Nonlinear free transverse vibrations of axially moving Timoshenko beams with two free ends

DOI10.1007/S11431-011-4466-1zbMath1237.74120OpenAlexW2057844118MaRDI QIDQ413087

Biao Li, Li Qun Chen, You-Qi Tang

Publication date: 4 May 2012

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-011-4466-1

zbMATH Keywords

Timoshenko beammethod of multiple scalesinternal resonancescomplex mode approachnonlinear transverse vibration

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory ⋮ Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions ⋮ Dynamic response of axially moving Timoshenko beams: integral transform solution

Cites Work

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• Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
• Non-linear vibration of a traveling tensioned beam
• Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
• Natural frequencies, modes and critical speeds of axially moving Timoshenko beams with different boundary conditions
• Parametric resonance of axially moving Timoshenko beams with time-dependent speed
• Nonlinear free transverse vibration of an axially moving beam: Comparison of two models

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