Axisymmetric oscillations of a cupola-shaped shell

DOI10.1007/s10665-010-9372-1zbMath1310.74026OpenAlexW2090593391MaRDI QIDQ718938

Yuriy Trotsenko, Volodymyr Trotsenko, Martin Hermann, Alexander Timokha, Ivan P. Gavrilyuk

Publication date: 27 September 2011

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-010-9372-1

zbMATH Keywords

Ritz methodaxisymmetric eigenoscillationsboundary-layer behaviorthin-walled cupola-shaped shell

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25)

Related Items (2)

Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution ⋮ On the construction of coordinate functions for the Ritz method in the numerical analysis of nonaxially symmetric eigenoscillations of a dome-shaped shell of revolution

Cites Work

• Vibration analysis of solid ellipsoids and hollow ellipsoidal shells of revolution with variable thickness from a three-dimensional theory
• On the asymptotic behaviour of shells of revolution in free vibration
• Three-dimensional vibrations of thick spherical shell segments with variable thickness
• Three-dimensional vibration analysis of thick hyperboloidal shells of revolution
• Solution of a Problem of Free Vibrations of a Nonclosed Shell of Revolution under Conditions of its Singular Perturbation
• Three-Dimensional Vibration Analysis of Thick, Complete Conical Shells
• Dynamic deformations of thin spherical shells based on analytical solutions
• On Gegenbauer transforms and forced torsional vibrations of thin spherical shells
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