On the motion of a nonholonomically constrained system in the nonresonance case. (English) Zbl 1272.70066
Summary: The motion of a nonlinearly nonholonomically constrained system comprised of two material points connected by a “fork” is investigated in the nonresonance case. This leads to two equations of motion; one of which is nonlinear in the system velocities. The system is shown to be integrable in the nonresonance case, and the motion is described analytically and also computed numerically for several parameter values yielding results that conform to the analytical predictions.
MSC:
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
References:
| [1] | Kozlov, V. V.; Kolesnikov, N. N.: About the theorems in dynamics, Prikl. mat. Mekh. 42, No. 1, 28-33 (1978) |
| [2] | Neimark, Yu.I.; Fufayev, N. A.: The dynamics of nonholonomic systems, (1967) |
| [3] | Zeković, D., 1984. Some problems of the dynamics of nonholonomic systems, PhD dissertation, Belgrade (in Serbian) |
| [4] | Zeković, D.: On the motion of the integrable system with nonlinear nonholonomic constraint, Vestn. MGU ser. 1 mat. Mekh. 3, 64-66 (1992) · Zbl 0775.70020 |
| [5] | Zeković, D.: On integrable system motion with nonholonomic bound. The case of resonant relations, Vestn. MGU ser. 1 mat. Mekh. 1, 104-108 (1993) |
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