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    Principles of dynamics and servo-constraints

    2015, Vol. 11, No. 1, pp.  169-178

    Author(s): Kozlov V. V.

    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


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