Nonlinear nonplanar dynamics of parametrically excited cantilever beams

DOI10.1023/A:1008218009139zbMath0910.73034OpenAlexW33567092MaRDI QIDQ1129599

Haider N. Arafat, Char-Ming Chin, Ali Hasan Nayfeh

Publication date: 26 April 1999

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

Full work available at URL: https://doi.org/10.1023/a:1008218009139

zbMATH Keywords

chaoslimit cyclesHopf bifurcationsbifurcation analysisfirst-order nonlinear ordinary differential equationseigenvalues of Jacobian matrixinextensibility conditionmethod of time-averaged Lagrangianpseudo arc-length schemetwo integro-partial differential equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

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