Fast sensitivity analysis of defective system

DOI10.1016/J.AMC.2010.08.057zbMath1427.70046OpenAlexW1985364274MaRDI QIDQ613260

Tao Xu, Liang Hao, Wenjie Zuo, Tianshuang Xu

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.057

zbMATH Keywords

sensitivity analysislinear vibrationdefective systemgeneralized modal theories

Mathematics Subject Classification ID

Modal analysis in linear vibration theory (70J10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (1)

Structural control design and defective systems

Cites Work

• A development of modal expansion method for eigensensitivity analysis of a defective matrix
• Calculation of eigenvalue and eigenvector derivatives of a defective matrix
• Low-rank damping modifications and defective systems
• Perturbation sensitivity of generalized modes of defective systems
• Simplified calculation of eigenvector derivatives
• Eigensolutions of perturbed nearly defective matrices
• A new method for solving non-linear eigenproblems of vibrations
• Free vibrations and sensitivity analysis of a defective two degree-of-freedom system
• Rates of change of eigenvalues and eigenvectors.

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