Equilibrium bifurcation of high-speed axially moving Timoshenko beams

DOI10.1007/s00707-016-1677-3zbMath1380.74067OpenAlexW2468200708MaRDI QIDQ1693698

Hu Ding, Guo-Ce Zhang, Xia Tan, Li Qun Chen

Publication date: 31 January 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-016-1677-3

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (8)

Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams ⋮ Natural frequencies of a super-critical transporting Timoshenko beam ⋮ Nonlinear vibration, stability, and bifurcation of rotating axially moving conical shells ⋮ Exact solution of a thick beam on Pasternak subsoil in finite element calculations ⋮ Effects of rotary inertia on sub- and super-critical free vibration of an axially moving beam ⋮ Dynamic analysis of a pulley-belt system with spring supports ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Complex modes and traveling waves in axially moving Timoshenko beams

Cites Work

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• Supercritical equilibrium solutions of axially moving beams with hybrid boundary conditions
• Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams
• Steady-state responses of a belt-drive dynamical system under dual excitations
• Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations
• Non-linear vibration of a traveling tensioned beam
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Rotary inertia and temperature effects on nonlinear vibration, steady-state response and stability of an axially moving beam with time-dependent velocity
• Spectral analysis for the transverse vibration of an axially moving Timoshenko beam
• Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime
• Supercritical stability of an axially moving beam part I: Model and equilibrium analysis
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• SUPERCRITICAL SPEED STABILITY OF THE TRIVIAL EQUILIBRIUM OF AN AXIALLY-MOVING STRING ON AN ELASTIC FOUNDATION

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