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Vol 52 Iss. 3
Pages:
115-123
Download volume:
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 forcedsymmetric vibrations of a thin hemisphere of radius R with a mass of M, rigidly fixed along the equator, under the action of a normal load of constant surface density P. The front of the load wave propagates at a constant velocity v. ...

Область исследования:
(Archived) Without section
Funding:

None

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References

  1. Watson G. N. Theory of Bessel Functions, pt. 1. IL, 1949 (in Russian)
  2. Vlasov V. Z. General Theory of Shells. Gostekhizdat, 1949 (in Russian)
  3. Gradshtein I. S., Ryzhik I. M. Tables of Integrals, Sums, Series and Products. Fizmatgiz, 1963 (in Russian)
  4. Bruijn N. G. Asymptotic Methods in Analysis. IL, 1961 (in Russian)
  5. Kazarinova N. N. On axisymmetric vibrations of a spherical shell and a body rigidly attached to it. Zapiski Gornogo Instituta, vol. XLVIII, issue 3, 1968 (in Russian)
  6. Kazarinova N. N. Calculation of the integral of the square of the Lagrange function. Zapiski Gornogo Instituta, vol. XLVIII, issue 3, 1968 (in Russian)
  7. Salekhov G. S. Calculation of Series. Gostekhizdat, 1955 (in Russian)
  8. Erdelyi A. Asymptotic Expansions. Fizmatgiz, 1962 (in Russian)

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