Isospectral Euler-Bernoulli beams with continuous density and rigidity functions

DOI10.1098/rspa.1987.0113zbMath0633.73058OpenAlexW2021833802MaRDI QIDQ3771746

H. P. W. Gottlieb

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0113

zbMATH Keywords

different boundary conditionscanonical fourth-order eigenvalue problemcontinuous distribution of mass and stiffnesshomogeneous beam clampedIsospectral systemsseven different classes of inhomogeneous Bernoulli- beams

Mathematics Subject Classification ID

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

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