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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 25 — Sep. 1, 2001
  • pp: 4514–4518

Simple Method for Direct Determination of Bending Strains by Use of Digital Holography

Michael Y. Y. Hung, L. Lin, and Huai M. Shang  »View Author Affiliations


Applied Optics, Vol. 40, Issue 25, pp. 4514-4518 (2001)
http://dx.doi.org/10.1364/AO.40.004514


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Abstract

A computer-based technique is described for direct determination of bending strains in beam and plate structures. First a displacement-related phase-change map is constructed by digital holography and computer-vision techniques. Subsequently the computer generates an exact replica of the phase-change map, then overlays the two identical maps and, finally, rotates one of the maps through 180° relative to the other in their planes about a point of interest. The local curvatures and the local twist of the bent surface at the point of interest are determined from the conic sections that are reconstructed from the algebraic sum of the phase changes at the vicinity of this point, thus permitting further calculation for determination of the local bending strains. When the need arises, bending moments and stresses may be determined concurrently. As the optical setup is simple, with computer-based data acquisition and processing, the entire system is user friendly, and rapid measurement is achieved.

© 2001 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

Citation
Michael Y. Y. Hung, L. Lin, and Huai M. Shang, "Simple Method for Direct Determination of Bending Strains by Use of Digital Holography," Appl. Opt. 40, 4514-4518 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-25-4514


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References

  1. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959).
  2. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  3. D. Post, “The moire grid-analyzer method for strain analysis,” Exp. Mech. 5, 368–377 (1965).
  4. K. A. Stetson, “Moire method for determining bending moments from hologram interferometry,” Opt. Laser Technol. 2, 80–84 (1970).
  5. Y. Y. Hung, S. K. Cheng, and N. K. Loh, “A computer vision technique for surface gaging with projected grating,” IEEE Trans. Indust. Electron. IE-32, 156–161 (1986).
  6. Y. Y. Hung, “Three-dimensional computer vision techniques for full-field surface shape measurement and surface flaw inspection,” in 1992 SAE International Congress and Exposition, Detroit, 24–28 February 24–28 1992 (Society of Automotive Engineers, Warrendale, Pa. 15096), Paper 920246.
  7. W. W. Macy, “Two-dimensional fringe pattern analysis,” Appl. Opt. 22, 3898–3901 (1983).

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