An iterative method for solving finite element model updating problems

DOI10.1016/j.apm.2010.07.040zbMath1205.74169OpenAlexW1997241172MaRDI QIDQ622923

Yongxin Yuan, Hao Liu

Publication date: 13 February 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.07.040

zbMATH Keywords

iterative algorithmoptimal approximationmodel updatingpartially prescribed spectral datadamped structural system

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: application to a full-scale bridge structure ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ A new iterative model updating technique based on least squares minimal residual method using measured modal data ⋮ A new updating method for the damped mass-spring systems

Cites Work

• A model updating method for undamped structural systems
• An inverse quadratic eigenvalue problem for damped structural systems
• Generalized inverses. Theory and applications.
• Finite element model updating in structural dynamics
• The Quadratic Eigenvalue Problem
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• Stiffness matrix correction from incomplete test data
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests

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