Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime
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Publication:2920769
DOI10.1142/S021812741450062XzbMath1296.35185OpenAlexW2158721935MaRDI QIDQ2920769
Hu Ding, Jean W. Zu, Qiaoyun Yan
Publication date: 29 September 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812741450062x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Bifurcations in context of PDEs (35B32) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (13)
Complex stability boundaries of axially moving beams with interdependent speed and tension ⋮ Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams ⋮ Various Bifurcation Phenomena in a Nonlinear Curved Beam Subjected to Base Harmonic Excitation ⋮ Natural frequencies of a super-critical transporting Timoshenko beam ⋮ Asymptotic solutions of coupled equations of supercritically axially moving beam ⋮ Nonlinear analysis of a parametrically excited beam with intermediate support by using multi-dimensional incremental harmonic balance method ⋮ Equilibrium bifurcation of high-speed axially moving Timoshenko beams ⋮ Internal resonance of an axially transporting beam with a two-frequency parametric excitation ⋮ Stability analysis and vibration characteristics of an axially moving plate in aero-thermal environment ⋮ Stability, Bifurcation and Chaos of a Traveling Viscoelastic Beam Tuned to 3:1 Internal Resonance and Subjected to Parametric Excitation ⋮ Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed ⋮ Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations ⋮ Nonlinear Phenomena in Axially Moving Beams with Speed-Dependent Tension and Tension-Dependent Speed
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