Historical and critical review of the development of nonholonomic mechanics: the classical period

A. V. Borisov ; I. S. Mamaev ; I. A. Bizyaev

Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 385-411.

Résumé

In this historical review we describe in detail the main stages of the development of nonholonomic mechanics starting from the work of Earnshaw and Ferrers to the monograph of Yu.I. Neimark and N.A. Fufaev. In the appendix to this review we discuss the d’Alembert–Lagrange principle in nonholonomic mechanics and permutation relations.

Détail

Keywords: nonholonomic mechanics, nonholonomic constraint, d’Alembert–Lagrange principle
Mots-clés : permutation relations.

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