Generalized Lagrange--d'Alembert principle
type: Item
instance of: scholarly article
zbMATH Open document ID: 1289.70021
DOI: 10.2298/PIM1205049D
publication date: 2013-10-18T00:00:00Z
Mathematics Subject Classification ID: 70G10
Mathematics Subject Classification ID: 70H45
zbMATH DE Number: 6217161
zbMATH Keywords: holonomic constraints
zbMATH Keywords: Euler-Lagrange equations
zbMATH Keywords: reaction forces
author: Đorđe Đukić
MaRDI profile type: Publication
full work available at URL: pim1205049d
OpenAlex ID: W2314484530
title: Generalized Lagrange--d'Alembert principle
published in: Publications de l'Institut Mathématique. Nouvelle Série
review text: A variant of the Lagrange--D'Alembert principle for mechanical systems with holonomic constraints is formulated by introducing generalized coordinates in the normal direction to the tangent space of the configuration manifold. The sum of the virtual works of the active forces, inertial forces and reaction forces is equal to zero, where a virtual displacement is taken to be the sum of the classical virtual displacement and a virtual displacement in the normal direction. In such a way, the constrained forces are calculated from the equations of dynamical equilibrium.
description: scientific article; zbMATH DE number 6217161