Inhomogeneous beams that may possess a prescribed polynomial second mode

DOI10.1016/S0960-0779(00)00043-6zbMath1023.74025OpenAlexW2087925858MaRDI QIDQ1862297

Isaac Elishakoff, Joseph L. Neuringer

Publication date: 19 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00043-6

zbMATH Keywords

inverse problemconstant mass densitylinear mass densityinhomogeneous Bernoulli-Euler beamparabolically varying mass densityprescribed polynomial second modestiffness variation

Mathematics Subject Classification ID

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

Cites Work

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• Inverse spectral theory using nodal points as data - A uniqueness result
• Inverse problems: recovery of BV coefficients from nodes
• A formula for finding a potential from nodal lines

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