Skip to main content
SpringerLink
Log in

Developments in the optical spatial filtering of superposed crossed gratings

Spatial-filtering techniques are used to obtain individually, as separate patterns in a simple and precise manner, the whole field of displacement components and of their time and space derivatives

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

It is shown in this paper how the whole field of displacement components and of their time and space derivatives (isothetics, isotachics and isoparagogics) can be obtained individually, as separate patterns in a simple and precise manner using spatial-filtering techniques. This result can be obtained even when crossed gratings are used on the deformed body. A method for achieving fringe multiplication in moiré patterns produced by superposed, crossed gratings is also demonstrated. It is also shown that displacement components and their time and space derivatives in directions diagonal to the crossed-grating lines can be obtained by proper handling of grating transparencies and spatial-filtering techniques. Hence, the moiré equivalent of a whole field of rosette-strain-gage measurements is obtained from a single photograph of a deformed crossed grating. A disk compressed between two wedges is used as an example. Important applications will be found in the fields of dynamics, nonlinear elasticity and plasticity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Durelli, A. J. and Parks, V. J., “Moiré Analysis of Strains,” Prentice-Hall, Inc. (1970).

  2. Post, D., “The Moiré Grid-analyzer Method for Strain Analysis,”Experimental Mechanics,5 (11),368–377 (1965).

    Article  Google Scholar 

  3. Parks, V. J., “The Moiré Grid-analyzer Method for Strain Analysis” (Discussion),Experimental Mechanics,6 (5),287–288 (1966).

    Article  Google Scholar 

  4. Meier, J. H., “Strain Rosettes,”Handbook of Experimental Stress Analysis, Hetényi, M., ed., John Wiley and Sons, Inc., N.Y. (1950).

    Google Scholar 

  5. Rogozinski, “An attempt to establish the theoretical foundations of the moiré method of strain and stress analysis,”Archiwun Mechaniki Stosovanej,9 (2),191–206 (1957).

    MATH  MathSciNet  Google Scholar 

  6. Dantu, P., “Utilisation des réseaux pour, l'étude de déformations,”Ann. Inst. Techn. Batiment Trav. Publ.,11 (121),87s-89s (1958).

    Google Scholar 

  7. Fidler, R., Law, I. andNurse, P., “Triangular and501-1 Gratings for the Moiré Technique,”Strain,6 (3),111–114 (July 1970).

    Google Scholar 

  8. de Haas, Jr. H. M. andLoof, Jr. H. W., “An Optical Method to Facilitate the Interpretation of Moiré Pictures,”VDI-Berichte, Nr 102, 65–70 (1966).

    Google Scholar 

  9. Sciammarella, C. A. andSturgeon, D., “Substantial Improvements in the Processing of Moiré Data by Optical and Digital Filtering,”VDI-Berichte, Nr 102, 71–74 (1966).

    Google Scholar 

  10. Holister, G. S., “Moiré Method of Surface Strain Measurement,”The Engineer,223,149–152 (1967).

    Google Scholar 

  11. Post, Daniel, “New Optical Methods of Moiré-fringe Multiplication,”Experimental Mechanics,8 (2),63–68 (1968).

    Article  Google Scholar 

  12. Beranek, W. J., “Rapid Interpretation of Moiré Photographs,”Experimental Mechanics,8 (6),249–256 (1968).

    Article  Google Scholar 

  13. Clark, J. A. andDurelli, A. J., “Separation of Additive and Subtractive Moiré Patterns,”Trans. ASME, Jnl. of Applied Mech.,38, (E, 1),266–269 (1971).

    Google Scholar 

  14. Chiang, F., “Techniques of Optical Spatial Filtering Applied to the Processing of Moiré-fringe Patterns,”Experimental mechanics,9 (11),523–526 (1969).

    Article  Google Scholar 

  15. Sciammarella, C. A., Di Chirico, G. andChang, T-Y, “Moiré-Holographic Technique for Three-Dimensional Stress Analysis,”Trans. ASME, J. Applied Mechs. Series E. 37 (1),180–185 (March 1970).

    Google Scholar 

  16. Chiang, F., “Moiré-Rosette Method for Strain Analysis,”Journ. of Eng. Mechs. Div., ASCE,96 (EM6),1285–1289 (1970).

    Google Scholar 

  17. Durelli, A. J. andParks, V. J., “Moiré Fringes as Parametric Curves,”Experimental Mechanics,7 (3),97–104 (1967).

    Article  Google Scholar 

  18. Parks, V. J. andDurelli, A. J., “Moiré Patterns of Partial Derivatives of Displacement Components,”Trans. ASME, Jnl. Appl. Mech.,33 (4),901–906 (1966).

    Google Scholar 

  19. Durelli, A. J., “Visual Representation of the Kinematics of the Continuum,”Experimental Mechanics,6 (3),113–139 (1966).

    Article  Google Scholar 

  20. Guild, J., The Interference Systems of Crossed Diffraction Gratings, Clarendon Press, Oxford (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Civil and Mechanical Engineering Department, Catholic University of America, 20017, Washington, D.C.

    A. J. Durelli (Professor) & N. A. Chichenev (Research Associate)

  2. Moscow Steel and Alloys Institute, Moscow, U.S.S.R.

    J. A. Clark (Associate Professor)

Authors
  1. A. J. Durelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. A. Chichenev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. A. Clark
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Durelli, A.J., Chichenev, N.A. & Clark, J.A. Developments in the optical spatial filtering of superposed crossed gratings. Experimental Mechanics 12, 496–501 (1972). https://doi.org/10.1007/BF02320745

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02320745

Keywords

Search

Navigation