Sensitivity analysis based on Lanczos algorithm in structural dynamics

DOI10.1007/BF02439382zbMath1052.74044OpenAlexW2058242176MaRDI QIDQ1429174

Jizhong Hu, Bo Wang, Shu Li

Publication date: 18 May 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439382

zbMATH Keywords

finite element methodmultiple eigenvaluessystem reduction

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10)

Cites Work

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• Proper use of Lanczos vectors for large eigenvalue problems
• Calculation of eigenvector derivatives for structures with repeated eigenvalues
• Simplified calculation of eigenvector derivatives
• A Note on Local Behavior of Multiple Eigenvalues
• Efficient computation of modal sensitivities for systems with repeated frequencies
• Computation of eigenvector derivatives with repeated eigenvalues using a complete modal space
• Rates of change of eigenvalues and eigenvectors.
• Vibration modes of large structures by an automatic matrix-reductionmethod

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