Add to ORKGAbstract: The structure of a set of mechanical system's reactions for realization of constraints in a process of a motion is detected. The notion of virtual displacements is generalized for systems with differential nonlinear retaining constraints. The correctness of local principles of mechanics is verified for the generalized notion of virtual displacements. The generalization of Voronec's equations is received for systems under consideration.Note: Research direction:Theoretical and applied problems of mechanic
AbstractThe paper deals with mathematical description of unilateral constraints imposed on displacem...
A geometric formulation of Classical Analytical Mechanics, especially suited to the study of non-hol...
Summary: "In this paper the method of design of kinematical and dynamical equations of mechanical sy...
The paper introduces the variation of a vector x, which can be interpreteed either as a virtual di...
summary:The inverse problem of the calculus of variations in a nonholonomic setting is studied. The ...
In this paper we present two methods, the nonholonomic method and the vakonomic method, for deriving...
Abstract: Properties of mechanical systems controlled by application of servo-constraints ...
The mechanically-based approach to non-local elastic continuum, will be captured through variational...
Abstract: The mistakes in formulation and proof of the sufficiency conditions of a princip...
Summary (translated from the Russian): "We present a method for constructing equations of kinematics...
The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appe...
AbstractThe mechanically-based approach to non-local elastic continuum, will be captured through var...
This chapter investigates applications of the principles of analyticalmechanics developed in chapter...
In this paper we present two methods, the nonholonomic method and the vakonomic method, for derivin...
The main purpose of dynamical processes modelling is to formulate the motion equations of the system...
AbstractThe paper deals with mathematical description of unilateral constraints imposed on displacem...
A geometric formulation of Classical Analytical Mechanics, especially suited to the study of non-hol...
Summary: "In this paper the method of design of kinematical and dynamical equations of mechanical sy...
The paper introduces the variation of a vector x, which can be interpreteed either as a virtual di...
summary:The inverse problem of the calculus of variations in a nonholonomic setting is studied. The ...
In this paper we present two methods, the nonholonomic method and the vakonomic method, for deriving...
Abstract: Properties of mechanical systems controlled by application of servo-constraints ...
The mechanically-based approach to non-local elastic continuum, will be captured through variational...
Abstract: The mistakes in formulation and proof of the sufficiency conditions of a princip...
Summary (translated from the Russian): "We present a method for constructing equations of kinematics...
The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appe...
AbstractThe mechanically-based approach to non-local elastic continuum, will be captured through var...
This chapter investigates applications of the principles of analyticalmechanics developed in chapter...
In this paper we present two methods, the nonholonomic method and the vakonomic method, for derivin...
The main purpose of dynamical processes modelling is to formulate the motion equations of the system...
AbstractThe paper deals with mathematical description of unilateral constraints imposed on displacem...
A geometric formulation of Classical Analytical Mechanics, especially suited to the study of non-hol...
Summary: "In this paper the method of design of kinematical and dynamical equations of mechanical sy...