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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。
In this paper, the transfer matrix method is used to study the spectrum analysis of random vibration of floating drilling riser. In the analysis, the riser was simplified as a beam under random and axial loads. In this paper, the cubic Hertnitc interpolation polynomial is used to express the distribution of inertial forces, and the formula for calculating the random response of beams is deduced. The transfer matrix method is better than the dynamic response of the floating pontoon to the dynamic response and hydrodynamic damping. The FORTRAN program is compiled according to the formula in this paper, and the random solutions of deflection, corner, moment and stress can be obtained. The examples in T.C.Tucker are calculated and the results are very close to the original. The results show that: (1) the better value of the top tension may appear, which makes the dynamic response value smaller; (2) the pontoon motion has a greater impact on the dynamic response, which should be considered in the dynamic analysis; (3) great influence. Accurate dynamic analysis of the structure should be based on long-term accumulation of reliable ocean wave information.