A constructive method of establishing the validity of the theory of systems with non-retaining constraints

DOI10.1016/0021-8928(88)90001-9zbMath0711.70021OpenAlexW1971746239MaRDI QIDQ922748

Valery V. Kozlov

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90001-9

zbMATH Keywords

Befreiungsprinzipformal axiomatic approachsystems with collisionstheory of constrained systems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Holonomic systems related to the dynamics of a system of particles (70F20) Collision of rigid or pseudo-rigid bodies (70F35) Lagrange's equations (70H03)

Related Items (12)

The realization of unilateral constraints ⋮ Stochastic mechanical systems with a non-retaining constraint ⋮ The dynamics of systems near to grazing collision ⋮ Some integrable extensions of Jacobi's problem of geodesics on an ellipsoid ⋮ The use of the constructive method in systems with static friction ⋮ Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard ⋮ On the stability of periodic trajectories of a planar Birkhoff billiard ⋮ The stability of two-link trajectories of a Birkhoff billiard ⋮ Penalty approximation for non-smooth constraints in vibroimpact ⋮ On the dynamics of systems with one-sided non-integrable constraints ⋮ The stability of periodic trajectories of a billiard ball in three dimensions ⋮ The problem of realizing constraints in dynamics

Cites Work

• On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
• Motion under a strong constraining force
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