Analysis of time harmonic wave propagation in an elastic layer under heavy fluid loading

2007 ◽  
Vol 305 (4-5) ◽  
pp. 689-702 ◽  
Author(s):  
S.V. Sorokin
Keyword(s):  
Wave Propagation ◽  
Elastic Layer ◽  
Harmonic Wave ◽  
Fluid Loading ◽  
Heavy Fluid ◽  
Time Harmonic

On Wave Modes With Zero Group Velocity in an Elastic Layer

1984 ◽  
Vol 51 (3) ◽  
pp. 652-656 ◽  
Author(s):  
J. L. Tassoulas ◽  
T. R. Akylas
Keyword(s):  
Group Velocity ◽  
Frequency Spectrum ◽  
Elastic Layer ◽  
Harmonic Wave ◽  
Circular Disk ◽  
Free Surfaces ◽  
Time Harmonic ◽  
Free Vibration Frequency ◽  
Zero Group ◽  
Wave Modes

A study is made of time-harmonic wave modes in an elastic layer in plane strain with traction-free surfaces. It is demonstrated that, at points of the Rayleigh-Lamb frequency spectrum where the group velocity vanishes, there exist nonseparable time-harmonic modes in which the amplitudes of the displacements vary linearly in the direction along the layer. These modes are used to explain the terrace-like structure of the free-vibration frequency spectrum of a circular disk.

scholarly journals A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

2011 ◽  
Vol 230 (7) ◽  
pp. 2406-2432 ◽  
Author(s):  
J. Zitelli ◽  
I. Muga ◽  
L. Demkowicz ◽  
J. Gopalakrishnan ◽  
D. Pardo ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Harmonic Wave ◽  
Galerkin Methods ◽  
Optimal Test ◽  
Time Harmonic
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