ASYMPTOTIC AND NUMERICAL ANALYSIS OF THE EIGENVALUE PROBLEM FOR A CLAMPED CYLINDRICAL SHELL

DOI10.1142/S0218202508003261zbMath1155.74025OpenAlexW2030425741MaRDI QIDQ5505852

Harri Hakula, Juhani Pitkäranta, Lourenco Beirão da Veiga

Publication date: 28 January 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508003261

zbMATH Keywords

finite element methodlockinglowest eigenvalues

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25)

Related Items (8)

On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity ⋮ A bilinear shell element based on a refined shallow shell model ⋮ Multiparametric shell eigenvalue problems ⋮ Numerical stability for a dynamic Naghdi shell ⋮ AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS ⋮ On effects of perforated domains on parameter-dependent free vibration ⋮ A non-standard finite element method for dynamical behavior of cylindrical classical shell model ⋮ On the asymptotic behaviour of shells of revolution in free vibration

Cites Work

• Scale resolution, locking, and high-order finite element modelling of shells
• Benchmark computations on point-loaded shallow shells: Fourier vs. FEM
• Asymptotic study of the solution for pinched cylindrical shells
• Shell deformation states and the finite element method: A benchmark study of cylindrical shells
• AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS
• Fourier mode analysis of layers in shallow shell deformations
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