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.
Keywords:
servo-constraints, d’Alembert–Lagrange principle, virtual displacements, Gauss principle, Noether theorem
Citation:
Kozlov V. V., Principles of dynamics and servo-constraints, Rus. J. Nonlin. Dyn.,
2015, Vol. 11, No. 1,
pp. 169-178
DOI:10.20537/nd1501009