A symmetric inverse eigenvalue problem in structural dynamic model updating

DOI10.1016/j.amc.2009.03.045zbMath1168.65018OpenAlexW2060514866MaRDI QIDQ1029389

Yongxin Yuan

Publication date: 10 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.045

zbMATH Keywords

numerical examplesinverse eigenvalue problemoptimal approximationmodel updatingpartially prescribed spectral informationundamped structural system

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (14)

The generalized inverse eigenvalue problem of Hamiltonian matrices and its approximation ⋮ A gradient based iterative algorithm for solving structural dynamics model updating problems ⋮ The anti-symmetric solution of the matrix equation \(AXA^{\top} =B\) on a null subspace ⋮ An inverse eigenvalue problem for Hamiltonian matrices ⋮ Linear parameterized inverse eigenvalue problem of bisymmetric matrices ⋮ Parameterized inverse singular value problem for anti-bisymmetric matrices ⋮ Linearly structured quadratic model updating using partial incomplete eigendata ⋮ Backward error analysis and inverse eigenvalue problems for Hankel and symmetric-Toeplitz structures ⋮ Descent flow methods for inverse Sturm-Liouville problem ⋮ An inverse eigenvalue problem of Hermite-Hamilton matrices in structural dynamic model updating ⋮ Generalized inverse eigenvalue problems for Hermitian and \(J\)-Hamiltonian/skew-Hamiltonian matrices ⋮ Updating undamped structural models using displacement output feedback ⋮ Analytical dynamic model modification using acceleration and displacement feedback ⋮ The symmetric solution of the matrix equation \(AXB=D\) on subspace

Cites Work

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• Associative memory approach to the identification of structural and mechanical systems
• Some Nniqueness Results Related to Soil and Building Structural Identification
• Uniqueness in the Identification of a Bending Beam Modeled by Finite Elements
• Stiffness matrix correction from incomplete test data
• Some Uniqueness Results Related to Building Structural Identification
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests

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