7 papers · 1 filter
On the commutation of variation and differentiation in nonholonomic Systems: A Chetaev-based approach
Federico Talamucci
The derivation of the equations of motion for nonholonomic systems remains a central issue in analytical mechanics, primarily due to the tension between the d'Alembert-Lagrange dif…
Transpositional rule for constrained systems
Federico Talamucci
This paper investigates the dynamics of nonholonomic mechanical systems, focusing on fundamental variational assumptions and the role of the transpositional rule. We analyze how th…
On the transpositional relation for nonholonomic systems
Federico Talamucci
This paper investigates the dynamics of nonholonomic mechanical systems, with a particular focus on the fundamental variational assumptions and the role of the transpositional rule…
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…
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…