The post-processed Galerkin method applied to non-linear shell vibrations

DOI10.1080/026811199282047zbMath0942.74079OpenAlexW1564341447MaRDI QIDQ4257743

Carlo R. Laing, J. M. T. Thompson, Allan McRobie

Publication date: 21 August 2000

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/026811199282047

zbMATH Keywords

finite differencessystem decompositionslow systemnonlinear von Kármán equationspost-processed Galerkin methodquick systemthin cylindrical paneltransverse point load

Mathematics Subject Classification ID

Related Items (8)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials ⋮ Nonlinear dynamics of mechanical systems under complicated forcing ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ Noise-induced stabilization of bumps in systems with long-range spatial coupling ⋮ Model reduction on inertial manifolds for N-S equations approached by multilevel finite element method ⋮ Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear Galerkin methods: The finite elements case
• A bifurcation analysis of the dynamics of a simplified shell model
• On the effectiveness of the approximate inertial manifold -- a computational study
• Determining nodes, finite difference schemes and inertial manifolds
• Inertial Manifolds and Multigrid Methods
• Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
• Nonlinear Galerkin Methods
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• NUMERICAL DIMENSION-REDUCTION METHODS FOR NON-LINEAR SHELL VIBRATIONS

This page was built for publication: The post-processed Galerkin method applied to non-linear shell vibrations