nonlinear dynamic behaviors of a cracked hinged-hinged pipe conveying pulsating fluid
Cai Feng-chun1; Zang Feng-gang1; Liang Yan-xian2
1.National Key Laboratory of Science and Technology on Reactor System Design Technology, Nuclear Power Institute of China, Chengdu,610041, China2.Chengdu Aeronautic Vocational and Technical College, Chengdu,610021, China
Abstract：Based on the Lagrange’s equation written for the system containing non-material volumes, the equation of motion for the hinged-hinged pipes conveying fluid with a breathing crack is derived and the Geometric nonlinearity is considered. The dynamical behaviors of the cracked/uncracked pipe conveying fluid in the instability regions are studied by numerical methods. The results show that the dynamical behaviors of the cracked pipes conveying fluid may be much richer, such as periodic motion and chaotic motion. For the cracked pipe conveying fluid, a series of periodic-doubling bifurcations lead to chaotic motion and a series of inverse periodic-doubling bifurcations is the way to leave chaotic motion.
2012, Vol. 31 
