An approach for large-scale gyroscopic eigenvalue problems with application to high-frequency response of rolling tires

DOI10.1007/s00466-007-0206-6zbMath1162.74366OpenAlexW1978979721MaRDI QIDQ1021100

Udo Nackenhorst, Maik Brinkmeier

Publication date: 8 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-007-0206-6

zbMATH Keywords

finite element methodarbitrary Lagrangian Euleriangyroscopic effectstire modelslarge scale quadratic eigenvalue problemrolling noise

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

On the dynamics of rotating and rolling structures, Selective damping method for the weak-Arlequin coupling of molecular dynamics and finite element method, Quadratic model updating with gyroscopic structure from partial eigendata, Stabilized numerical solution for transient dynamic contact of inelastic solids on rough surfaces, Forced vibrations of a rolling tyre, Semi-definite programming techniques for structured quadratic inverse eigenvalue problems, A Special Case of Rolling Tire Vibrations, Finite element analysis of tires in rolling contact, A Numerical Method to Solve Nonsymmetric Eigensystems Applied to Dynamics of Turbomachinery, Another Special Case of Vibrations of a Rolling Tire

Uses Software

• PARDISO
• JDQR
• ARPACK
• MKL
• JDQZ

Cites Work

• Reducing huge gyroscopic eigenproblems by automated multi-level substructuring
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• The Quadratic Eigenvalue Problem
• Displacement dependent pressure loads in nonlinear finite element analyses
• On the treatment of inelastic material behavior in an ALE-description of rolling contact
• An augmented lagrangian treatment of contact problems involving friction
• Numerical models of steady rolling for non‐linear viscoelastic structures in finite deformations
• ARPACK Users' Guide
• Templates for the Solution of Algebraic Eigenvalue Problems
• An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods