Full text: Photogrammetry for industry

decreasing as we approach the trailing edge, 
where the difference between the experimentally 
determined displacements from holograms and 
those obtained from finite element analysis of 
the airfoil reaches 20%. 
In the second phase of the study, deflections 
of airfoil No. I due to torsional load were 
studied. A typical fringe pattern, obtained 
during reconstruction of a hologram recording 
deflections of airfoil No. 1 due to losd in- 
crease of 11.7 in-ibs is shown in Fig. 10. 
Again, a series of double-exposure holograms 
were recorded, one for each increment in tor- 
sional loading, and every hologram was ana- 
lyzed using the least-squares method as des- 
cribed above. The experimental results ob- 
tained from holograms are presented in Figs 
ll and 12; in these figures, the coordinates 
of the airfoil were nondimensionalized with 
respect to the local cord. Results of Figs. 
11 and 12 clearly show that the maximum dis- 
placements, for a torsion load applied at tip 
of the blade, occured at the leading edge. 
Unfortunately, there were no corresponding 
results from the finite element analysis of 
the airfoil available for the comparison. 
Finally, airfoil No.2 was subjected to simi- 
lar loading conditions as those exerted upon 
airfoil No. 1, and Figs 13 and 14 show typi- 
cal fringe patterns obtained during recon- 
structions of the corresponding holograms. 
In particular, Fig. 13 represents airfoil No. 
2 acted upon by a tensión load whereas Fig. 
14 shows the same airfoil in torsion.  Care- 
ful examination of these figures reveals an 
abrupt change in fringe pattern in the root 
area of the blade, indicating high stress 
concentrations and a possible failure, at 
that place, while in operation. This obser- 
vation necessitates further investigation of 
airfoil deflections due to different loads in 
order to improve the design and, therefore, 
to eliminate conditions welcoming failure. 
Based on the results presented in this paper, 
one can clearly see that the holographic meth- 
od of airfoil analysis is a very useful tech- 
nique for accurate and precise studies of air- 
foll deflections. Holography is complementa- 
ry to the finite element technige because it 
uses an actual object with the entire spec- 
trum of its characteristics, whereas the the- 
oretical method greatly relies on the accuracy 
of the input parameters such as: geometry, 
material properties, loading conditions, bound- 
ary conditions, etc. characterizing the stud- 
led airfoil. Furthermore, finite element 
analysis could not be run without the input of 
boundary conditions from holographic analysis 
of the tested airfoil which were supplied, in 
this study, from data obtained at level 26, 
see Fig. 8. As such, hologram interferometry 
constitutes a powerful tool for analysis of 
airfoils and other jet engine components, 
heretofore unobtainable using other techniques. 
REFERENCES 
i. Dhir, S. K., and Sikora, J. B., "in im 
proved Method for Obtaining the General- 
Displacement Field from Holographic In- 
terferogram," Exp. Mech., 12:323-327 (1972). 
25 
Seiammarella, C. A., and Gilbert, J. A., 
"Strain Analysis of a Disk Subjected to 
Diametral Compression by Means of Holo- 
graphic Interferometry," Appl. Opt., 12: 
1951-1956 (1973). 
Pryputniewicz, R. J., "Holographic Analysis 
of Body Deformations," Ph. D. Dissertation, 
University of Connecticut (1976). 
Pryputniewicz, R. J., and Bowley, W. W., 
"Techniques of Holographic Displacement 
Measurement: an Experimental Comparison," 
Appi. Opt., 17:000-000 (1978). 
Pryputniewicz, R. J., "Determination of the 
Sensitivity Vectors Directly from Holograms," 
J. Opt. $00. 4m., 67:1351-1353 (1971). 
Stetson, K. A., "Fringe Interpretation for 
Hologram Interferometry of Rigid-Body Mo- 
tions and Homogeneous Deformations," J. Opt. 
Soc. Am., 6H:1-10 (1974). 
 
	        
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