The theory of two-sided, positional constraints with friction acting on a material point in Classical Mechanics is presented in the geometrical context of the jet-extensions of an affine bundle. This context allows one to study both rigid and non-rigid constraints. We prove that the geometry of the system and the forces acting on the point determine in a natural way the direction of the friction reaction. This allows one to introduce a wide class of constitutive characterizations of constraints with friction, that includes the most common ones.
Constitutive Characterizations of Non-Ideal Constraints in Classical Mechanics / P. Morando, S. Pasquero. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - XXXIX:1(1993), pp. 111-122. [10.1007/BF02826133]
Titolo: | Constitutive Characterizations of Non-Ideal Constraints in Classical Mechanics | |
Autori: | MORANDO, PAOLA (Primo) | |
Parole Chiave: | Non-ideal constraints, constitutive characterization of constraints | |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica | |
Data di pubblicazione: | 1993 | |
Rivista: | ||
Tipologia: | Article (author) | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/BF02826133 | |
Appare nelle tipologie: | 01 - Articolo su periodico |