Modeling the dynamics of vibratory separator of the drum type with concentric arrangement of sieves

This study deals with a methodology for increasing the efficiency of dynamic process calculations in elastic elements of complex engineering constructions. We studied the complex dynamic processes in a simple engineering construction, a mechanical system of an elastic body–continuous flow of homogeneous medium. The developed methodology is based on the use of a priori information on some of the vibrations forms, the construction of a “simplified” mathematical model of system dynamics, and the obtaining of an analytical relationship that describe the overall range of factors on the elastic vibrations of system. The methodology is used for cases of complex vibrations of elastic bodies, and the obtained results can serve as a basis for choosing the main technological and operational parameters of elastic elements of mechanisms and machines that perform complex vibrations. The results obtained in this work are the basis for calculating the blast effect on the elements of protective structures in order to increase their protective capacity by improving the method of their attachment or by using additional reinforcement, buff load effects on the elements of drilling strings and dynamic processes that occur during surface strengthening by work hardening in order to avoid resonance phenomena, and technological processes of vibration displacement or vibration separation of granular media.

A method for studying the effect of impulse perturbation on the longitudinal oscillations of a homogeneous constant cross-section of the body and the elastic properties of a material which satisfies the essentially nonlinear law of elasticity has been developed. A mathematical model of the process is presented, which is an equation of hyperbolic type with a small parameter at the discrete right-hand side. The latter expresses the effect of impulse perturbation on the oscillatory process. As for the boundary conditions considered in the work, they are classic of the first, second and third genera. The methodology is based on: the principle of oscillation frequency in nonlinear systems with many degrees of freedom and distributed parameters; basic provisions of asymptotic methods of nonlinear mechanics; the idea of using special periodic Ateb-functions to construct solutions of some classes of nonlinear differential equations; properties of completeness and orthonormality of functions that describe the forms of oscillations of undisturbed motion. In general, the above allowed to obtain relations that describe for the first approximation the defining parameters of the oscillations of an elastic body. Their peculiarity is that even for undisturbed motion, the natural frequency of oscillations depends on the amplitude, and therefore, under the action of a periodic (over time) pulse force on the elastic body, both resonant and nonresonant processes are possible in the latter. It, in contrast to an elastic body with linear or quasilinear elastic properties of the body is determined not only by its basic physical and mechanical properties, but also by the amplitude of oscillations. As a special case, the oscillations of the body under the action of a constant periodic momentum perturbation are considered. It is shown that for the nonresonant case for the first approximation it does not affect the laws of change of amplitude and frequency of the process. As for the resonant is the amplitude of origin through the main resonance significantly depends not only on the speed but also on the points of action of the pulsed perturbation. Moreover, the closer the point of application of the pulsed force to the middle of the elastic body under boundary conditions of the first kind is greater (for boundary conditions of the second kind closer to the end).

The model of dynamics of a system ‘extruder elastic auger working body’ is developed. The design of an extruder elastic screw working body is worked out. The article provides the proposition of calculation technique for determining of the theoretical dependences that would analyse the laws of amplitude changing and oscillation phase of a system ‘elastic auger working body’ in the non-resonant case. It also provides analytical dependences determining the characteristic features of different geometrical parameters of an extruder working body.

The relationship of oscillations amplitude of the granular medium-elastic screw system whilst passing over resonance at different values of the bulk mass per unit length at different motion velocity has been studied. The relation of resonance oscillations of the granular medium-elastic screw system described by ratio α(t) and ν(t) has been shown. Based on these ratios, we plotted time variations of amplitude against quick passing over resonance.

The work aims to investigate the possibility of using software agents based on artificial intelligence to optimize the information process in libraries. Modern libraries, especially academic ones, act as resource centers for providing scientific and educational information for the scholarly community. However, the library's activities are not only about serving users and satisfying their information needs. Numerous internal processes are not visible to the average person. User. Despite providing libraries with information systems that support their activities, libraries must keep pace with modern technologies and strive to optimize and transform their activities in accordance with the conditions of modernity, as well as the information needs of users. One of the most modern technologies is the production of various kinds of tools combined with the work of artificial intelligence. Since much research has been conducted on the possibility of using AI in different fields, the library industry is no exception. The paper considers the possibility of applying AI-based agents to the ability to process and optimize processes related to information processing in libraries. The paper analyzes the capabilities of software agents based on AI, such as AutoGPT, AgentGPT, MiniAGI, SuperAGI, and natural language processing, for use in the library. The main attention is paid to analyzing the main areas, such as cataloging and book-buying recommendations. The paper proposes new approaches to optimizing information processes in libraries with the help of intelligent agents, emphasizing their potential to increase the productivity and quality of library services.