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Vol 52 Iss. 3
Pages:
115-123
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RUS
Article

Forced oscillations of a thin hemisphere with a mass rigidly fixed along the equator

Authors:
N. N. Kazarinova
Date submitted:
1973-09-26
Date accepted:
1973-11-19
Date published:
1974-03-14

Abstract

Let us consider the problem of forced symmetrical oscillations of a thin hemisphere of radius R with a mass of M, rigidly fixed along the equator, under the influence of a normal load of constant surface density R. The front of the load wave propagates at a constant velocity ѵ...

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References

  1. Watson G. N. Theory of Bessel functions, part 1. FL., 1949.
  2. Vlasov V. Z. General theory of shells. Gostekhizdat, 1949.
  3. Gradstein I. S., Ryzhik I. M. Tables of integrals, sums, series and products. Fizmatgiz, 1963.
  4. Brain N. G. Asymptotic methods in analysis. FL, 1961.
  5. Kazarinova N. N. On axisymmetric vibrations of a spherical shell and a body rigidly attached to it. J. LMI, vol. XLVIII, issue 3, 1968.
  6. Kazarinova N. N. Calculation of the integral of the square of the Lagrange function. J. LMI, vol. XLVIII, issue 3, 1968.
  7. Salekhov G. S. Calculation of series. Gostekhizdat, 1955.
  8. Erdein A. Asymptotic decompositions. Fizmatgiz, 1962.

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