Development of Approaches to Creation of Active Vibration Control System in Problems of the Dynamics for Granular Media

Abstract

Abstract. The article deals with the development of mathematical models and evaluation criteria of the vibration field in the dynamic interactions of the elements of the vibrational technological machines for the processes of vibrational strengthening of long-length parts with help of a steel balls working medium. The study forms a theoretical understanding of the modes of motions of material particles in interaction with a vibrating surface of the working body of the vibration machine. The generalized approach to the assessment of the dynamic quality of the work of vibrating machines in multiple modes of tossing, when the period of free flight of particles is a multiple of the period of the surface oscillations of the working body, is developed in the article. For the correction of vibration field of the working body, the characteristics of dynamic interactions of granular elements of the medium are taken into account using original sensors. The sensors that can detect different particularities of interaction of the granular medium elements at different points of the working body are proposed to evaluate the deviation from a homogeneous and one-dimensional mode of vibration field. Specially developed sensors are able to register interactions between a single granule, a system of granules in filamentous structures, and multipoint interactions of the elements in a close-spaced cylindrical structure. The system of regularization of the structure of vibration fields based on the introduction of motion translation devices is proposed using the multi-point sensor locations on the working body. The article refers to analytical approaches of the theory of vibration displacements. For the experimental data assessment, the methods of statistical analysis are applied. It is shown that the peculiar features of the motion of granular medium registered by the sensors can be used to build active control systems of field vibration.

Kinetic energy of the swinging separator driven by a linear electric motor

“…In order to increase the effi ciency of swinging separators while reducing the specifi c metal content and energy intensity of the equipment, it is necessary to provide controlled oscillatory movement of the executive unit with low frequencies (2-3 Hz) and amplitudes larger than 0.01 m in comparison with traditionally used devices with periodic changes in the inclination angle of the sieves. All these positive aspects of grain cleaning are realized by using a linear asynchronous motor in the drive [1,[10][11][12]. Some diffi culties in using linear electric motors in different fi elds are related to the need to develop an electronic control unit [30][31][32][33][34].…”

“…4. To fi nd transfer relations for the angular velocities of units: a -kinematic scheme of the drive mechanism; b -speed plan (10) Equations are solved (10). By designing the velocity vectors on the axis Ox, we get:…”

“…Current economic and technological requirements of grain production require highly adaptive resource-and energy-saving cleaning facilities [1,[10][11][12]. Grain mixtures are commonly separated with swinging sieves [4,5].…”

“…This assumption is based on the following. Grain mixtures separation is the most favorable when the oscillating movement of the executive link is of lower frequency (less than 2-3 Hz) and larger amplitudes (more than 0.01 m) [1,[10][11][12]. A similar and easily adjustable oscillating process can be implemented directly from the rotor of a linear motor [7].…”

Developing a strategy for the development of small enterprises in the energy sector of the economy

“…Similarly, polygon А2,B3,B4,А5 shows the ranges of the indicator values for the investment strategy involving reconstruction, and polygon А4,B5,B6,А6 -the expansion of an enterprise. The method of integrated multi-criteria assessment of the investment strategy of investing in the assets of an enterprise makes it possible to take into account the maximum number of indicators characterizing the economic, social and budgetary efficiency of investments and provides a correct comparison of various strategy options [6,7]. As a methodological basis for multi-criteria assessment of investment strategies, it is proposed:…”