Abstract
The fundamental anti-symmetric Lamb mode (Ao) radiation characteristics of air-coupled transducers in isotropic (aluminium) plates were measured experimentally for the first time. To evaluate the radiation characteristics, experiments were performed by fixing the position of one of the transducers (either transmitter or receiver) and then moving other one (either receiver or transmitter) along the circumference of a circle, whose radius was equal to that of the distance of separation between the transducers. Experiments were conducted to evaluate the radiation pattern of 100 kHz, 200 kHz and 500 kHz air-coupled transducers in one mm and three mm thick aluminium plates. It is interesting to note that, Ao Lamb mode radiation pattern emitted by air-coupled transducers in isotropic plates is characterised by Gaussian curve.
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Abbreviations
- θ :
-
orientation of air-coupled probe
- ϕ :
-
direction of propagation of Ao mode or direction of radiation
- V air :
-
acoustic wave velocity in air
- V p :
-
phase velocity of Lamb mode
- 2h :
-
plate thickness
- d :
-
distance of separation between transmitter and receiver
- f :
-
frequency of excitation
- ω :
-
circular frequency
- k :
-
wavenumber
- C L :
-
longitudinal wave velocity
- C T :
-
shear wave velocity
- A(r, t):
-
amplitude of Lamb wave at distance r and time t
- A s (ϕ):
-
amplitude at source in ϕ direction
- A max (r, ϕ):
-
peak amplitude at distance r from source in ϕ direction
- f(t):
-
amplitude of signal in time domain
- τ :
-
time
- H(t):
-
imaginary part of Hilbert Transform
- F(t):
-
Hilbert Transform
- E(t):
-
amplitude of F(t)
- E max :
-
peak of the transformed signal
- E max ϕ :
-
peak of the transformed signal, which was captured in ϕ direction
- e(ϕ):
-
normalized amplitude
- a, b and c :
-
parameters in Gaussian distribution
- R 2 :
-
goodness-of-fit
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Chennamsetti, R., Khan, I. Ao lamb mode radiation characteristics of air-coupled transducers in isotropic plates. Int. J. Precis. Eng. Manuf. 16, 121–125 (2015). https://doi.org/10.1007/s12541-015-0015-3
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DOI: https://doi.org/10.1007/s12541-015-0015-3