Disorder and Localization in Ribbed Structures with Fluid Loading
Abstract
The paper considers the steadystate harmonic response of an elastic fluidloaded membrane supported by irregularly spaced ribs. Under the assumption of subsonic wave coupling, the solution is given exactly for any configuration as a product of 2 × 2 transfer matrices. It is well known that the response of a periodically ribbed membrane exhibits a pass/stop band structure. Although this structure is destroyed in the irregular case, we find that two distinct regimes remain: smooth and fluctuating exponential decay. The transfer matrix solution is used to explain these regions. The average transfer matrix is obtained exactly; where the decay is smooth its eigenvalues approximately determine the localization length.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 January 1994
 DOI:
 10.1098/rspa.1994.0005
 Bibcode:
 1994RSPSA.444...73S