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Distortion of the sinusoidalness of the forms of vibrations of systems with a disturbed rotary symmetry and the mode localization phenomenon. Report 1

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Abstract

An analysis is made of data available in the literature on investigation of the distortion of the sinusoidalness of the forms of vibration and the mode localization phenomenon of systems with disturbed rotary symmetry. The results are given of a calculational experiment on determination of the influence of the amount of elastic coherence of subsystems and detuning of their frequencies to distortion of the sinusoidalness of the forms of vibrations of the systems considered.

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References

  1. V. P. Ivanov, Vibrations of Turbomachinery Rotors [in Russian], Mashinostroenie, Moscow (1983).

    Google Scholar 

  2. A. S. Serdotetskii, The Spread in Resonant Stresses in Turbomachinery Blade Rings [in Russian], Kuibyshev (1978), Deposited in the All-Union Institute for Scientific and Technical Information, July 27, 1978, No. 2825.

  3. V. V. Matveev, A. P. Zin'kovskii, and M. V. Smertyuk, “The boundaries of applicability of the model of pair forms in investigation of vibrations of rotary symmetic systems,” Probl. Prochn., No. 5, 106–109 (1990).

    Google Scholar 

  4. D. J. Ewins, “Bladed disk vibration — a review of techniques and characteristics,” Recent Advances in Structural Dynamics. Papers of the International Conference (Southampton, 1980), Vol. 1 (1980), pp. 187–210.

    Google Scholar 

  5. P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev.,109, No. 5, 1492–1505 (1958).

    Google Scholar 

  6. C. H. Hodges, “Confinement of vibration by structural irregularity,” J. Sound Vibr.,82, No. 3, 411–424 (1982).

    Google Scholar 

  7. C. H. Hodges and J. Woodhouse, “Vibration isolation from irregularity in a nearly periodic structure: theory and measurements,” J. Acoust. Soc. Am.,74, No. 3, 894–905 (1983).

    Google Scholar 

  8. C. Pierre and E. N. Dowell, “Localization of vibration by structural irregularity,” J. Sound Vibr.,114, No. 3, 549–564 (1987).

    Google Scholar 

  9. C. Pierre, “Mode localization and eigenvalue loci veering phenomena in disordered structures,” ibid.,126, No. 3, 485–502 (1988).

    Google Scholar 

  10. N. A. Valero and O. O. Bendiksen, “Vibration characteristics of mistuned shrouded blade assemblies,” J. Eng. Gas Turb. Power,108, No. 2, 293–299 (1986).

    Google Scholar 

  11. O. O. Bendiksen, “Mode localization phenomena in large space structures,” AIAA J.,25, No. 9, 1241–1248 (1987).

    Google Scholar 

  12. D. Afolabi, “A note on the torque failure of turbine blades,” J. Sound Vibr.,122, No. 3, 535–545 (1988).

    Google Scholar 

  13. S. T. Wei and C. Pierre, “Localization phenomena in mistuned assemblies with cyclic symmetry. Pt. 1: Free vibrations,” J. Vibr. Acoust., Stress Reliab. Des.,110, No. 4, 429–438 (1988).

    Google Scholar 

  14. S. T. Wei and C. Pierre, “Localization phenomena in mistuned assemblies with cyclic symmetry. Pt. 2: Forced vibrations,” ibid., 439–449.

    Google Scholar 

  15. P. J. Cornwell and O. O. Bendiksen, “Localization of vibrations in large space reflectors,” AIAA J.,27, No. 2, 219–226 (1989).

    Google Scholar 

  16. S. P. Strelkov, An Introduction to the Theory of Vibrations [in Russian], Gostekhteoretizdat, Moscow and Leningrad (1951).

    Google Scholar 

  17. C. Pierre and D. D. Cha, “Strong mode localization in nearly periodic disordered structures,” AIAA J.,27, No. 2, 227–241 (1989).

    Google Scholar 

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Translated from Problemy Prochnosti, No. 10, pp. 45–52, October, 1992.

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Zin'kovskii, A.P. Distortion of the sinusoidalness of the forms of vibrations of systems with a disturbed rotary symmetry and the mode localization phenomenon. Report 1. Strength Mater 24, 613–620 (1992). https://doi.org/10.1007/BF00767878

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  • DOI: https://doi.org/10.1007/BF00767878

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