This article is cited in 1 scientific paper (total in 1 paper)
Principles of dynamics and servo-constraints
Valery V. Kozlov
Steklov Mathematical Institute, Russian Academy of Sciences
Gubkina st. 8, Moscow, 119991, Russia
It is well known that in the Béghin–Appel theory servo-constraints are realized using controlled external forces. In this paper an expansion of the Béghin–Appel theory is given in the case where servo-constraints are realized using controlled change of the inertial properties of a dynamical system. The analytical mechanics of dynamical systems with servo-constraints of general form is discussed. The key principle of the approach developed is to appropriately determine virtual displacements of systems with constraints.
servo-constraints, d’Alembert–Lagrange principle, virtual displacements, Gauss principle, Noether theorem.
PDF file (307 kB)
Valery V. Kozlov, “Principles of dynamics and servo-constraints”, Nelin. Dinam., 11:1 (2015), 169–178
Citation in format AMSBIB
\paper Principles of dynamics and servo-constraints
\jour Nelin. Dinam.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
B. I. Adamov, “A study of the controlled motion of a four-wheeled Mecanum platform”, Nelineinaya dinam., 14:2 (2018), 265–290
|Number of views:|