Soviet Applied Mechanics

, Volume 4, Issue 11, pp 18–23 | Cite as

Orthogonality of the natural shell vibration modes within the limits of engineering moment theory

  • E. M. Vorob'eva


Vibration Mode Moment Theory Shell Vibration Natural Shell Natural Shell Vibration 
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Literature Cited

  1. 1.
    V. Z. Vlasov, Selected Works, Vol. 1 [in Russian], Izd-vo AN SSSR, Moscow (1962).Google Scholar
  2. 2.
    A. S. Vol'mir, Elastic Plates and Shells [in Russian], Gostekhteorizdat, Moscow (1956).Google Scholar
  3. 3.
    L. R. Koval and P. G. Bhuta, “Orthogonality condition for the exact linearized equations of shallow spherical shells,” Trans. ASME, Series E. Journal of Applied Mechanics, Vol. 3, No. 3 (1964).Google Scholar
  4. 4.
    P. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1, [Russian translation], Gostekhizdat, Moscow-Leningrad (1951).Google Scholar
  5. 5.
    F. K. Bogner and R. R. Archer, “On the orthogonality condition of axisymmetric vibration modes for shells of revolution,” Trans. ASME. Journal of Applied Mechanics, Vol. 32, No. 2 (1965).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • E. M. Vorob'eva

There are no affiliations available

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