<正> Making use of conclusions from[1]:(1)d-δoperations are commutative;(2)theAppell-Chetaev condition restricting virtual displacements is superfluous,the present paperderives the Lagrange equation without multipliers for a class of first-order nonlinearnonholonomic dynamical systems by means of var...05421-42
In their paper “A new perspective on constrained motion” F. E. Udwadia and R. E. Kalaba offered a ne...
We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sam...
We construct the exponential map associated to a nonholonomic system that allows us to define an ex...
The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appe...
In this paper we prove that, despite the statement of Professors F.E. Udwadia and R.E. Kalaba, their...
Suppose q₁,q₂,…,qn are the generalised coordinates of a mechanical system moving with constraints ex...
International audienceThis paper deals with mechanical systems subjected to a general class of non-i...
Mestdag and M. Crampin Abstract. We recall the notion of a nonholonomic system by means of an exampl...
It is proposed how to impose a general type of ``noncommutativity'' within classical mechanics in an...
International audienceThis paper deals with the foundations of analytical dynamics. It obtains the e...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
In the development of nonholonomic mechanics one can observe recurring confusion over the very equat...
A Lagrangian form of dynamic equations for nonlinear nonholonomic constraints was studied by the firs...
A method for constructing general null Lagrangians and their higher harmonics is presented for dynam...
Generalized non-holonomic mechanical systems are analyzed from a geometric point of view. The existe...
In their paper “A new perspective on constrained motion” F. E. Udwadia and R. E. Kalaba offered a ne...
We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sam...
We construct the exponential map associated to a nonholonomic system that allows us to define an ex...
The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appe...
In this paper we prove that, despite the statement of Professors F.E. Udwadia and R.E. Kalaba, their...
Suppose q₁,q₂,…,qn are the generalised coordinates of a mechanical system moving with constraints ex...
International audienceThis paper deals with mechanical systems subjected to a general class of non-i...
Mestdag and M. Crampin Abstract. We recall the notion of a nonholonomic system by means of an exampl...
It is proposed how to impose a general type of ``noncommutativity'' within classical mechanics in an...
International audienceThis paper deals with the foundations of analytical dynamics. It obtains the e...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
In the development of nonholonomic mechanics one can observe recurring confusion over the very equat...
A Lagrangian form of dynamic equations for nonlinear nonholonomic constraints was studied by the firs...
A method for constructing general null Lagrangians and their higher harmonics is presented for dynam...
Generalized non-holonomic mechanical systems are analyzed from a geometric point of view. The existe...
In their paper “A new perspective on constrained motion” F. E. Udwadia and R. E. Kalaba offered a ne...
We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sam...
We construct the exponential map associated to a nonholonomic system that allows us to define an ex...
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