摘要
针对TBM掘进过程中产生的振动对液压管道的影响,以液压直管为研究对象,在考虑管道变形的几何非线性及流体脉动的情况下,建立系统的非线性运动微分方程,运用Galerkin方法对其进行离散化,采用数值仿真方法分析基础振动振幅及频率对系统非线性动力学特性的影响规律。结果表明随着基础振动频率和幅值的变化,管道系统交替呈现周期和混沌运动两种形态。系统通过系列倍周期分岔或阵发性混沌进入混沌,通过倍周期倒分岔脱离混沌;当传递到管道上的基础振动频率低于42 Hz时,或者当传递到管道上的基础振动幅值D在(0,2.5)和(6.5,8.4)mm区间时,可以有效避免系统混沌运动的产生,增加管道运动的稳定性。
The influence of foundation vibration in the TBM tunneling process on a hydraulic pipeline is studied. Considering the geometrical nonlinearity of the pipeline deformation and fluid pulsation, the nonlinear dynamic differential equation of the hydraulic straight pipeline is established. Then, this nonlinear differential equation is discretized by Galerkin method. The influence of the amplitude and frequency of the foundation vibration on the nonlinear dynamic features of the pipeline system is analyzed numerically. The results obtained show that the system response is the alternative periodic motion and chaotic motion with the frequency and amplitude of the foundation vibration varying. The response of the system gets into the chaotic motion via series period-doubling bifurcation or intermittent chaos, and it gets back into the periodic motion via series of inverse period-doubling bifurcation. When the frequency of the foundation vibration which transmits to the pipeline is less than 42 Hz or the amplitude D is in the ranges of 0-2.5 mm and 6.5-8.4 mm, the chaotic motion can be effectively avoided, and the stability of the pipeline system movement can be increased.
出处
《噪声与振动控制》
CSCD
2014年第3期61-66,共6页
Noise and Vibration Control
基金
国家重点基础研究发展计划资助项目(2013CB035404)
关键词
振动与波
直管道
基础振动
非线性
分岔
混沌
vibration and wave
straight pipeline
foundation vibration
nonlinear
bifurcation
chaos
