Abstract: In the analysis, the drilling risers are simplified as beams under axial and transverse random wave and current loads. The formulas for computing the random response are derived with the distributed inertia force represented by 3rd-order Hermite interpolation polynomials. The transfer matrix method can take the effects of floating vessel motions on the dynamic responses and the hydrodynamical damping into consideration much more easily than the modal superposition method. Based on the formulas given in the paper, a Fortran program is developed. The program produces random solutions to the deflections, angular displacements, bending moments and stresses of drilling resers. Calculation for the example given in T.C. Tucker's paper gare very close results to the data in the original paper. In addition,(1)There is anoptimum top tension which makes the dynamic response a minimum.(2)The floating vessel motion has a considerable effect on the dynamic response, so it must be considered in the analysis.(3)The wave spectrum has a very large effect on the dynamic response. In order to get an accurate dynamic analysis, a reliable wave spectrum obtained from long-time observation should be used in calculation.

摘要： 本文应用传递矩阵法研究了浮动钻井隔水管随机振动的谱分析。在分析中,隔水管被简化为在轴向和横向随机载荷作用下的梁。文中以三次Hertnitc插值多项式表示分布惯性力,推导出梁随机响应的计算公式。传递矩阵法比振型迭加法便于考虑浮船运动对动力响应的影响和水动力阻尼。按照本文公式编制了FORTRAN程序,可求出挠度、转角、弯矩和应力的随机解。对T.C.Tucker一文中的例题进行计算,结果与原文十分接近。表明:(1)有可能出现顶部张力的较佳值,使得动力响应值较小;(2)浮船运动对动力响应有较大影响,在动力分析中应该考虑;(3)海浪谱对动力响应影响很大。对结构进行准确的动力分析,应采用长期积累的可靠的海浪信息。