The Effect of an Internal Compressible Fluid Column on the Breathing Vibrations of a Thin Pressurized Cylindrical Shell

1958 ◽  
Vol 25 (5) ◽  
pp. 288-294 ◽  
Author(s):  
J. G. BERRY ◽  
E. REISSNER
Keyword(s):  
Cylindrical Shell ◽  
Compressible Fluid

scholarly journals Longitudinal vibrations of a cylindrical shell filled with a viscous compressible liquid

2021 ◽  
Vol 264 ◽  
pp. 02017
Author(s):  
Khayrulla Khudoynazarov ◽  
Burxon Yalgashev
Keyword(s):  
Cylindrical Shell ◽  
Compressible Fluid ◽  
Elastic Shell ◽  
Compressible Liquid ◽  
Viscous Compressible Fluid ◽  
Longitudinal Displacement ◽  
Longitudinal Vibrations ◽  
Radial Displacements ◽  
Viscous Compressible Liquid ◽  
External Loads

This article investigates the longitudinal vibrations of a semi-infinite circular cylindrical elastic shell filled with a viscous compressible fluid. It is believed that the vibrations are excited by a suddenly switched on longitudinal displacement at the end. To solve the problem, the refined equations of longitudinal vibrations of a circular cylindrical elastic shell interacting with an internal viscous compressible fluid, previously proposed by the authors, were taken as the main resolving equations. In this case, the lateral surfaces of the shell are considered free from external loads; in addition, considering purely longitudinal vibrations, it can be assumed that the radial displacements of the points of the shell are equal to zero.

scholarly journals LONGITUDINAL-RADIAL VIBRATIONS OF THE ELASTIC CYLINDRICAL SHELL FILLED WITH A VISCOUS COMPRESSIBLE FLUID

2021 ◽  
pp. 139-154
Author(s):  
Kh.Kh. Khudoynazarov ◽  
◽  
R.I. Khalmuradov ◽  
B.F. Yalgashev ◽  
◽  
...  
Keyword(s):  
Cylindrical Shell ◽  
Compressible Fluid ◽  
Isotropic Material ◽  
Wave Number ◽  
Elastic Cylindrical Shell ◽  
Viscous Compressible Fluid ◽  
Radial Vibrations ◽  
Hydroelastic System ◽  
The Mathematical Model ◽  
Fluid Interaction

In this paper, the longitudinal-radial vibrations of the elastic cylindrical shell filled with a viscous compressible fluid are studied using the mathematical model proposed. The general equations for the longitudinal-radial vibrations of the shell made of the homogeneous and isotropic material are derived. These equations can be used to obtain refined equations of vibrations. The proposed algorithm allows one to uniquely determine the stress-strain state of points in any section of the considered hydroelastic system using the field of the required functions in coordinates and time. The benchmark problem of harmonic oscillations in a cylindrical shell with a viscous fluid is solved. The dependences of the frequency on the wave number are obtained for various shell- fluid interaction cases.

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