A direct theory of affine rods is developed from first principles. To concentrate on the central aspects of the model, we use an axiomatic format and tools from Lie group theory. To facilitate comparisons with other theories, we propose an identification procedure to derive the constitutive relation
A direct theory of affine bodies
โ Scribed by P. Nardinocchi; L. Teresi; A. Tiero
- Book ID
- 108332215
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 145 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0020-7225
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๐ SIMILAR VOLUMES
We prove two results about the continuous maps F, from the space of d-dimensional convex bodies K of R g into the space of non-empty compact sets of R ~, which are subadditive and invariant by affine permutations. The first theorem gives properties of the images F(K). In the second one, we determine
Direct products of affine partial linear spaces are defined and studied. Analysis of derivable and subplane covered nets as direct product nets provides characterizations of these nets. Translation planes admitting direct product nets and construction of maximal partial spreads are also considered.
## In this paper the structure theory of the state space is developed for a class of state-afine systems. On the basis of the properties of reachability and indistinguishability with respect to a given state, the state space decomposition is operated and the input-output behaviour is characterized