Nonlinear dynamical behaviors of an axially moving viscoelastic beam
In this paper, the nonlinear dynamic behaviors of an axially moving viscoelastic beam with one-to-two internal resonance are investigated. Firstly, we utilize Hamiltons principle to derive the governing equations of motion for an axially moving viscoelastic beam with the integral constitution relations. Then, the Galerkins approach is applied directly to the partial differential governing equation of motion to obtain a set of ordinary dinerential equations. Based on the case of 1:2 internal resonances, we can obtain averaged equations by using the method of multiple scales. Finally, numerical simulation is performed to study the three dimensional phase portraits of the axially moving viscoelastic beam. From the results of numerical simulation, it is found that there exist the periodic and chaotic motions in the axially moving viscoelastic beam system under certain conditions.
Guo-min Fan Wei Zhang Li-hua Chen
College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China;North Chi 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
611-615
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）