Dynamic Model of an Axisymmetric, Transversely Isotropic, Fluid- Loaded, Fully Elastic Cylindrical Shell

摘要

A fully elastic model of a transversely isotropic, fluid-loaded cylindrical shell is derived. The model is based on transversely isotropic equations of motion in the cylindrical coordinate system. Using the radial and longitudinal equations of motion, two free wavenumbers of the shell are determined, allowing the displacement field of the shell to be written as a linear expression with four unknown wave propagation coefficients. These displacements are used in the stress boundary conditions, where the fluid loading and the external forcing are added to the model. This produces a four- by-four system of equations that can be solved to obtain a solution to the wave propagation coefficients. This solution gives a known displacement field, a known inner pressure field, and a known outer pressure field. The model is validated using two previously derived shell models. An example is included to illustrate the model output where the specific interest is on the transfer function of inner pressure divided by external radial pressure and inner pressure divided by external longitudinal pressure. Finally, the MATLAB code used to generate this model is included for future use.