Classical dynamics of non-holonomic systems: A geometric approach. (English) Zbl 0731.70012

Massa, Enrico; Pagani, Enrico

Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 1, 511-544 (1991).

Summary: A frame independent formulation of classical analytical dynamics in the language of jet-bundle theory is developed. The geometrical environment is general enough to accommodate arbitrary “ideal” non-holonomic systems, independently of any assumption of linearity, through a suitable implementation of Gauss’ principle of minimal constraint. The resulting dynamical scheme is analyzed in detail. Comparison with other, more traditional formulations, is examined.

MSC:

70F25	Nonholonomic systems related to the dynamics of a system of particles
70H30	Other variational principles in mechanics

Keywords:

jet-bundle theory; non-holonomic systems; Gauss’ principle of minimal constraint

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