Large free vibration of thin plates: Hierarchic finite element method and asymptotic linearization

DOI10.1016/j.euromechsol.2008.04.002zbMath1155.74362OpenAlexW2040689681MaRDI QIDQ1005355

M. Taazount, A. Zinai, Amar Bouazzouni

Publication date: 9 March 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.04.002

zbMATH Keywords

nonlinear dynamicsequivalent linearizationasymptotic linearizationequivalent linear dynamical systemHFEM

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

An inverse approach in obtaining shape functions for a superconvergent thin plate element

Cites Work

• A new formulation for the existence and calculation of nonlinear normal modes
• A FINITE ELEMENT TIME DOMAIN MODAL FORMULATION FOR LARGE AMPLITUDE FREE VIBRATIONS OF BEAMS AND PLATES
• Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation
• Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates
• Unnamed Item

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