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Asymptotic formula for the natural frequencies of noncircular cylindrical fluid-filled shells

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Publication:1161339
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DOI10.1016/0021-8928(81)90021-6zbMath0478.73042OpenAlexW2070993838MaRDI QIDQ1161339

E. A. Dain

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90021-6

zbMATH Keywords

rapidly oscillating functionsdifferent kinds of state of stressexact asymptotic formulaquasi-transverse state of stressspectrum dissociates asymptotically into four series


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Membranes (74K15)




Cites Work

  • Pseudo‐differential operators
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