Nonlinear non-planar parametric responses of an inextensional beam

DOI10.1016/0020-7462(89)90005-XzbMath0673.73043OpenAlexW2067653921MaRDI QIDQ1121069

Perngjin F. Pai, Ali Hasan Nayfeh

Publication date: 1989

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(89)90005-x

zbMATH Keywords

method of multiple scalesHopf bifurcationsGalerkin procedurehardening effectsoftening effectfirst-order uniform expansion for the interaction of the twofirst-order uniform expansion for the interaction of the two resonant modesfixed-free beamfour first-order nonlinear ordinary-differential equationsnonlinear geometric termsnonlinear inertia termsnonlinear integro-differential equations of motionprincipal parametric excitationresonant modes

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

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