OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 17, Iss. 23 — Dec. 1, 1978
  • pp: 3713–3721

Analysis of 3-D vibrations from time-averaged holograms

Renzo Tonin and David Alan Bies  »View Author Affiliations

Applied Optics, Vol. 17, Issue 23, pp. 3713-3721 (1978)

View Full Text Article

Enhanced HTML    Acrobat PDF (1033 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In a previous paper [ Tonin R. Bies D. A. , J. Sound Vib. 52 (3), 315 (1977)] the theory of time-averaged holographic interferometry was extended to include simple harmonic motion in three orthogonal directions at a single frequency. The amended characteristic function formula was used to calculate the radial and tangential components of a vibrating cylinder by first determining the radial component and from this the tangential component of vibration. In this paper the analysis of the previous paper is improved by making use of a technique originally introduced for the investigation of static deflection using time-averaged holography [ Dhir S. K. Sikora J. P. , Exp. Mech. 12 (7), 323 (1972)]. The improved procedure allows simultaneous determination of all vibration amplitude components. The procedure is used for the investigation of the low order resonant vibration modes of four cylinders of various sizes and materials with shear-diaphragm end conditions with good results. The procedure is quite general in its application and not restricted to the study of cylinders. It lends itself easily to the study of coupled-mode vibration problems and in fact many complex resonance phenomena.

© 1978 Optical Society of America

Original Manuscript: June 2, 1977
Published: December 1, 1978

Renzo Tonin and David Alan Bies, "Analysis of 3-D vibrations from time-averaged holograms," Appl. Opt. 17, 3713-3721 (1978)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. M. Brown, M. Grant, G. W. Stroke, J. Acoust. Soc. Am. 45, 1166 (1969). [CrossRef]
  2. P. C. Gupta, K. Singh, Indian J. Pure Appl. Phys. 14, 367 (1976).
  3. K. A. Stetson, J. Opt. Soc. Am. 62, 297 (1972). [CrossRef]
  4. P. C. Gupta, K. Singh, Appl. Opt. 14, 129 (1975). [PubMed]
  5. C. S. Vikram, R. S. Sirohi, Phys. Lett. A 35, 460 (1971). [CrossRef]
  6. C. S. Vikram, Opt. Commun. 8, 355 (1973). [CrossRef]
  7. C. S. Vikram, Phys. Lett. A 45, 426 (1973). [CrossRef]
  8. C. S. Vikram, Opt. Commun. 10, 290 (1974). [CrossRef]
  9. C. S. Vikram, Gouranga Bose, Optik 43, 253 (1975).
  10. A. D. Wilson, D. H. Strope, J. Opt. Soc. Am. 60, 1162 (1970). [CrossRef]
  11. A. D. Wilson, J. Opt. Soc. Am. 61, 924 (1971). [CrossRef]
  12. C. S. Vikram, Optik 43, 65 (1975).
  13. C. S. Vikram, Opt. Commun. 11, 360 (1974). [CrossRef]
  14. N. E. Molin, K. A. Stetson, J. Phys. E. 2, 609 (1969). [CrossRef]
  15. M. Zambuto, M. Lurie, Appl. Opt. 9, 2066 (1970). [CrossRef] [PubMed]
  16. W. J. Dallas, A. W. Lohmann, Opt. Commun. 13, 134 (1975). [CrossRef]
  17. K. A. Stetson, J. Opt. Soc. Am. 61, 1359 (1971). [CrossRef]
  18. C. S. Vikram, Optik 45, 55 (1976).
  19. R. Tonin, D. A. Bies, J. Sound Vib. 52 (3), 315 (1977). [CrossRef]
  20. S. K. Dhir, J. P. Sikora, Exp. Mech. 12(7), 323 (1972). [CrossRef]
  21. P. A. Tuschak, R. A. Allaire, Exp. Mech. 15, 81 (March1975). [CrossRef]
  22. R. A. Buckingham, Numerical Methods (Pitman Press, New York, 1962), p. 301.
  23. D. P. Bartlett, The Method of Least Squares (Rumford Press, Concord, N.H., 1915), p. 63.
  24. A. W. Leissa, “Vibration of Shells,” NASA-SP288 (U.S. Govt. Printing Office, Washington, D.C., 1973), Chap. 2.
  25. R. K. Erf, Ed., Holographic Nondestructive Testing (Academic, New York, 1974), p. 202.
  26. This method was suggested to one of the authors (D.A.B.) by I. Rudnick at U. California at Los Angeles.
  27. R. Pryputniewicz, K. A. Stetson, Appl. Opt. 15(3), 725 (1976). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited