Considering initial axial loads, dynamics and stability of an inner functionally graded cylindrical shell conveying swirling fluid (i.e., water) in the annulus between the flexible inner shell and the identical rigid outer shell are investigated by the traveling wave approach. Shell motions are described by Donnell’s thin shell equations. The fluid forces associated with shell motions are treated in the frame of the potential flow theory. The theoretical analysis is conducted by the zero-level contour method. The critical velocities of losing stability are determined. The influences of angular flow on the critical axial velocity and axial flow on the critical annular velocity are studied. Moreover, effects of the magnitude and the direction of initial axial loads on the critical velocities are fully discussed.

Dynamics and stability of a functionally graded cylindrical thin shell containing swirling annular fluid flow including initial axial loads

The paper is concerned with the finite element analysis of hydroelastic stability of stationary or rotating elastic single and coaxial cylindrical shells subjected to compressible fluid flows having axial and tangential velocity components. The behavior of the flowing and rotating fluid is described in the framework of the potential theory. Consideration of elastic shells is based on the classical shell model. The results of the numerical analysis of shell stability for various boundary conditions, geometrical dimensions and different sizes of the annular gap between the outer and inner shells are discussed. It has been found that single and coaxial shells interacting with the combined fluid flows show qualitative differences in the dynamic behavior.

Specific Features of Dynamic Behavior of Stationary and Rotating Single/Coaxial Cylindrical Shells Interacting With the Axial and Rotational Fluid Flows

Size-dependent stability analysis of a functionally graded cylindrical shell subjected to swirling annular flow including the fluid viscosity

Dynamic response of a functionally graded cylindrical shell subjected to swirling annular flow including the fluid viscous effects

This paper is concerned with the numerical investigation of hydroelastic stability of stationary or rotating coaxial cylindrical shells, interacting with compressible fluid flows having the axial and tangential velocity components. The behavior of a flowing and rotating compressible fluid is considered in the framework of the potential theory. Elastic shells are described using the model of the classical shell theory. Numerical implementation was accomplished based on the semi-analytical variant of the finite element method. The paper presents the results of numerical experiments on the stability of shells interacting with different flow patterns for a variety of boundary conditions, geometrical dimensions, width of the annular gap between the outer and inner shell under the constraint of the outer shell rigidity. It has been shown that the elasticity of the outer shells has the greatest effect on the dynamic behavior of coaxial shells interacting with fluid flows having different combinations of velocity components.

V.P. Matveenko

Papers

Stability of a cylindrical shell subject to an annular flow of rotating fluid