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Document Details
Document Type
:
Article In Journal
Document Title
:
Shape of dispersion curves in the Rayleigh-Lamb spectrum
Shape of dispersion curves in the Rayleigh-Lamb spectrum
Document Language
:
Arabic
Abstract
:
THE FOLLOWING FEATURES of the symmetric Lamb modes in an elastic waveguide are well known: 1. There exists no mode with phase speed less than c(R). 2. There is only one mode whose speed asymptotically approaches c(R). 3. A horizontal line above c = c(T) (including the line c = c(L)) cannot be an asymptote to any of the modes. 4. Phase speed of all modes, except the lowest mode, approaches c(T) as the frequency becomes very large. The above features characterize the spectrum which is obtained numerically or expertimentally but are not fully understood analytically. We analyze the Rayleigh--Lamb equation and provide analytical explanation for the above features.
Journal Name
:
ARCHIVES OF MECHANICS
Volume
:
56
Issue Number
:
2
Publishing Year
:
2004 AH
Added Date
:
Friday, June 20, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
.
Ahmad F
Researcher
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