Qualitative Properties of vibrating systems

DOI10.1098/rspa.1985.0100zbMath0583.73048OpenAlexW2052770951MaRDI QIDQ3706597

Graham M. L. Gladwell

Publication date: 1985

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.1985.0100

zbMATH Keywords

longitudinalfinite elementsnatural frequenciesdifferential equationsqualitative propertiescircular membranefree vibrationtorsional vibrationdifferent end conditionsdistinctness of natural frequenciesfourth-order continuous systemsinterlacing of frequencieslumped-mass systemsnodal patterns for modesprincipal modessecond-order continuous systemsslender beam in flexural vibrationslender non-uniform rodstaut, non-uniform string

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15) Strings (74K05)

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