Abstract
Deflection is recorded at different sensilivities over a limited portion of the holographic range by introducing equal but opposite phase changes into the holograms created by a dual-beam illumination. The technique does not require a partially reflecting mirror, patterns can be optically filtered for better fringe contrast and in-plane displacement can be recorded without making any modifications in the experimental setup. Results obtained from two-and three-dimensional surfaces agree well with theory and verify analytical arguments presented throughout the paper.
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Abbreviations
- d:
-
displacement vector
- d 1 :
-
inner diameter of pipe
- d o :
-
outer diameter of pipe
- ê1 :
-
unit vector in direction of propagation
- n i :
-
fringe order number
- r, θ, Z :
-
polar coordinates
- C :
-
center of rotation
- D :
-
distance between model and photographic plate
- E :
-
elastic modulus
- L :
-
length of pipe
- M 1 :
-
applied torque
- P :
-
object point
- R :
-
radius of disk
- U, V, W :
-
scalar components of displacement
- X, Y, Z :
-
cartesian coordinates
- Z c :
-
distance between photographic plate and rotation center
- α:
-
sensitivity angle
- β:
-
angle of rotation
- δ:
-
fringe spacing
- θ R :
-
reference-beam angle
- λ:
-
wavelength
- ν :
-
Poisson's ratio
- ξ:
-
radial coordinate
- Φ p :
-
induced phase change
References
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Gilbert, J.A., Herrick, J.W. Dual-beam holographic deflection measurement. Experimental Mechanics 21, 349–354 (1981). https://doi.org/10.1007/BF02326235
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DOI: https://doi.org/10.1007/BF02326235