含裂纹两端铰支输流管道在振荡流作用下的非线性动力特性研究

摘要

Based on the Lagrange's equation written for the system containing non-material volumes, the equation of motion of the hinged-hinged pipes conveying fluid with a breathing crack was derived and the geometric nonlinearity was considered. The dynamical behaviors of the cracked/uncracked pipe conveying fluid in the instability regions were studied by numerical methods. The results show that much richer dynamical behaviors of the cracked pipes conveying fluid may, such as periodic motion and chaotic motion. For the cracked pipe conveying fluid, a series of periodic-doubling bifurcations leads to chaotic motion and a series of inveree periodic-doubling bifurcations is the way to leave chaotic motion.%基于适用于非材料体系统的Lagrange方程建立起含裂纹两端铰支输流管道在振荡流作用下的运动方程,考虑了瞬变呼吸裂纹非线性模型和几何非线性.采用数值方法研究了有/无裂纹输流管道在各个参数共振区域内的运动形态,结果表明由于裂纹的存在,输流管道系统表现出更加丰富的动力学行为,如倍周期运动和混沌运动.含裂纹输流管道系统通过倍周期分岔途径进入混沌,通过倍周期倒分岔脱离混沌.