Periodic and chaotic oscillations out of plane for viscoelastic axially moving beam
In this paper, periodic and chaotic oscillation out of plane are investigated for viscoelastic axially moving beam. The Kelvin viscoelastic model is chosen to describe the viscoelastic property of the beam material. Firstly, the nonlinear governing equations of out-of-plane motion are established by using the Hamiltons principle. Then, based on three-term Galerkins discretization, the governing equations of motion are simplified to ordinary differential equations with six-degrees-of-freedom. The bifurcation diagram and phase portraits are given to capture the systems dynamical behavior. From numerical simulations, it is indicated mat the periodic, quasi-periodic and chaotic motions occur in the out-of-plane vibrations of the axially accelerating viscoelastic beam.
Li-hua Chen Feng-hong Yang Wei Zhang
College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
601-604
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）