Abstract
The article describes the research methodology of parametric vibrations and dynamic stability of ground thin-walled large-diameter pipeline. The equation of motion of the middle surface of the cylindrical shell element based on elastic resistance of ground. To determine the frequency of free oscillations using the assumptions of the semimomental theory of cylindrical shells and get a complete system of equations for the case of an articulated fixing of the cylindrical shell. Solving the resulting system in analytical form the expression for determining the square of the frequency of free oscillations of a thin-walled ground gas pipeline of large diameter. The methodology of the study of the dynamic stability of a gas pipeline under unsteady effects of internal operating pressure, and the parameter of the longitudinal compressive force, using Mathieu equations. With the help of the Bogolyubov-Mitropolsky techniques built area of dynamic instability in the form of Ince-Strutt diagram for different values of the internal pressure of the pipeline section, the parameter of the longitudinal compressive force, and parameter of thin-walled h / R.
Highlights
Nowadays pipelines are the main means of delivery of the product from the production site to the consumer
Sokolov [5], AA Efimov [7], which solved the problem of parametric vibrations and dynamic stability of large diameter pipe sections with a pulsating flow of liquid on the basis of a geometrically nonlinear variant semimomental theory of cylindrical shells and potential flow of an ideal fluid theory
The shell is exposed to the action of a stationary internal operating pressure р0, longitudinal compressive force F, and the influence of the elastic foundation is
Summary
Nowadays pipelines are the main means of delivery of the product from the production site to the consumer. The linear part of main pipelines is the most expensive metal content and engineering construction, durability and reliability that is necessary to provide for the entire period of operation. It should be noted the works of the authors based on the classical theory of the beam: S.P.Timoshenko, Y.G.Panovko, V.V. Bolotin [1], V.I. Feodosiev, H. It should be noted the works deal with pipelines connect with elastic foundation: P. There are many works connect with determine of the free oscillation. The Problem deal with dynamic calculation of ground pipeline wasn’t solved, because in free source not enough information of method which to take into account the effect of soil radial pressure on the outer surface of the pipe on its own and parametric oscillation
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