Investigation of quasi-periodic response of a buckled beam under harmonic base excitation with an ``unexplained sideband structure

DOI10.1007/s11071-020-05641-3zbMath1516.74041OpenAlexW3024354171MaRDI QIDQ6166280

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Publication date: 2 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05641-3

zbMATH Keywords

bifurcationinternal resonancebuckled beamquasi-periodic responseincremental harmonic balance method with two time scalesuniformly spaced sidebands

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (3)

Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading ⋮ An efficient extended IHB method for non-linear dynamic analysis with multi-frequency harmonic excitations using an auto adapted truncation technique ⋮ A review on buckling and postbuckling of thin elastic beams

Cites Work

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• Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors
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• On the nonlinear dynamics of a buckled beam subjected to a primary-resonance excitation
• Studying linear and nonlinear vibrations of fractional viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory
• Nonlinear forced vibration analysis of postbuckled beams
• Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems
• Various Bifurcation Phenomena in a Nonlinear Curved Beam Subjected to Base Harmonic Excitation
• Efficient numerical treatment of periodic systems with application to stability problems
• Investigation of natural frequencies and mode shapes of buckled beams
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
• Nonlinear vibration of buckled beams: Some exact solutions

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