Reduced-order models for large-amplitude vibrations of shells including in-plane inertia

DOI10.1016/J.CMA.2008.01.002zbMath1194.74148OpenAlexW2075447631MaRDI QIDQ995296

J. Martínez

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://hal-ensta-paris.archives-ouvertes.fr//hal-00838878/file/2008-CMAME_shellsNNMSc.pdf

zbMATH Keywords

model reductionnon-linear normal modesgeometrical non-linearityshell vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (12)

Periodic, quasi-periodic, and chaotic geometrically nonlinear forced vibrations of a shallow cantilever shell ⋮ Nonlinear Breathing Vibrations and Chaos of a Circular Truss Antenna with 1:2 Internal Resonance ⋮ An Upper bound for validity limits of asymptotic analytical approaches based on normal form theory ⋮ A study on data-driven identification and representation of nonlinear dynamical systems with a physics-integrated deep learning approach: Koopman operators and nonlinear normal modes ⋮ Free vibration and stability of an axially moving thin circular cylindrical shell using multiple scales method ⋮ Nonlinear frequency response analysis of structural vibrations ⋮ Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures ⋮ Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators ⋮ Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy ⋮ Modal reduction procedures for flexible multibody dynamics ⋮ Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models ⋮ Instability analysis of fluid-filled angle-ply laminated circular cylindrical shells subjected to harmonic axial loading

Uses Software

• AUTO

Cites Work

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