Non-linear dynamics of a simply supported fluid-conveying pipe subjected to motion-limiting constraints: Two-dimensional analysis

作者：Peng, Geng; Xiong, Youming^*; Gao, Yun; Liu, Liming; Wang, Menghao; Zhang, Zheng

来源：Journal of Sound and Vibration, 2018, 435: 192-204.

DOI：10.1016/j.jsv.2018.08.018

• Pipe conveying pulsating fluid
• Non-linear dynamics
• Motion-limiting constraints
• Two-dimensional analysis

In this paper, the coupled axial and transverse non-linear vibrations of a simply supported pipe, subjected to motion-limiting constraints, conveying pulsating fluid are investigated. The equations of motion are discretized into a set of coupled ordinary differential equations via Galerkin's method, which are then solved using Houbolt's method combined with Newton-Raphson iterative technique. The bifurcation diagrams are constructed to present the global dynamics of the system. Phase-plane portraits, Poincare maps and power spectrum diagrams are plotted to show the characteristics of some typical motions, such as quasi-periodic and chaotic motions. Finally, the influence of axial motion on the system dynamics is investigated.

• 出版日期2018-11-24
• 单位西南石油大学