7 papers
Energy balance for nonholonomic nonlinear systems
Federico Talamucci
We consider nonholonomic systems with nonlinear restrictions with respect to the velocities. The mathematical problem is formulated by means of the Voronec equations extended to th…
Rheonomic systems with nonlinear nonholonomic constraints: the Voronec equations
Federico Talamucci
One of the earliest formulations of dynamics of nonholonomic systems traces back to 1895 and it is due to Caplygin, who developed his analysis under the assumption that a certain n…
Nonlinear nonholonomic constraints
Federico Talamucci
One of the founders of the mechanics of nonoholonomic systems is Voronec who published in 1901 a significant generalization of the Caplygin's equations, by removing some restrictiv…
Calculation of apsidal precession via perturbation theory
L. Barbieri, F. Talamucci
The calculus of apsidal precession frequencies of the planets is developed by means of a perturbation thecnique. A model of concentric rings (ring model), suitable for improving ca…
Synchronization of a double pendulum with moving pivots: a study of the spectrum
Federico Talamucci
The model we consider consists in a double pendulum set, where the pivot points are free to shift along a horizontal line. Moreover, the two pendula are coupled by means of a sprin…
An extended Lagrangian formalism
Federico Talamucci
A simple formal procedure makes the main properties of the lagrangian binomial extendable to functions depending to any kind of order of the time--derivatives of the lagrangian coo…