ABSTRACT: The purpose of the study is to examine the issues of assessing the anthropogenic impact on the ecosystem and sustainable development of a region using the example of Kuzbass. The subject of the study is to substantiate the need to improve the measurements of sustainable development of the regional economy from the point of […]

ABSTRACT: Small vibrations of a cylindrical shaft caused by inertial excitations are studied in this paper. The shaft is vertically situated. It consists of two sections with different cross sections. It is supported by a spherical and a cylindrical joint. The two supporting devices have horizontal elasticity. Between the two supports, and also at the

ABSTRACT: In this article, new equations called Condensed Lagrange equations (CLEs) are defined. With their help, the rigid body’s absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLEs are similar in structure to the classical Lagrange equations from the second type, applied in vector-matrix form, but CLEs are

ABSTRACT: In this article, a rigid body’s absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector generalized impulse of the rigid body, and the vector-real generalized

ABSTRACT: The absolute motion of an arbitrary asymmetric rigid body is studied. This motion is determined after its relative motion has been obtained. The most important peculiarity in this dynamical rigid body model is that the selected pole does not coincide with its mass center. Seven new kinematic characteristics have been defined. The first ones

ABSTRACT: The relative motion of an arbitrary asymmetrical rigid body in this article is studied. Three new additional kinematic characteristics are defined, namely, vectors-real absolute, transmissive, and relative generalized velocity. A new theorem for summation of the rigid body’s real generalized velocities, with these new additional kinematic characteristics, is formulated. Using the final differential equations

ABSTRACT: In this paper, the trajectories of a soccer ball for the most important kicks in the football game – a corner kick and a direct free kick are studied. The soccer ball is modeled as an ideal rigid hollow spherical body with six degrees of freedom, which performs a general motion in an immovable

ABSTRACT: The forced three-dimensional vibrations of a machine unit “electric motor-compressor”, mounted on the wagons of electric trains from the traction of “BDZ” EAD in this work are studied. The purpose of the work is to determine the parameters of the vibrating insulation of the unit that is suspended on three vertical supports to the