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本文用二维管梁矩阵迭代法解海洋立管的大位移弯曲,把管梁的几何非线性问题化为一系列线性解的迭代,通过实例,将计算结果与精确微分方程的积分解进行比较,结果完全一致。这说明大位移矩阵迭代解法具有方法简便,精度高,省机时等优点.文章还以我国南海油田深水浮式生产系统的立管,在不同的张紧力及钻井船横向漂移下,作参数选择系列计算,从数值计算结果表明,对处于大位移变形状态下的立管,如果沿用小位移经典解,将会引起很大的偏差,因此大位移矩阵迭代法是解决海洋立管问题的有效方法,当然它也适用于海洋管道工程中的检管及铺管计算。
In this paper, we use the two-dimensional tube-beam matrix iterative method to solve the large displacement buckling of marine risers and transform the geometrical nonlinearity of the tube girder into a series of iterations of linear solutions. By comparing the results with those of the exact differential equations The result is exactly the same. This shows that the large displacement matrix iterative method has the advantages of simple method, high precision, saving time and so on.The article also takes the standpipe of the deepwater floating production system of Nanhai Oilfield in China under different tension and horizontal drift of the drilling vessel as parameters The series of calculations are selected. The numerical results show that the riser under large displacements will cause great deviation if the classical solution with small displacements is used. Therefore, the large displacement matrix iteration method is effective to solve the problem of the marine riser Method, of course, it also applies to the marine pipeline engineering, pipe and pipe calculation.