On the density of the vibration frequencies of thin shells of revolution. PMM vol. 36, n{ring equal to}2, 1972, pp. 291-300

P. E. Tovstik

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3 Scopus citations

Abstract

Thin shells of revolution, closed in the circumferential direction, and with an arbitrary meridian shape, are considered. The density of the vibration frequencies is determined by using an asymptotic method of integration [1 - 3]. The density of the frequencies in the neighborhoods of condensation points is investigated. The question of the density of vibration frequencies of thin shells has been examined in [4 - 7]. Shallow shells of rectangular planform were examined in [4, 5].

Original languageEnglish
Pages (from-to)270-278
Number of pages9
JournalJournal of Applied Mathematics and Mechanics
Volume36
Issue number2
DOIs
StatePublished - 1972

Scopus subject areas

  • Modelling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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