Wave Propagation in Elastic Plates: Low and High Mode Dispersion

1957 ◽  
Vol 29 (1) ◽  
pp. 37-42 ◽  
Author(s):  
Ivan Tolstoy ◽  
Eugene Usdin
Keyword(s):  
Wave Propagation ◽  
High Mode ◽  
Elastic Plates ◽  
Mode Dispersion

Low‐ and High‐Mode Dispersion in Elastic Plates

1956 ◽  
Vol 28 (4) ◽  
pp. 794-795
Author(s):  
Ivan Tolstoy ◽  
Eugene Usdin
Keyword(s):  
High Mode ◽  
Elastic Plates ◽  
Mode Dispersion

scholarly journals PROPAGATION OF LOCALIZED VIBRATION MODES ALONG EDGES OF IMMERSED WEDGE-LIKE STRUCTURES: GEOMETRICAL-ACOUSTICS APPROACH

1999 ◽  
Vol 07 (01) ◽  
pp. 59-70 ◽  
Author(s):  
VICTOR V. KRYLOV
Keyword(s):  
Wave Propagation ◽  
Acoustic Waves ◽  
Nonlinear Function ◽  
Experimental Investigations ◽  
Elastic Plates ◽  
Liquid Loading ◽  
Geometrical Acoustics ◽  
Subsonic Regime ◽  
Supersonic Regime ◽  
Elastic Modes

The theory of antisymmetric localized elastic modes propagating along edges of immersed wedge-like structures is developed using the geometrical-acoustics approach to the description of flexural waves in elastic plates of variable thickness. The velocities of these modes, often called wedge acoustic waves, are calculated using solutions of the dispersion equation of the Bohr-Sommerfeld type following from the geometrical-acoustics description of localized wedge modes. In a subsonic regime of wave propagation, i.e. for wedge modes slower than sound in liquid, the influence of liquid loading results in significant decrease of wedge wave velocities in comparison with their values in vacuum. This decrease is a nonlinear function of a wedge apex angle θ and is more pronounced for small values of θ. In a supersonic regime of wedge wave propagation, a smaller decrease in velocities takes place and the waves travel with the attenuation due to radiation of sound into the surrounding liquid. The comparison is given with the recent experimental investigations of wedge waves carried out by independent researchers.

Linear water wave propagation through multiple floating elastic plates of variable properties

2007 ◽  
Vol 23 (4) ◽  
pp. 649-663 ◽  
Author(s):  
A.L. Kohout ◽  
M.H. Meylan ◽  
S. Sakai ◽  
K. Hanai ◽  
P. Leman ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Water Wave ◽  
Elastic Plates ◽  
Variable Properties

Effect of longitudinal stress on wave propagation in width-constrained elastic plates with arbitrary Poisson's ratio

2015 ◽  
Vol 252 (7) ◽  
pp. 1615-1619 ◽  
Author(s):  
Paweł Sobieszczyk ◽  
Marcin Majka ◽  
Dominika Kuźma ◽  
Teik-Cheng Lim ◽  
Piotr Zieliński
Keyword(s):  
Wave Propagation ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Elastic Plates ◽  
Longitudinal Stress

Wave propagation in non-homogeneous magneto-electro-elastic plates

2008 ◽  
Vol 317 (1-2) ◽  
pp. 250-264 ◽  
Author(s):  
Wu Bin ◽  
Yu Jiangong ◽  
He Cunfu
Keyword(s):  
Wave Propagation ◽  
Elastic Plates

scholarly journals Analysis of Wave Propagation in Infinite Piezoelectric Plates

2005 ◽  
Vol 21 (2) ◽  
pp. 103-108 ◽  
Author(s):  
C. Y. Wu ◽  
J. S. Chang ◽  
K. C. Wu
Keyword(s):  
Wave Propagation ◽  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Low Frequency ◽  
Elastic Plates ◽  
Real Form ◽  
Long Wavelength ◽  
Anisotropic Elastic ◽  
Physical Quantities ◽  
Frequency Approximation

ABSTRACTAn analysis is presented for wave propagation in infinite homogeneous elastic plates of piezoelectric materials. The analysis is an extension to the work by Shuvalov [1] on wave propagation in general anisotropic elastic plates. A real form of dispersion equation is provided for a piezoelectric plate subjected to different boundary conditions on the plate surfaces. Perturbation theory [2] is exploited to obtain long-wavelength low-frequency approximation for physical quantities of wave propagation, including wave amplitude, stress, electric potential, electric displacement and velocity.

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