Highly accurate modal method for calculating eigenvector derivatives in viscous damping systems

DOI10.2514/3.12453zbMath0826.73037OpenAlexW1992430473MaRDI QIDQ4836887

Qinghua Zeng

Publication date: 22 November 1995

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.12453

zbMATH Keywords

structural responsemodal superposition methodharmonic excitingmultiple modal accelerationsshifted poles

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (12)

Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues ⋮ An incomplete modal method for eigenvector derivatives of polynomial eigenvalue problems ⋮ A new method for eigenvector derivatives of a quadratic eigenvalue problem ⋮ Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule ⋮ Improved modal truncation method for eigensensitivity analysis of asymmetric matrix with repeated eigenvalues ⋮ Approximate method for eigensensitivity analysis of a defective matrix ⋮ Accurate method for harmonic responses of non-classically damped systems in the middle frequency range ⋮ Eigensensitivity analysis of damped systems with distinct and repeated eigenvalues ⋮ Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse ⋮ Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB ⋮ Davidson method for eigenpairs and their partial derivatives of generalized eigenvalue problems

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