Gauss's principle in a parametric formulation of mechanics
Theoretical and applied mechanics, Tome 22 (1996) no. 1, p. 61
In this paper it is demonstrated that the Gauss’s principle also can be formulated in a parametric formulation of the mechanics of rheonomic systems, which is based on a family of varied paths, and on the transition to a new parameter, retaining the time as the independent variable. In this manner, one obtains the Gauss’s principle, both in a differential form and in the form of a principle of least constraint, including as well their presentation in generalized coordinates. From so formulated principle follows an extended system of corresponding Lagrange’s and Gibbs-Appell’s equations, and in all so obtained relations appears one additional term or equation, arising from the nonstationarity of constraints, which is characteristic for this parametric formulation of mechanics.
@article{TAM_1996_22_1_a4,
author = {Djordje Mu\v{s}icki},
title = {Gauss's principle in a parametric formulation of mechanics},
journal = {Theoretical and applied mechanics},
pages = {61 },
year = {1996},
volume = {22},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1996_22_1_a4/}
}
Djordje Mušicki. Gauss's principle in a parametric formulation of mechanics. Theoretical and applied mechanics, Tome 22 (1996) no. 1, p. 61 . http://geodesic.mathdoc.fr/item/TAM_1996_22_1_a4/