retained serves to bring into relief the essential difference between screws and counter-screws as well as a weak version of the notion of rigid-body velocity field. An essential feature of the theory is the introduction of higher-order forces and displacements, whose relevance in the context of structured media can be determined in specific potential applications. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GRASSMANN manifolds
*SCREWS
*AUSDEHNUNGSLEHRE
*ROBOTICS
*RIGID body mechanics
Subjects
Details
- Language :
- English
- ISSN :
- 00936413
- Volume :
- 94
- Database :
- Academic Search Index
- Journal :
- Mechanics Research Communications
- Publication Type :
- Academic Journal
- Accession number :
- 133439616
- Full Text :
- https://doi.org/10.1016/j.mechrescom.2018.09.007