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Influence of initial imperfections on nonlinear free vibration of elastic bars

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Publication:1060052
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DOI10.1007/BF01175801zbMath0567.73068MaRDI QIDQ1060052

J. Blot

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)


zbMATH Keywords

vibration frequencydifferential equationNumerical resultsinitial imperfectionssolved exactlyelastic barsNonlinear free vibrationterms of complete elliptic integrals


Mathematics Subject Classification ID

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


Related Items (1)

Optimal bounds for Gaussian arithmetic-geometric mean with applications to complete elliptic integral




Cites Work

  • Dynamic and static nonlinear analysis of generally laminated imperfect plates having nonuniform boundary conditions and resting on elastic foundation
  • Influence of initial geometrical imperfections on vibrations of axially compressed stiffened cylindrical shells
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