Abstract
A linear analysis of the vibratory behaviour of initially tensioned orthotropic circular cylindrical shells conveying a compressible inviscid fluid is presented. The model is based on the three-dimensional nonlinear theory of elasticity and the Eulerian equations. A nonlinear strain-displacement relationship is employed to derive the geometric stiffness matrix due to initial stresses and hydrostatic pressures. Frequency-dependent fluid mass, damping and stiffness matrices associated with inertia, Coriolis and centrifugal forces, respectively, are derived through the fluid-structure coupling condition. The resulting equation governing the vibration of fluid-conveying shells is solved by the finite element method. The free vibration of initially tensioned orthotropic cylindrical shells conveying fluid is investigated; numerical examples are given and discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 53-70 |
| Number of pages | 17 |
| Journal | Journal of Fluids and Structures |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 31 Jan 2002 |
Keywords
- orthotropic circular cylindrical shells
- compressible inviscid fluid
- elasticity
- Eulerian equations