A Criterion for Conversion of Summations to Integrations in Structural Acoustics
Abstract
An analytical formulation of a transfer function pertaining to a simple structural model is used to examine this criterion. The model consists of a coated plate immersed in fluid media on either side. The first fluid interfaces the coating atop and is semi-infinite in extent. The second fluid interfaces the bottom of the plate and terminates at a baffle that defines a reflection coefficient. An external drive is placed on a plane that lies in the fluid between the plate and the baffle. Focus is centered on the transfer function of a spectral component in the external drive to a spectral component on the inter-face with the top fluid. The presence of the baffle generates, in this transfer function, resonances and anti-resonances. These are discernible in those regions of the frequency domain in which the modal overlap parameters are less than unity. In those regions of the frequency domain in which the modal overlap parameters exceed unity the resonances and the anti-resonances merge onto values that are conditioned by the absence of the cavity. It transpires that converting a summation to an integration is tantamount to merging artificially the resonances and the anti-resonances also in those regions in which the modal overlap parameters are less than unity. The merging, again, are onto values that are conditioned by the absence of the cavity.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 2004
- Accession Number
- ADA423989
Entities
People
- Gideon Maidanik
- K. J. Becker
- L. J. Maga
Organizations
- Naval Surface Warfare Center Carderock Division