Soviet Applied Mechanics

, Volume 16, Issue 1, pp 1–5 | Cite as

Analysis of frequency spectrum and vibrational modes of long cylinders

  • V. T. Grinchenko
  • G. L. Komissarova


Frequency Spectrum Vibrational Mode 
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Literature Cited

  1. 1.
    V. T. Grinchenko, “Characteristics of dynamic deformation of extended cylinders and plates in the high-frequency region,” Prikl. Mekh.,13, No. 10, 43 (1977).Google Scholar
  2. 2.
    V. T. Grinchenko, Equilibrium and Steady Vibrations of Finite-Sized Elastic Bodies [in Russian], Naukova Dumka, Kiev (1978), p. 264.Google Scholar
  3. 3.
    V. T. Grinchenko and G. L. Komissarova, “Natural frequencies of an axisymmetrically vibrating thick circular plate,” Prikl. Mekh.,10, No. 11, 81 (1974).Google Scholar
  4. 4.
    V. T. Grinchenko and A. F. Ulitko, “Analysis of the dynamic stress and frequency characteristics of a circular plate within the framework of three-dimensional elasticity theory,” in: The Theory of Shells and Plates, Proc. of Eighth All-Union Conf. on the Theory of Shells and Plates, Rostov-on-Don, 1971, [in Russian], Nauka, Moscow (1973), pp. 436–442.Google Scholar
  5. 3.
    T. R. Meeker and A. H. Meitzler “Guided wave propagation in elongated cylinders and plates,” in: Physical Acoustics, Vol. 1A, W. P. Mason, Editor, Academic Press, New York (1964).Google Scholar
  6. 6.
    R. E. Booker and R. H. Sagar, “Velocity dispersion of the lowest-order longitudinal mode in finite rods of circular cross section,” J. Acoust. Soc. Am.49, No. 5, 1491 (1971).Google Scholar
  7. 7.
    J. R. Hutchinson, “Axisymmetric vibrations of a free finite-length rod,” J. Acoust. Soc. Am.,51, No. 1, 233 (1972).Google Scholar
  8. 8.
    S. Ikegami, I. Ueda, and S. Kobayashi, “Frequency spectra of resonant vibration in diskplates of PbTiO3 piezoelectric ceramics,” J. Acoust. Soc. Am.,55, No. 2, 339 (1974).Google Scholar
  9. 9.
    R. D. Mindlin and H. D. McNiven, “Axially symmetric waves in elastic rods,” Trans. ASME,82, No. 1, 145 (1960).Google Scholar
  10. 10.
    H. D. McNiven and D. C. Perry, “Axially symmetric waves in finite elastic rods,” J. Acoust. Soc. Am.,34, No. 4, 433 (1962).Google Scholar
  11. 11.
    W. Soedel and M. Dhar, “Difficulties in finding modes experimentally when several contribute to a resonance,” J. Sound Vibration,58, No. 1, 27 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. T. Grinchenko
  • G. L. Komissarova

There are no affiliations available

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