Various Bifurcation Phenomena in a Nonlinear Curved Beam Subjected to Base Harmonic Excitation

DOI10.1142/S0218127418300239zbMath1392.74058OpenAlexW2884630790WikidataQ129501527 ScholiaQ129501527MaRDI QIDQ3176335

Yiu-Yin Lee, Kai Leung Ray Su, Jianliang Huang, Shuhui Chen

Publication date: 20 July 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418300239

zbMATH Keywords

saddle-node bifurcationHopf bifurcationnonlinear vibrationperiod-doubling bifurcationcurved beamincremental harmonic balance methodsymmetry-breaking bifurcation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (5)

Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations ⋮ Investigation of quasi-periodic response of a buckled beam under harmonic base excitation with an ``unexplained sideband structure ⋮ Event-driven Gauss quadrature and stability analysis for fast alternating frequency-time harmonic balance of non-smooth systems ⋮ Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator ⋮ Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

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