TBM液压直管道的非线性动力学特性研究

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。

Research of Nonlinear Dynamic Characteristics of TBMHydraulic Straight Pipeline

Focused on the impact of foundation vibration that exits in the TBM tunneling process on the the hydraulic pipe. Geometric nonlinearity of Pipe deformation and fluid pulsation was considered, The nonlinear differential equation of motion of hydraulic straight pipeline conveying fluid was established,and the nonlinear differential equation of motion was discretized by the Ritz-Galerkin. Through numerical calculations, the nonlinear dynamic features of system which were efforted by the foundation vibration frequency and amplitude were analyzed. The results obtained show that the system respone are the periodic motion and the chaotic motion with change of the foundation vibration frequency and amplitude. The response of system gets into the chaotic motion via series of period-doubling bifurcations or intermittent chaos,and it changes again into the periodic motion via series of inverse period-doubling bifurcations; When the foundation vibration frequency which transmit to pipeline n<42Hz or the foundation vibration amplitude which transmit to pipeline d in [0,2.5] and [6.5,8.4]mm interval, Chaotic motion can be effectively avoided, increased the stability of pipeline system movement.