5 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…
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…