Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring

DOI10.1007/BF02879942zbMath0908.73035MaRDI QIDQ1128135

Shifu Xiao, Bin Chen

Publication date: 10 August 1998

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

bifurcationEuler-Bernoulli beamshooting methodRayleigh beambuckling solutionHamilton's variation principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55)

Related Items

Bifurcation and buckling analysis of a unilaterally confined self-rotating cantilever beam ⋮ Dynamic behavior of thin rectangular plate attached to moving rigid ⋮ Predicting nonlinear dynamic response of internal cantilever beam system on a steadily rotating ring

Cites Work

• Vibration and buckling of rotating flexible rods at transitional parameter values
• Buckling of rotating beams
• Vibrations of a rotating flexible rod clamped off the axis of rotation
• Unstable vibrations and buckling of rotating flexible rods
• Bifurcation and stability analysis of a rotating beam