The principles of Gauss and Chetaev for systems with nonideal couplings
Abstract
A system of material points is considered, which is constrained by couplings which are nonlinear relative to the velocities of the points, nonintegrable, independent of one another, and nonideal. The DalembertLagrange principle, Gauss's principle, and Chetaev's modification of Gauss's principle, dealing with the reaction work of the couplings and the liberation of the points from the couplings, are discussed and generalized.
 Publication:

12th Yugoslav Congress of Rational and Applied Mechanics
 Pub Date:
 June 1974
 Bibcode:
 1974ram..congR....R
 Keywords:

 Couplings;
 EulerLagrange Equation;
 Gauss Equation;
 Kinetic Equations;
 Classical Mechanics;
 Points (Mathematics);
 Velocity;
 Physics (General)