6 Result(s)
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Article
Noether's theory of mechanical systems with unilateral constraints
Noether's theory of dynamical systems with unilateral constraints by introducing the generalized quasi-symmetry of the infinitesimal transformation for the transformation group G, is presented and two examples...
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Article
Lie symmetries and conserved quantities of holonomic variable mass systems
In this paper, the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied. By using the invariance of the ordinary differential equations under the infinitesimal transfo...
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Article
Equations of motion for nonholonomic mechanical systems with unilateral constraints
In this paper, the equations of motion for nonholonomic mechanical system with unilateral holonomic constraints and unilateral nonholonomic constraints are presented, and an example to illustrate the applicati...
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Article
Connections and geodesic characteristic of equations of motion for constrained mechanical systems
The geodesic characteristic of equations of motion for nonautonomous constrained mechanical systems is studied in the modern setting of global differential geometry. A necessary and sufficient condition for th...
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Article
Stability of motion for a constrained Birkhoff's system in terms of independent variables
This paper proposes firstly the Pfaff-Birkhoff-D'Alembert's principle and obtains the equations of motion in terms of the independent variables for a constrained Birkhoff's system from the principle. Secondly,...
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Article
Stability for the equilibrium state of Chaplygin's systéms
The stability for the equilibrium states of Chaplygin's systems is considered. The equations of motion of Chaplygin's systems and the existence conditions of their equilibrium states are given. Some criteria o...
