Research of Nonlinear Dynamic Characteristics of TBM Hydraulic Straight Pipeline
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.
vibration and wavestraight pipelinefoundation vibrationnonlinearbifurcationchaos
国家科技期刊平台
NSTL
万方数据
维普
