Investigation of natural frequencies and mode shapes of buckled beams

DOI10.2514/3.12669zbMath0845.73041OpenAlexW1520745403MaRDI QIDQ4876559

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Publication date: 5 May 1996

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.12669

zbMATH Keywords

exact solutionfirst-mode buckled beamlinear modesfixed-fixed case

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60)

Related Items (14)

Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations ⋮ Nonlinear Vibrations of a Delaminated Beam ⋮ Applicability and efficacy of Galerkin-based approximation for solving the buckling and dynamics of nanobeams with higher-order boundary conditions ⋮ Vibration analysis of cracked post-buckled beams ⋮ Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Exact solution and stability of postbuckling configurations of beams ⋮ A DQ based approach to simulate the vibrations of buckled beams ⋮ Investigation of quasi-periodic response of a buckled beam under harmonic base excitation with an ``unexplained sideband structure ⋮ A motion amplifier using an axially driven buckling beam. II: Modeling and analysis ⋮ Application of sensitivity analysis and uncertainty quantification methods on the dynamic response of general nonlocal beams ⋮ Nonlinear vibration of thermally postbuckled FG-GRC laminated beams resting on elastic foundations ⋮ A review on buckling and postbuckling of thin elastic beams ⋮ Deformation and vibration of a buckled beam constrained by springy walls ⋮ Free in-plane vibrations of highly buckled beams carrying a lumped mass

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