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Theory of the motion of systems with rolling. (English. Russian original) Zbl 0593.70021

J. Appl. Math. Mech. 49, 41-49 (1985); translation from Prikl. Mat. Mekh. 49, 56-65 (1985).
Summary: A mathematical model is proposed for describing the motions of a system with rolling, and with or without slippage. Conditions are given for the transition from one mode of motion to another. Examples are included.

MSC:

70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
70F25 Nonholonomic systems related to the dynamics of a system of particles
70E15 Free motion of a rigid body
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