Free vibrations for some Koiter shells of revolution

DOI10.1016/j.aml.2007.10.030zbMath1263.74036OpenAlexW2010881750MaRDI QIDQ847380

Harri Hakula, Edoardo Artioli, Carlo Lovadina, Lourenco Beirão da Veiga

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.030

zbMATH Keywords

Sobolev spaceseigenvalue problemselastic energyinterpolation theoryshells of revolution

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items (5)

Multiparametric shell eigenvalue problems ⋮ Natural frequency analysis of shells of revolution based on hybrid dual-mixed \(hp\)-finite element formulation ⋮ On effects of perforated domains on parameter-dependent free vibration ⋮ Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models ⋮ On the asymptotic behaviour of shells of revolution in free vibration

Cites Work

• On the asymptotic behaviour of shells of revolution in free vibration
• The generalized membrane problem for linearly elastic shells with hyperbolic or parabolic middle surface
• On the ellipticity of linear membrane shell equations
• Asymptotics of shell eigenvalue problems
• Entropy Numbers and Approximation Numbers in Function Spaces, II
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