Bakhtiyar Alimovich Khudayarov

This article examines the impact of technological innovation on the geological sphere and its impact on economic processes. The study analyzed articles published in recent years on the impact of technological innovation on the geological industry and its impact on the economy. Geographic information systems have been found to play a critical role in geological activities. The study confirmed that the use of geographic information systems reduces the time and costs of geological research, and also increases the accuracy of the data obtained. In addition, another significant aspect of digitalization of the geological industry was studied, namely the use of Earth remote sensing methods. The introduction of digital technologies into the geological field has been shown to bring significant economic benefits. The Koraozek and Tebinbulak iron ore deposits in the Republic of Karakalpakstan are shown using remote sensing techniques. In general, the use of remote sensing of the Earth is a powerful tool for geological research, providing geologists with access to extensive and accurate information about the state of the Earth’s surface and its resources. This method plays an important role in modern geology, contributing to a more effective and accurate study of our planet and its resources.

The nonlinear flutter of viscoelastic three-layer plates and shallow shells with a structure asymmetrical in thickness, flown around by a supersonic gas flow is studied in this paper. Mathematical models of problems on the flutter of viscoelastic three-layer plates, cylindrical panels, and shells with a structure asymmetrical in thickness, flown around by a supersonic gas flow are developed. The flutter of viscoelastic three-layer plates is studied in linear and nonlinear formulations. The critical flutter velocities of elongated plates are compared with the results obtained in previously published studies, where the solutions were obtained in an elastic formulation. The flutter of viscoelastic three-layer plates, cylindrical panels with a rigid filler that resists transverse shear, flown from the outside by a supersonic flow, was studied. It is shown that an increase in the geometric parameter characterizing the flexural rigidity of the bearing layers of three-layer structures leads to an increase in the flutter velocity by 25–40%.

Наследственная теория вязкоупругости предоставила широкие возможности для описания динамических процессов деформирования разнообразных материалов. Однако, реализация этих возможностей во многих случаях затруднена из-за отсутствия адекватного математического аппарата, в особенности при исследовании динамических процессов в вязкоупругих системах. Имеются принципиальные основания считать, что весьма перспективным в этом смысле является аппарат интегральных уравнений. Использование при этом современных возможностей вычислительной техники позволяет создавать эффективные технологии математического моделирования для задач большой сложности, к которым относятся задачи динамики и динамической устойчивости вязкоупругих элементов тонкостенных конструкций с переменной жесткостью. В работе построены математические модели задач динамики, разработаны эффективные вычислительные алгоритмы, исследованы вынужденные колебания плотины-пластины с переременной жесткостью. Приведены результаты исследований задач о колебаниях плотины-пластины переменной толщины с учетом вязкоупругих свойств материала, гидродинамического давления воды, грунта и сейсмической нагрузки. Figs.:3, Refs.: 22 titles.

Purpose: The purpose of this study is to create a mathematical model, a numerical algorithm and a computer program for studying the vibration of composite pipelines based on the theory of beams used in the oil and gas industry, agriculture and water management, housing and communal services and other areas.Design/methodology/approach: A mathematical model of vibration of a viscoelastic pipeline based on the theory of beams with a pulsating fluid flowing through it was developed. Using the Bubnov-Galerkin method, based on the polynomial approximation of deflections, the problem is reduced to the study of systems of ordinary integro-differential equations, the solution of which is found by a numerical method. A computational algorithm was developed for solving problems of vibrations of composite pipelines conveying pulsating liquid.Findings: The stability and amplitude-time characteristics of vibration of composite pipelines with a pulsating fluid flowing in it are studied for wide range of changes in the parameters of deformable systems and fluid flow. The critical velocities of fluid flow at which the viscoelastic pipe loses its rectilinear equilibrium shape are found. The effect of singularity in the kernels of heredity on the vibrations of structures with viscoelastic properties was numerically studied. It is shown that with an increase in the viscosity parameter of the pipeline material, the critical flow velocity decreases. It was determined that an increase in the value of the fluid pulsation frequency and the excitation coefficient leads to a decrease in the critical velocity of the fluid flow. It was established that an increase in the parameters of the Winkler foundation and the rigidity parameter of the continuous layer leads to an increase in the critical flow velocity.Originality/value: The study of the vibration of pipelines made of composite materials is of great theoretical and applied interest. The solution to this problem is an effective application of the theory of viscoelasticity to real processes. Therefore, the methods and problems of pipeline vibrations attract much attention from researchers. This study is devoted to solving the above problems and therefore its subject is relevant. The paper considers the results of numerical simulation of the processes of vibration of a composite pipeline based on the theory of shells during the flow of a pulsating liquid through it. A mathematical model of vibration of a composite pipeline was developed. A computational algorithm was developed for solving problems of vibrations of composite pipelines conveying pulsating liquid.

A mathematical model of the dynamics of a straight viscoelastic pipe conveying pulsating fluid has been developed in the paper. Using the Bubnov-Galerkin method, a mathematical model of the problem is reduced to solving a system of ordinary integro-differential equations, where time is an independent variable. Solution of integro-differential equations is determined by a numerical method based on the elimination of a singularity in the relaxation kernel of an integral operator. A system of algebraic equations is obtained according to the numerical method for unknowns. To solve the system of algebraic equations, the Gauss method is used. A computational algorithm is developed for solving the problems of the dynamics of viscoelastic pipelines conveying fluid.

Results of studies of the oscillations of pipelines conveying a two-phase slug flow are presented in the paper. A viscoelastic model of the theory of beams and the Winkler base model are used in the study of pipeline oscillations with a gas-containing slug flowing inside. The Boltzmann-Volterra hereditary theory of the viscoelasticity is used to describe the viscoelastic properties of the pipeline material and earth bases. The effect of gas and liquid phases flow rates, influence of tensile forces in the longitudinal direction of the pipeline, parameters of Winkler bases, parameters of singularity in the heredity kernels and geometric parameters of the pipeline on the oscillations of structures with viscoelastic properties are numerically studied. It is revealed that an increase in the length of the gas bubble zone leads to a decrease in the amplitude and oscillation frequency of the pipeline. The critical rates for a two-phase slug flow are determined. It is revealed that an increase in the soil density of the bases leads to an increase in the critical rate of gas flow. It is shown that an account of viscoelastic properties of structure material and earth bases leads to a decrease in the critical flow rate.