Reflection and scatter of acoustic waves from a thin, rough elastic plate on the surface of a fluid: Theory and experiment

1990 ◽  
Vol 88 (4) ◽  
pp. 2021-2024 ◽  
Author(s):  
Ivan Tolstoy ◽  
Orest I. Diachok
1977 ◽  
Vol 19 (6) ◽  
pp. 237-242 ◽  
Author(s):  
D. J. Williams

When a pipe can move, waterhammer effects are altered by the existence of precursor waves, i.e. longitudinal elastic strain waves in the pipe walls, modified by the presence of the fluid. Theory and experiment show that precursor waves cannot be ignored, if the effect of longitudinal strain is to be considered; conventional waterhammer theory is thus unsatisfactory. Flexural waves may also occur. It was found experimentally that pipe motion caused mechanical damping of the waterhammer–greater than the viscous damping. Viscoelastic piping also gave rise to strong mechanical damping, even without pipe motion.


A thin elastic plate of finite width is irradiated by time-harmonic acoustic waves. The fluid is assumed light compared with the plate mass, and the forcing term is of sufficient amplitude to necessitate the inclusion of a nonlinear term (due to mid-plane stretching) in the plate equation. The order-one scattered field is determined by the method of multiple scales when the forcing frequency approaches a free oscillation frequency (eigenfrequency) of the plate. This solution is shown to agree with previous work, for the linear problem, and can be multivalued for particular values of the plate-fluid parameters. The scattered wave may also exhibit jumps in its amplitude and phase angle as it varies with frequency, incident-wave angle or incident-wave amplitude. The non-linear term further allows the possibility of secondary and combination resonances. These are investigated and the scattered field is shown to contain terms of different frequencies to those of the incident waves. Multivalued solutions and the associated jump phenomenon are again found for these resonant cases.


1979 ◽  
Vol 66 (6) ◽  
pp. 1857-1866 ◽  
Author(s):  
Ralph Fiorito ◽  
Walter Madigosky ◽  
Herbert Überall

1996 ◽  
Vol 100 (3) ◽  
pp. 1538-1541 ◽  
Author(s):  
A. Mourad ◽  
C. Desmet ◽  
W. Lauriks ◽  
H. Coufal ◽  
J. Thoen

2011 ◽  
Vol 694 ◽  
pp. 923-927 ◽  
Author(s):  
Qing Yong Sun ◽  
Hong Yu Xu ◽  
Bin Liang

Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of three kinds of micropolar elastic waves, which are longitudinal displacement wave and two coupled waves, were studied when incident longitudinal displacement wave propagated in micropolar fluid with micropolar elastic plate. Using numerical example, the variations of various amplitudes are also shown against the angle of incidence and the variation characteristics of various amplitudes are discussed. Results show that there exist maximum values of reflection and transmission coefficient for coupled wave, however, there exist minimum values of reflection coefficient for longitudinal displacement wave, and transmission coefficient decreases with the incident angle and the transmission coefficient are smaller for bigger incident angle.


1997 ◽  
Vol 78 (15) ◽  
pp. 2987-2990 ◽  
Author(s):  
Wing Yim Tam ◽  
Guang Hua Yi ◽  
Weijia Wen ◽  
Hongru Ma ◽  
M. M. T. Loy ◽  
...  

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