The inverse problem for the vibrating beam

DOI10.1098/rspa.1984.0058zbMath0542.73087OpenAlexW2110673183MaRDI QIDQ3330671

Graham M. L. Gladwell

Publication date: 1984

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.1984.0058

zbMATH Keywords

freevibrating beamslidingresonant and antiresonant frequenciesfrequency spectraclampedNecessary and sufficient conditionssystem parametersrotational springscompletely orderedcontinuous mass and stiffness distributionpinnedsystem of rigid rodsTwo stripping procedures

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems for PDEs (35R30)

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