Improving the generalized Bloch mode synthesis method using algebraic condensation

DOI10.1016/j.cma.2021.113758zbMath1506.74454OpenAlexW3150234316MaRDI QIDQ2021914

Hui Zheng, Chenyang Xi

Publication date: 27 April 2021

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.2021.113758

zbMATH Keywords

periodic structuresBloch mode synthesisalgebraic condensationband-structure computationresidual modes compensation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

State-space Bloch mode synthesis for fast band-structure calculations of non-classically damped phononic materials ⋮ A hybrid Bloch mode synthesis method based on the free interface component mode synthesis method

Uses Software

• CHOLMOD

Cites Work

• Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method
• The quadratic MITC plate and MITC shell elements in plate bending
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• An efficient method for band structure calculations in 3D photonic crystals
• Generalized Bloch mode synthesis for accelerated calculation of elastic band structures
• An enhanced AMLS method and its performance
• An enhanced Craig-Bampton method
• Error estimation for the automated multi-level substructuring method
• Reduced Bloch mode expansion for periodic media band structure calculations
• A new iterative order reduction(IOR) method for eigensolutions of large structures
• Model reduction using dynamic and iterated IRS techniques
• An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
• An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation
• Coupling of substructures for dynamic analyses.
• Nested Dissection of a Regular Finite Element Mesh
• The finite-element time-domain method for elastic band-structure calculations

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