深水钻井隔水导管挠曲方程及固有频率研究

摘要

Based on actual behavior of deepwater drilling riser, the flexure equation of riser with the lower end holding down and the upper end being free is built up by using displacement variation principle, and considering pulling force, weight and angle of declination. Then the calculation e-quation of natural frequency is derived. By calculation of cases, the affect factors on natural frequency are analyzed from angle of declination, size, pulling force and water depth. The results are significant for the deepwater drilling.%从深水钻井隔水导管的实际情况出发,采用一端铰支、一端自由的约束方式,应用弹塑性力学中的位移变分原理,考虑隔水导管所受到的轴向张力、自重以及隔水导管倾斜角,建立了隔水导管挠曲方程,并由此推导出了隔水导管固有频率的计算公式.通过算例,分析了隔水导管倾斜角、几何尺寸、张力以及水深对隔水导管固有频率的影响,对深水钻井作业有一定的指导意义.