Rayleigh and Lamb wave resonances in a viscous elastic plate

1981 ◽  
Vol 69 (S1) ◽  
pp. S61-S61
Author(s):  
Ralph Fiorito ◽  
Walter Madigosky ◽  
Herbert Uberall
Keyword(s):  
Elastic Plate ◽  
Lamb Wave

Wave Propagation in a Micropolar Elastic Plate with Voids

2005 ◽  
Vol 11 (6) ◽  
pp. 849-863 ◽  
Author(s):  
S. K. Tomar
Keyword(s):  
Wave Propagation ◽  
Attenuation Coefficient ◽  
Elastic Material ◽  
Elastic Plate ◽  
Lamb Wave ◽  
Specific Model ◽  
Present Formulation ◽  
Numerical Computations ◽  
Lamb Wave Propagation ◽  
Symmetric And Antisymmetric Modes

Frequency equations are obtained for Rayleigh–Lamb wave propagation in a plate of micropolar elastic material with voids. The thickness of the plate is taken to be finite and the faces of the plate are assumed to be free from stresses. The frequency equations are obtained corresponding to symmetric and antisymmetric modes of vibrations of the plate, and some limiting cases of these equations are discussed. Numerical computations are made for a specific model to solve the frequency equations for symmetric and antisymmetric modes of propagation. It is found that both modes of vibrations are dispersive and the presence of voids has a negligible effect on these dispersion curves. However, the attenuation coefficient is found to be influenced by the presence of voids. The results of some earlier works are also deduced from the present formulation.

scholarly journals Lamb Wave Scattering Analysis for Interface Damage Detection between a Surface-Mounted Block and Elastic Plate

Sensors ◽  
2021 ◽  
Vol 21 (3) ◽  
pp. 860
Author(s):  
Mikhail V. Golub ◽  
Alisa N. Shpak ◽  
Inka Mueller ◽  
Sergey I. Fomenko ◽  
Claus-Peter Fritzen
Keyword(s):  
Damage Detection ◽  
Elastic Plate ◽  
Lamb Wave ◽  
Wave Scattering ◽  
Hybrid Approach ◽  
Guided Wave ◽  
Open Crack ◽  
Damage Indices ◽  
Impulse Function ◽  
Thin Walled

Since stringers are often applied in engineering constructions to improve thin-walled structures’ strength, methods for damage detection at the joints between the stringer and the thin-walled structure are necessary. A 2D mathematical model was employed to simulate Lamb wave excitation and sensing via rectangular piezoelectric-wafer active transducers mounted on the surface of an elastic plate with rectangular surface-bonded obstacles (stiffeners) with interface defects. The results of a 2D simulation using the finite element method and the semi-analytical hybrid approach were validated experimentally using laser Doppler vibrometry for fully bonded and semi-debonded rectangular obstacles. A numerical analysis of fundamental Lamb wave scattering via rectangular stiffeners in different bonding states is presented. Two kinds of interfacial defects between the stiffener and the plate are considered: the partial degradation of the adhesive at the interface and an open crack. Damage indices calculated using the data obtained from a sensor are analyzed numerically. The choice of an input impulse function applied at the piezoelectric actuator is discussed from the perspective of the development of guided-wave-based structural health monitoring techniques for damage detection.

scholarly journals Rayleigh and Lamb wave resonances in an elastic plate

1978 ◽  
Vol 64 (S1) ◽  
pp. S129-S130
Author(s):  
R. Fiorito ◽  
W. Madigosky ◽  
H. Überall
Keyword(s):  
Elastic Plate ◽  
Lamb Wave

Research on Elastic Scattered Wave of Submerged Elastic Plate

2013 ◽  
Vol 303-306 ◽  
pp. 2779-2783
Author(s):  
Wen Jian Chen ◽  
Hui Sun ◽  
Tie Lin Sun
Keyword(s):  
Elastic Scattering ◽  
Phase Velocity ◽  
Group Velocity ◽  
Elastic Plate ◽  
Lamb Wave ◽  
Arrival Time ◽  
Group Velocity Dispersion ◽  
Scattered Wave ◽  
Energy Propagation ◽  
Scattering Wave

It is proved by theory and experiment that the arrival time of elastic scattering wave is determined by group velocity of Lamb wave in plate and the speed of elastic scattering wave in water. The frequency dispersion equation of Lamb wave is derived for submerged elastic plate, and the phase velocity and group velocity dispersion curves are obtained by numerical calculation method. It is found that the phase velocity is greater or less than the group velocity at different frequency-thickness products. The energy propagation speed of wave is group velocity, so the arrival time of elastic scattering wave is determined by group velocity of Lamb wave in plate and the speed of sound in water. Experimental results show that elastic scattering wave is ahead of or behind the edge wave in echoes of elastic steel plate. The experiment results confirm validity of the theoretical analysis results.

Numerical Calculation for Complex Transcendental Equation

2012 ◽  
Vol 229-231 ◽  
pp. 1976-1979
Author(s):  
Tie Lin Sun ◽  
Hui Sun
Keyword(s):  
Numerical Calculation ◽  
Dispersion Equation ◽  
Elastic Plate ◽  
Fast Algorithm ◽  
Lamb Wave ◽  
Traditional Method ◽  
Wave Dispersion ◽  
Transcendental Equation ◽  
Fast Calculation

The traditional method to calculate complex transcendental equation is poor, which can't meet requirements of calculating imaginary answer and fast calculation at the same time. This paper proposes "modified dichotomy method" through modifying the classical dichotomy method to solve complex transcendental equation, that can not only calculates imaginary answer but also calculates fast. Algorithm is also verified through comparing with the answer to lamb wave dispersion equation in elastic plate.

scholarly journals Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate

1997 ◽  
Vol 19 (6) ◽  
pp. 533-537 ◽  
Author(s):  
L. J. Crane ◽  
M. D. Gilchrist ◽  
J. J. H. Miller
Keyword(s):  
Elastic Plate ◽  
Lamb Wave ◽  
Wave Scattering
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