Sufficient conditions for the solution of the inverse problem for a vibrating beam

DOI10.1088/0266-5611/3/2/005zbMath0629.73040OpenAlexW2028777454MaRDI QIDQ3766932

Victor Barcilon

Publication date: 1987

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/3/2/005

zbMATH Keywords

existencedensitynecessary and sufficient conditionsspectral datainverse eigenvalue problemflexural rigidityimpulse response approachthree spectra approach

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems involving ordinary differential equations (34A55) Ordinary differential operators (34L99)

Related Items (10)

The spectral theory of the vibrating periodic beam ⋮ Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients ⋮ Identification of multiple cracks in a beam by natural frequencies ⋮ Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ Uniqueness for near-constant data in fourth-order inverse eigenvalue problems ⋮ Least-squares solution of inverse problem for Hermitian anti-reflexive matrices and its appoximation ⋮ Acoustic scattering and the extended Korteweg-de Vries hierarchy ⋮ Inverse eigenvalue problem of unitary Hessenberg matrices ⋮ The generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

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