Three-dimensional nonlinear vibrations of an axially moving viscoelastic belt with integral constitutive law
Nonlinear vibrations of an axially moving viscoelastic belt are investigated based on integral constitutive law. First, the nonlinear governing equations, partial-differential-integral equations, of motion for the axially moving viscoelastic belt are derived by using Hamiltons principle in three-dimensional space. Then, the method of multiple scales and the Galerkins approach are applied directly to the governing equations of motion to obtain four-dimensional averaged equation. Finally, the results of numerical simulation demonstrate that there exist the periodic and chaotic motions of the axially moving viscoelastic belt, and they can evolve each other.
Yan-qi Liu Wei Zhang Li-hua Chen Hong-xing 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
644-648
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）