Response of an Acoustic Coating on a Rib-Stiffened Plate
Abstract
This report develops an analytical model of a fluid-loaded acoustic coating affixed to a rib-stiffened plate. The model is three-dimensional and has fully-elastic behavior. The system is loaded by a plane wave that is harmonic both spatially and temporally. The model begins with Naviers' equations of motion of an elastic solid, which produces unknown displacement fields that are inserted in to stress equations at the boundaries of the plate and the acoustic coating. These stress fields are coupled to the fluid field and the rib stiffeners with force balances. Manipulation of these equations develops an infinite number of indexed equations that are truncated and incorporated into a global matrix equation. This global matrix equation can be solved, and the result is the system displacements, stresses, and scattered pressure field. This problem is investigated for two specific outputs: (1) a sonar array embedded in the acoustic coating and (2) the scattered pressure field. The results are compared to previously developed models for the system without ribs. It is shown that the ribs can have a significant impact on stresses in the acoustic coating and the scattered pressure field.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 06, 2008
- Accession Number
- ADA486522
Entities
People
- Andrew John Hull
- John R. Welch
Organizations
- Naval Undersea Warfare Center