Effects of supported angle on stability and dynamical bifurcations of cantilevered pipe conveying fluid

被引:0
|
作者
Chunbiao Gan
Shuai Jing
Shixi Yang
Hua Lei
机构
[1] Zhejiang University,The State Key Laboratory of Fluid Power Transmission and Control, School of Mechanical Engineering
[2] Zhejiang University,Department of Engineering Mechanics
来源
Applied Mathematics and Mechanics | 2015年 / 36卷
关键词
cantilevered pipe conveying fluid; supported angle; modal analysis; response characteristics; dynamical bifurcation; TH113; 70K50; 74H45;
D O I
暂无
中图分类号
学科分类号
摘要
The effects of the supported angle on the stability and dynamical bifurcations of an inclined cantilevered pipe conveying fluid are investigated. First, a theoretical model of the pipe is developed through the force balance and stress-strain relationship. Second, the response surfaces, stability, and critical lines of the typical hanging system (H-S) and standing system (S-S) are discussed based on the modal analysis. Last, the bifurcation diagrams of the pipe are presented for different supported angles. It is shown that pipes will undergo a series of bifurcation processes and show rich dynamic phenomena such as buckling, Hopf bifurcation, period-doubling bifurcation, chaotic motion, and divergence motion.
引用
收藏
页码:729 / 746
页数:17
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