A Model of an Infinite Length, Axisymmetric, Isotropic, Forced Thick Shell
Abstract
The model described in this report provides an exact solution to the equations of motion for an infinite length, axisymmetric, isotropic, forced thick shell. In this model, the governing equations of motion of an isotropic elastic solid in cylindrical coordinates are first separated into a dilatational wave equation and three distortional wave equations that can be solved with Bessel functions. These general solutions are then inserted into stress-strain constitutive equations at the interior and exterior of the shell. The displacements are next determined from forcing functions that are applied to the shell. In this new model, the shell thickness effects on wave propagation are addressed. The case where the mean radius of the shell is equal to its thickness has been analyzed and compared with thin shell equations of motion. It is shown that, in general, the thin shell equations of motion often underpredict thick shell response.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 1994
- Accession Number
- ADA285586
Entities
People
- Andrew John Hull
Organizations
- Naval Undersea Warfare Center