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Vol 48 Iss. 3
Pages:
76-80
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RUS
Article

Axisymmetric oscillations of a spherical shell and a rigidly bound body

Authors:
N. N. Kazarinova
Date submitted:
1967-09-12
Date accepted:
1967-11-11
Date published:
1968-07-02

Abstract

Consider the problem of calculating the natural frequencies of axisymmetric oscillations of a thin hemisphere of radius R with mass M, rigidly fixed at the equator. The system of equations in displacements describing the oscillations of the shell element has the form...

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References

  1. Vlasov V. Z. General Theory of Shells. Gostekhizdat, 1949.
  2. Gradstein I. S., Ryzhik I. M. Tables of integrals, sums, series and products. Fizmatgiz, 1962.
  3. Tovstik P. E. Free vibrations of a thin spherical dome. Proc. AS USSR, Mechanics, No. 6, 1965.

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