Reconstructing the cross–sectional area of an axially vibrating non–uniform rod from one of its mode shapes

DOI10.1098/rspa.2003.1214zbMath1069.74026OpenAlexW2005584317MaRDI QIDQ3022792

Isaac Elishakoff, Yitshak M. Ram

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1098/rspa.2003.1214

zbMATH Keywords

parameter identificationInverse problem

Mathematics Subject Classification ID

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

Related Items (4)

Inverse mode problems for the finite element model of a vibrating rod ⋮ A note on the inverse mode shape problem for bars, beams, and plates ⋮ Constructing rod and beam equation with fundamental mode and physical parameters of polynomial form ⋮ An inverse eigenvalue problem for the finite element model of a vibrating rod

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