Calculation of the deformed state of the cable pipeline with circular surfaces
Journal Title: Вісник Тернопільського національного технічного університету - Year 2018, Vol 92, Issue 4
Abstract
The displacement and deflections of reinforced pipeline supports with cellular (hollow) walls are estimated. The investigated pipeline is constructed from a spiral tube. The pipe is divided into finite circular closed cylindrical shells of a certain length, at the ends of which elastic supports having the appropriate stiffness are located. The theory of anisotropic cylindrical shells is used. By the equations of the linear theory of anisotropic cylindrical shells, the averaged components of the displacement vector are determined. An appropriate system of differential equations is derived in order to establish displacements. The solution of these equations is presented in the form of double trigonometric Fourier series. In this case the normal ground resistance of the pipeline burial is taken into account. As a result, numerical calculations of displacements and deflections of the cellular pipeline are carried out.
Authors and Affiliations
Roman Hromyak, Mykola Stashchuk, Nazar Stashchuk
Experiment planning of crystalline structures fracture by inductive plasma flows
The article analyses modern fracture theories considering Kausch, Ragel, Narisava and others to be the founders. It determines common shortcomings of known researches and suggests solving them on account of statistic pla...
Thermomagnetoelectroelasti city of anisotropic solids with spatial non-flat thin inclusions
Based on the application of coupling principle for continua of different dimension the mathematical models of thin deformable inclusions for thermomagnetoelectroelastic solids are proposed. Corresponding integral equatio...
Mathematical modeling of the regular-mode electric power supply and electric power consumption processes of the organization
The topicality of providing reliable regular mode of organization functioning is substantiated. It is proposed to consider the problem of providing regular mode of organizations functioning from the position of systems a...
The comparative analysis of mathematical models of cyclic signals structure and processes
The article deals with the comprehensive research of the possibilities, perspectives and efficiency of the application of the popular mathematical models of cyclic signals and processes on the basis of mathematical suppo...
Solution of the non-axisymmetric quasistatic thermoelasticity problem for multilayer cylinder with identical Lamé coefficients
The non-axisymmetric thermoelastisity state of the multilayer unlimited hollow cylinder with the identical Lame coefficients of layers under the action of internal and surface heat sources and non-uniform distribution of...