中文摘要：

针对TBM 掘进过程中产生的基础振动对液压长管道稳定性的影响,选取长管道相邻两固定支承及其之间的管道作为一个单元,建立基础振动下管道单元的非线性微分方程,并通过实验验证振动微分方程的正确性,运用等价线性化推导出管道的等效固有频率的数学模型.研究输流管道系统固有频率与稳定性的相关性,分别讨论流体参数和结构参数对等效固有频率的影响规律.结果表明：利用等效固有频率能很好地反映系统的稳定性,两者相关系数大于0.85.随着流速、压力及单元管长、内径的增大或刚度、壁厚的减小,管道系统的等效固有频率降低,系统稳定性降低;随着基础振动的增大,系统等效固有频率越低,越容易失稳.

英文摘要：

The impact of foundation vibration generated in TBM tunneling on the stability of long hydraulic pipelines was studied. Selecting the pipe segment with two neighboring supports as an element, the nonlinear differential equation of the pipeline unit in the foundation vibration condition was established, and the validity of the differential equation was verified through experiments. Equivalent linearization technique was applied to obtain the mathematical model for analyzing the pipeline’s equivalent inherent frequency. The relevance between inherent frequency and stability of fluid-flow in the pipeline was analyzed, and the effects of fluid parameters and structural parameters on the equivalent inherent frequency were discussed. The results indicate that the equivalent inherent frequency can reflect the stability of system very well and the correlation coefficient is greater than 0.85. The equivalent inherent frequency and stability decrease with the increase of the flow velocity, pressure, the length and internal diameter of the pipeline unit as well as the decrease of the rigidity and wall thickness of the pipeline unit. As the foundation vibration increases, the equivalent inherent frequency of the system will decrease, and the system may lose its stability more easily.