A new exact approach for determining natural frequencies and mode shapes of non-uniform shear beams with arbitrary distribution of mass or stiffness

DOI10.1016/S0020-7683(99)00201-2zbMath0968.74032OpenAlexW2092141081MaRDI QIDQ1577286

N. Delaunay

Publication date: 18 September 2001

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(99)00201-2

zbMATH Keywords

exact solutionmode shapesnatural frequenciesmass distributionBessel functionsmulti-step nonuniform shear beamsrecurrent formulaestiffness distributionunit matrix property

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

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