Nonlinear normal modes of a parametrically excited cantilever beam

DOI10.1023/A:1012938213046zbMath1007.74049OpenAlexW4254782851MaRDI QIDQ5960059

Ali Hasan Nayfeh, Hiroshi Yabuno

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012938213046

zbMATH Keywords

method of multiple scalescurvatureinertiaparametric resonancedirect approachlinear mode shapenonlinear nonautonomous integro-partial differential equationnonlinear normal modessingle-mode Galerkin discretizationspatial correctionvertical cantilever beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (10)

An approach dealing with inertia nonlinearity of a cantilever model subject to lateral basal Gaussian white noise excitation ⋮ Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Simply supported elastic beams under parametric excitation ⋮ Periodic excitation of a buckled beam using a higher order semianalytic approach ⋮ Energy-based formulation for nonlinear normal modes in cable-stayed beam ⋮ Dynamic and stability of harmonic driving flexible Cartesian robotic arm with bolted joints based on the sensitivity and multiple scales method ⋮ Vibration control of a transversely excited cantilever beam with tip mass ⋮ Analytical and numerical study of the influence of different support types in the nonlinear vibrations of beams ⋮ Cubic-quintic nonlinear parametric resonance of a simply supported beam ⋮ Nonlinear vibration of a beam with asymmetric elastic supports

This page was built for publication: Nonlinear normal modes of a parametrically excited cantilever beam