On the motion of mechanical systems with unilateral constraints
نویسندگان
چکیده
منابع مشابه
Stability and Attractivity of Mechanical Systems with Unilateral Constraints
In this paper we will give conditions under which the equilibrium set of multi-degreeof-freedom nonlinear mechanical systems with an arbitrary number of frictional unilateral constraints is attractive. The theorems for attractivity are proved by using the framework of measure differential inclusions together with a Lyapunov-type stability analysis and a generalisation of LaSalle’s invariance pr...
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Since its inception about 200 years ago, Lagrangian mechanics has been based upon the Principle of D’Alembert. There are, however, many physical situations where this confining principle is not suitable, and the constraint forces do work. To date, such situations are excluded from general Lagrangian formulations. This paper releases Lagrangian mechanics from this confinement, by generalizing D’...
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In this work we consider the problem of control of mechanical systems subject to unilateral constraints. Impulsive forces arise whenever the constraints become active and these forces give rise to nonsmooth dynamics. The dynamics of the system is de ned by a set of di erential equations with discontinuous righthand side using Hamilton's equations of motion. A nonlinear transformation is applied...
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An action integral is presented for Hamiltonian mechanics in canonical form with unilateral constraints and/or impacts. The transition conditions on generalized impulses and the energy are presented as variational inequalities, which are obtained by the application of discontinuous transversality conditions. The energetical behavior for elastic, plastic and blocking type impacts are analyzed. A...
متن کاملCommunications: On the linear response of mechanical systems with constraints.
We revisit the problem of the linear response of a constrained mechanical system. In doing so, we show that the standard expressions of Green and Kubo carry over to the constrained case without any alteration. The argument is based on the appropriate definition of constrained expectations by means of which Liouville's theorem and the Green-Kubo relations naturally follow.
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ژورنال
عنوان ژورنال: Vietnam Journal of Mechanics
سال: 1984
ISSN: 0866-7136,0866-7136
DOI: 10.15625/0866-7136/10423