Apparently first closed‐form solutions for inhomogeneous vibrating beams under axial loading

DOI10.1098/RSPA.2000.0685zbMath1007.74044OpenAlexW2096648425MaRDI QIDQ2748051

Z. Guédé, Isaac Elishakoff

Publication date: 27 March 2003

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.2000.0685

zbMATH Keywords

inverse problemclosed-form solutionsnatural frequenciesmode shapepolynomial functionsstiffnessmass densitystatic deflectionaxially distributed loadinginhomogeneous vibrating beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (6)

Reconstructing the axial stiffness of a symmetric rod with two elastic supports using single mode ⋮ Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Transverse vibration of pre-tensioned nonlocal nanobeams with precise internal axial loads ⋮ Reconstructing cross-sectional physical parameters for two-span beams with overhang using fundamental mode ⋮ Reconstructing the mass distribution function of a two-span beam with an overhang via the fundamental mode ⋮ ANALYTICAL SOLUTIONS FOR VIBRATION OF SIMPLY SUPPORTED NONLOCAL NANOBEAMS WITH AN AXIAL FORCE

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