It is well known that the Lagrange–d’Alembert and Hamilton principles, which are widely used to derive the laws of motion for nonholonomic systems, are not equivalent and that, in some cases, the equations of motion derived from them differ. The aim of this paper is to illustrate these differences by comparing the solutions of the dynamic equations derived from these principles in a simple nonholonomic system.
Tiero, A. (2024). The principles of Lagrange–d’Alembert and Hamilton applied to a rigid bar subject to nonholonomic constraints. ACTA MECHANICA [10.1007/s00707-024-04081-z].
The principles of Lagrange–d’Alembert and Hamilton applied to a rigid bar subject to nonholonomic constraints
Alessandro Tiero
2024-11-06
Abstract
It is well known that the Lagrange–d’Alembert and Hamilton principles, which are widely used to derive the laws of motion for nonholonomic systems, are not equivalent and that, in some cases, the equations of motion derived from them differ. The aim of this paper is to illustrate these differences by comparing the solutions of the dynamic equations derived from these principles in a simple nonholonomic system.File in questo prodotto:
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