Spatial vibrations of a pipeline in a continuous medium under the action of variable internal pressure

2016 ◽  
Vol 45 (6) ◽  
pp. 485-494 ◽  
Author(s):  
R. F. Ganiev ◽  
M. A. Il’gamov ◽  
A. G. Khakimov ◽  
M. M. Shakir’yanov
Keyword(s):  
Internal Pressure ◽  
Continuous Medium ◽  
Variable Internal Pressure

On A Formulation of the Elastic Stability Equations of Circular Cylindrical Shells Under Variable Internal Pressure

1985 ◽  
Vol 9 (2) ◽  
pp. 64-69
Author(s):  
J.L. Urrutia-Galicia ◽  
A.N. Sherbourne
Keyword(s):  
Mathematical Model ◽  
Internal Pressure ◽  
Cylindrical Shells ◽  
Direct Analysis ◽  
Elastic Stability ◽  
Equilibrium Path ◽  
Circular Cylindrical Shells ◽  
The Stability ◽  
Variable Internal Pressure ◽  
The Mathematical Model

The mathematical model of the stability analysis of circular cylindrical shells under arbitrary internal pressure is presented. The paper consists of a direct analysis of the equilibrium modes in the neighbourhood of the unperturbed principal equilibrium path. The final stability condition results in a completely symmetric differential operator which is then compared with current theories found in the literature.

scholarly journals Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium

2019 ◽  
Vol 109 ◽  
pp. 00080
Author(s):  
Volodymyr Sapehin
Keyword(s):  
Fourier Transform ◽  
Wave Equation ◽  
Internal Pressure ◽  
Elastic Medium ◽  
Plane Deformation ◽  
Integral Fourier Transform ◽  
Nonstationary Deformation ◽  
Variable Internal Pressure ◽  
First Time

For the first time, for solving the wave equation, the method of the integral Fourier transform for an elastic medium under the action of variable internal pressure was used. This equation contains singularities of the second kind, which were excluded from the calculation by the half division method. The main parameters of the process of non-stationary deformation affecting the magnitude of stresses and displacements for the case of plane deformation are established.

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