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]
Constitutive Characterizations of Non-Ideal Constraints in Classical Mechanics
P. MorandoPrimo
;
1993
Abstract
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.Pubblicazioni consigliate
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