Reducing huge gyroscopic eigenproblems by automated multi-level substructuring

DOI10.1007/s00419-006-0013-0zbMath1161.70300OpenAlexW2046851018MaRDI QIDQ1020250

Heinrich Voss, Kolja Elssel

Publication date: 29 May 2009

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: http://tubdok.tub.tuhh.de/handle/11420/118

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hydro- and aero-acoustics (76Q05)

Related Items (7)

Periodic steady state response of large scale mechanical models with local nonlinearities ⋮ Semi-definite programming techniques for structured quadratic inverse eigenvalue problems ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ An approach for large-scale gyroscopic eigenvalue problems with application to high-frequency response of rolling tires ⋮ An Out-of-Core Eigen-Solver with OpenMP Parallel Scheme for Large Spare Damped System ⋮ Finite element analysis of tires in rolling contact ⋮ A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems

Uses Software

• SuperLU
• METIS
• ARPACK
• JDQZ
• Chaco

Cites Work

• The ALE formulation of bodies in rolling contact: theoretical foundations and finite element approach
• Locking and Restarting Quadratic Eigenvalue Solvers
• Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils
• The Quadratic Eigenvalue Problem
• The Rayleigh-Ritz method for dissipative or gyroscopic systems
• An A Priori Bound for Automated Multilevel Substructuring
• ARPACK Users' Guide
• Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
• An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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