Free in-plane vibrations of curved nonuniform beams

DOI10.1007/BF01176241zbMath1023.74019OpenAlexW2076239506MaRDI QIDQ1866562

Yanyan Li

Publication date: 10 November 2003

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

Full work available at URL: https://doi.org/10.1007/bf01176241

zbMATH Keywords

natural frequenciesfree in-plane vibrationsvariable coefficientsarc lengthflexural displacementlongitudinal displacementcenter anglecurved nonuniform beamssixth-order ordinary differential equationtaper ratio

Mathematics Subject Classification ID

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

Related Items (4)

Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Transient sinusoidal shear deformation formulation of a size-dependent three-layer piezo-magnetic curved nanobeam ⋮ Dynamic multi-patch isogeometric analysis of planar Euler-Bernoulli beams ⋮ An efficient isogeometric beam formulation for analysis of 2D non-prismatic beams

Cites Work

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• THE FLEXURAL VIBRATIONS OF A CUT TifiN RING
• Exact Solutions for Out-of-Plane Vibration of Curved Nonuniform Beams
• Dynamic characteristics of stiffened rings by transfer matrix approach
• In-plane vibration of slightly curved laminated composite beams
• Free Vibrations Of Circular Arches: A Review

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