Abstract
In this paper we present a new variational principle, from which Gauss principle can be derived as a corollary. By using the new principle, Appell's and Tzènoff's equations are extended to nonholonomic systems of any order. As an example, a second order nonholonomic system is given to illustrate the application of the equations obtained.
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References
Dobronravov V.V., Principles of Mechanics of Nonholonomic Systems (1970), (in Russian).
Niu Qingping,Acta Mechanica Sinica,7 2(1964), (in Chinese).
Neimark, Ju. I. & Fufaev, N.A., Dynamics of Nonholonomic Systems, American Mathematical Society, Providence, R.I. (1972).
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Wenxi, X. Extensions of Appell's and Tzènoff's equations to general nonholonomic systems. Acta Mech Sinica 3, 354–362 (1987). https://doi.org/10.1007/BF02486821
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DOI: https://doi.org/10.1007/BF02486821