The reconstruction of a specially structured Jacobi matrix with an application to damage detection in rods

DOI10.1016/j.camwa.2004.10.043zbMath1082.74019OpenAlexW2073119089MaRDI QIDQ814043

N. E. Zubov

Publication date: 2 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/176297

zbMATH Keywords

spectrummatrix pencilaxial vibrationinverse eigenvalue problems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99)

Related Items (5)

Physical parameters reconstruction of a fixed-fixed mass-spring system from its characteristic data ⋮ Performance sensitivity of helicopter global and local optimal harmonic vibration controller ⋮ Descent flow methods for inverse Sturm-Liouville problem ⋮ An inverse eigenvalue problem for the finite element model of a vibrating rod ⋮ An inverse eigenvalue problem for symmetrical tridiagonal matrices

Cites Work

• Inverse eigenvalue problems for Jacobi matrices
• Construction of a Jacobi matrix from spectral data
• A new trust region algorithm for bound constrained minimization
• An inverse eigenvalue procedure for damage detection in rods
• On the construction of a Jacobi matrix from spectral data
• Constructing the shape of a rod from eigenvalues
• On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues
• An inverse eigenvalue method for frequency isolation in spring–mass systems

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