On the improved Kirchhoff equation modelling nonlinear vibrations of beams

DOI10.1007/s00707-006-0350-7zbMath1106.74030OpenAlexW2082646706MaRDI QIDQ857529

Igor V. Andrianov, Jan Awrejcewicz

Publication date: 18 December 2006

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

Full work available at URL: https://doi.org/10.1007/s00707-006-0350-7

Mathematics Subject Classification ID

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

Related Items (6)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Quasiperiodic forced vibrations of a beam interacting with a nonlinear spring ⋮ Investigation of quasi-periodic response of a buckled beam under harmonic base excitation with an ``unexplained sideband structure ⋮ Application of the homotopy method for the analytic approach of the nonlinear free vibration analysis of the simple end beams using four engineering theories ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Analysis of large amplitude free vibrations of unsymmetrically laminated composite beams on a nonlinear elastic foundation

Cites Work

• On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity
• Bifurcations of parametric oscillations of beams with three equilibria
• NON-LINEAR BEAM OSCILLATIONS EXCITED BY LATERAL FORCE AT COMBINATION RESONANCE
• Unnamed Item

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