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A theory of systems with unilateral constraints. (English. Russian original) Zbl 0925.70143

J. Appl. Math. Mech. 59, No. 4, 505-512 (1995); translation from Prikl. Mat. Mekh. 59, No. 4, 531-539 (1995).
Summary: The realization of a unilateral constraint is considered in a situation in which the stiffness and coefficient of viscosity and the added masses tend to infinity simultaneously in a consistent manner. The main result is that limiting motions exist, which are identical on the boundary with the motions of a holonomic system with fewer degrees of freedom. However, a special effect, not present in the classical model, occurs here, namely, a delay in the time at which the constraint is released.

MSC:

70F20 Holonomic systems related to the dynamics of a system of particles
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