管道大变形监测的逆绝对节点坐标法

INVERSE ABSOLUTE NODAL COORDINATE FORMULATION FOR MONITORING PIPELINE LARGE DEFORMATION

  • 摘要: 长距离运输管道容易在活动断裂带、采空沉降区等恶劣地质灾害作用下发生大变形,进一步诱发油气泄漏或爆炸等重大安全事故。针对管道结构的大变形监测与变形重构问题,该文结合逆有限元法与绝对节点坐标法,提出了一种新型的逆绝对节点坐标法。以平面悬臂梁大变形为研究对象,构造逆绝对节点坐标平面梁单元。通过待求单元节点绝对坐标和转角与已知表面应变推导的弯曲曲率和轴向应变建立加权最小二乘函数,在添加曲率连续性边界条件与简化节点自由度的基础上,保证了问题求解的适定性,使用牛顿迭代法获得精确解。数值模拟和试验结果表明,该方法不仅可以高精度地重建悬臂梁在不同载荷作用下的变形,而且可以监测活动断裂带作用下管道的完整变形过程。在应对严重地质灾害地区管道结构大变形监测问题方面具有很大的潜力。

     

    Abstract: Long-distance transport pipelines are prone to produce large deformation under the influence of severe geological hazards, such as active fault belts and goaf subsidence areas, which may lead to critical safety incidents, such as oil and gas leaks or explosions. To address the challenge of the large deformation monitoring and shape reconstruction of pipeline structures, a novel inverse absolute nodal coordinate formulation (iANCF) is proposed upon the inverse finite element method (iFEM) and upon the absolute nodal coordinate formulation (ANCF). Focusing on the large deformation of a planar cantilever beam, the iANCF plane beam element is constructed. A weighted least-squares functional is established using the absolute coordinates and angles of the nodes to be determined, along with the bending curvature and axial strain derived from the known surface strain. By introducing the curvature continuity boundary condition and, by simplifying the node degrees of freedom, the well-posed nature of problem is ensured, and the accurate solution can be obtained through Newton method. Finally, the numerical simulations and test results show that the method can reconstruct the deformation with high precision of a cantilever beam under different loads, and thusly monitor the complete deformation process of a pipeline with the action of active fault belts. It has great potential power in solving the large deformation monitoring problem of pipeline structures in severe geological hazard areas.

     

/

返回文章
返回