Modeling of spatial natural oscillations of axisymmetric systems

Abstract

A mathematical model, methods and algorithm for estimating the natural vibrations of inhomogeneous axisymmetric systems in a three-dimensional statement are presented in the paper. The problem is solved by the semi-analytical finite element method (FEM). The reliability of the developed methods and algorithms was validated by comparing the results obtained with the exact solution of a number of test problems for three-dimensional bodies, as well as by comparing the results with the results of field experiments. Spatial natural vibrations of inhomogeneous spatial axisymmetric systems, i.e. the models of nuclear power plants (NPPs) shielding shell in a three-dimensional statement were investigated. The results were analyzed to detect mechanical effects and revealed that the presence of multiple (close) eigenfrequencies in real spatial axisymmetric systems is not an exception, but a rule.

Environmental Management of the Use of Natural Resources in the Sustainable Development of the National Economy of Uzbekistan

“…The globalization of today's economy makes it necessary to study the aspects of enterprises adapting to the competitive environment, to organize production in accordance with the demands of comprehensively developing market relations, and to effectively manage them. Industrial enterprises operating under the conditions of structural changes and liberalization of the economy, as a link of our national economy, have been making a great contribution to the economy of the republic and the prosperous life of our people [9] The entry into our country of competitive and cheap products produced in foreign countries makes it an important issue for experts and leading scientists to reveal scientifically based tips on the development and effective operation of industrial enterprises in our republic. In connection with the introduction of new economic mechanisms in the conditions of the market economy, a number of problems are arising in many industrial enterprises.…”