Model reduction and perturbation analysis of wave finite element formulations for computing the forced response of coupled elastic systems involving junctions with uncertain eigenfrequencies

DOI10.1016/j.cma.2011.06.014zbMath1230.74192OpenAlexW2050611038MaRDI QIDQ660304

J.-M. Mencik

Publication date: 1 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.cma.2011.06.014

zbMATH Keywords

model reductionperturbation analysiscomponent mode synthesiswave finite elements

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Junctions (74K30)

Related Items (6)

A projection-based model reduction strategy for the wave and vibration analysis of rotating periodic structures ⋮ On the dynamics of uncertain coupled structures through a wave based method in mid- and high-frequency ranges ⋮ A wave finite element-based formulation for computing the forced response of structures involving rectangular flat shells ⋮ Wave finite element-based superelements for forced response analysis of coupled systems via dynamic substructuring ⋮ A model reduction strategy for computing the forced response of elastic waveguides using the wave finite element method ⋮ Defect localization in waveguide assemblies with curved joints via wave finite elements and time of flight analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave finite elements for low and mid-frequency description of coupled structures with damage
• A substructuring technique for finite element wave propagation in multi-layered systems
• Theory of Bloch waves
• Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
• Spectral super-elements for wave propagation in structures with local non-uniformities
• An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems
• Multi-mode propagation and diffusion in structures through finite elements
• Which are the important modes of a subsystem?
• The important modes of subsystems: A moment-matching approach
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Optimal modal reduction of vibrating substructures
• Coupling of substructures for dynamic analyses.
• Perturbation theory for pseudo-inverses
• A general theory of harmonic wave propagation in linear periodic systems with multiple coupling

This page was built for publication: Model reduction and perturbation analysis of wave finite element formulations for computing the forced response of coupled elastic systems involving junctions with uncertain eigenfrequencies