Nonlinear flexural waves in cylindrical shells with periodic excitation

1988 ◽  
Vol 24 (11) ◽  
pp. 1086-1090 ◽  
Author(s):  
P. S. Koval'chuk ◽  
N. P. Podchasov
Keyword(s):  
Cylindrical Shells ◽  
Periodic Excitation ◽  
Flexural Waves

Dispersion of flexural waves in circular cylindrical shells

1972 ◽  
Vol 329 (1578) ◽  
pp. 283-297 ◽  
Keyword(s):  
Linear Elasticity ◽  
Poisson Ratio ◽  
Cylindrical Shells ◽  
Three Dimensional ◽  
Real Plane ◽  
Solid Cylinder ◽  
Flexural Waves ◽  
Circular Cylindrical Shells ◽  
The Waves ◽  
Zero Frequency

The imaginary and complex branches of the dispersion spectra corresponding to flexural waves in circular cylindrical shells of various wall thicknesses including the solid cylinder have been constructed by utilizing exact three-dimensional equations of linear elasticity. The effects of wall thickness and Poisson ratio on the cut-off frequencies have been studied. Complex branches emanate from the points of frequency extrema on the purely imaginary or purely real branches and intersect the zero frequency plane, either as purely imaginary or as complex branches. The waves associated with complex branches emerging from points on the real plane are less decaying at higher frequencies.

scholarly journals Propagation of Flexural Waves in Anisotropic Fluid-Conveying Cylindrical Shells

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 901
Author(s):  
Farzad Ebrahimi ◽  
Ali Seyfi
Keyword(s):  
Flow Velocity ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Navier Stokes ◽  
Anisotropic Fluid ◽  
Axially Symmetric ◽  
Flexural Waves ◽  
Governing Equations ◽  
Navier Stokes Equation ◽  
Propagation Behavior

In the present article, first-order shear deformation theory (FSDT) of the shell has been employed, for the first time, in order to analyze the propagation of the flexural waves in anisotropic fluid-conveying cylindrical shells. Four various anisotropic materials are utilized and their wave propagation behavior surveyed. Viscous fluid flow has been regarded to be laminar, fully developed, Newtonian, and axially symmetric. The Navier–Stokes equation can be utilized to explore the flow velocity effect. FSDT of the shell and Hamilton’s principle have been employed in order to achieve governing equations of anisotropic fluid-conveying cylindrical shells and finally, the obtained governing equations have been solved via an analytical method. In addition, the influences of different variables such as flow velocity, radius to thickness ratio, and longitudinal and circumferential wave numbers have been investigated and indicated within the framework of a detailed set of figures.

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