2 citations · 4 across the 15 of their papers we have counts for
15 papers
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…
Equations of motion for general nonholonomic systems from the d'Alembert principle via an algebraic method
Federico Talamucci
The aim of this study is to present an alternative way to deduce the equations of motion of general (i.e., also nonlinear) nonholonomic constrained systems starting from the d'Alem…
Is the Cetaev condition inferable?
Federico Talamucci
In the context of holonomic constrained systems the identification of virtual displacements is clear and consolidated: this gives the possibility, once the class of displacements h…
A simple approach to nonlinear nonholonomic systems with several examples
Federico Talamucci
The main theme of the article is the study of discrete systems of material points subjected to constraints not only of a geometric type (holonomic constraints) but also of a kinema…
Cetaev condition for nonlinear nonholonomic systems and homogeneous constraints
Federico Talamucci
We first present a way to formulate the equations of motion for a nonholonomic system with nonlinear constraints with respect to the velocities. The formulation is based on the Cet…
The energy equation for nonholonomic systems with nonlinear kinematic restrictions: a special category of constraints
Federico Talamucci
The main topic of this work concerns the formulation of the equations of motion and the consequent energy balance that they imply for this type of systems, In particular, the analy…
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…
Synchronization of two couple pendula in absence of escapement
F Talamucci
A model of two oscillating pendula placed on a mobile support is studied. Once an overall scheme of equations, under general assumptions, is formulated via the Lagrangian equations…