The Duffing–Mathieu Equation Arising from Dynamics of Post-Buckled Beams

DOI10.1007/978-3-030-34713-0_27zbMath1489.74018OpenAlexW3003966877MaRDI QIDQ5013674

Enrico Babilio

Publication date: 2 December 2021

Published in: Nonlinear Dynamics of Structures, Systems and Devices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34713-0_27

zbMATH Keywords

bifurcationlarge deflectionpost-bucklingharmonic excitationsingle-mode approximationstraight beamDuffing-Mathieu equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Global behavior of a nonlinear quasiperiodic Mathieu equation
• Dimension reduction of dynamical systems: methods, models, applications
• Nonlinear analysis of a SWCNT over a bundle of nanotubes
• Dynamics of Functionally Graded Beams on Viscoelastic Foundation

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