Title: Equations of motion for nonholonomic systems (21 pages)
Detail: Invited talk, Workshop on Non-holonomic Constraints in Dynamics, The University of Calgary, 1997/08/28

The talk will be roughly in three parts, with the last two strongly related. In the first part of the talk I shall discuss the use of affine connections for writing the equations of motion for ``simple'' mechanical systems with constraints (i.e., those whose Lagrangians are kinetic energy minus potential energy). The second part of the talk deals with using the Gibbs-Appell equations to arrive at equations of motion for general Lagrangian systems (here general means formulated on a bundle over the R and with nonlinear constraints). In the last part of the talk, I remain in the general framework and talk about variational principles, first Gauss's Principle of Least Constraint, then a generalisation of the Lagrange-d'Alembert Principle.

No online version avaliable.

Andrew D. Lewis (andrew at mast.queensu.ca)