Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints

Hamilton’s Principle is written in terms of generalized displacements and momenta. This allows holonomic and non-holonomic constraints to be treated on an equal basis using Lagrange multipliers to derive equations of motion for a dynamical system. Three examples are considered that have been previously considered in the literature by other methods.

Duke Scholars

Author Earl H. Dowell Thomas Lord Department of Mechanical Engineering and Materia ...