An inverse spectral problem for the Euler - Bernoulli equation for the vibrating beam

DOI10.1088/0266-5611/13/4/013zbMath0884.34014OpenAlexW1992032371MaRDI QIDQ4358877

Dimitrios C. Kravvaritis, Vassilis G. Papanicolaou

Publication date: 13 November 1997

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

Full work available at URL: https://doi.org/10.1088/0266-5611/13/4/013

zbMATH Keywords

inverse problemspectral problemEuler-Bernoulli equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Green's functions for ordinary differential equations (34B27) Inverse problems for waves in solid mechanics (74J25) Inverse problems involving ordinary differential equations (34A55)

Related Items (10)

Techniques for approximating a spatially varying Euler-Bernoulli model with a constant coefficient model ⋮ Procrustes problems and inverse eigenproblems for multilevel block α -circulants ⋮ Sharp eigenvalue asymptotics for fourth order operators on the circle ⋮ The inverse eigenvalue problem of reflexive matrices with a submatrix constraint and its approximation ⋮ Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae ⋮ The periodic Euler-Bernoulli equation ⋮ The Floquet theory of the periodic Euler-Bernoulli equation ⋮ Numerical algorithms for inverse Sturm-Liouville problems ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

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