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