Subharmonic and ultra-subharmonic response of nonlinear elastic beams subjected to harmonic excitation

DOI10.1007/BF02459164zbMath0979.74035OpenAlexW1975227671MaRDI QIDQ1579169

Gui-Tong Yang, Nian-Mei Zhang

Publication date: 4 September 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459164

zbMATH Keywords

harmonic balance methodMelnikov methodsubharmonic responseharmonic bifurcationnonlinear elastic beamstransverse harmonic excitationultra-subharmonic response

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical systems in solid mechanics (37N15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
• Mathematical models used in studying the chaotic vibration of buckled beams
• Nonlinear Vibrations of a Beam Under Harmonic Excitation
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation