拖缆动力学离散化计算的后处理方法研究  

Research on post-processing of dynamics calculation of discretized towed cables

作　　者：沈晓玲[1] 连琏[1] 徐雪松[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《海洋工程》2011年第2期111-116,121,共7页The Ocean Engineering

基　　金：国家863计划资助项目(2009AA09A201-1);博士点基金科研项目(20090073120013)

摘　　要：拖缆的计算一般都是将拖缆离散化,建立非线性的动力学平衡方程组,通过龙格库塔法、Newton-Raphson迭代法等方法对非线性方程组进行求解。本方法是先将拖缆离散成若干段,列出离散段节点处的水动力学方程,并进一步建立节点处关于角加速度的线性平衡方程组,通过对角加速度的求解计算来解决拖揽的动力学问题。在计算过程中,将拖揽节点处关于角度的非线性问题转化为角加速度的线性问题,简化了求解非线性方程组的计算过程,避免了非线性方程组迭代求解中的初始点问题。Generally speaking,the non-linear balance equations of the towed cables are established,and the common method is to solve the non-linear equations directly with Runge-Kutta or Newton-Raphson method.In this paper,the towed-cables are discretized to a number of sections,and the linear differential balance equations about the angular acceleration at the nodes are built up.The non-lineas problem of cable dynamics is solved by translating it to a linear problem about the angular acceleration.This method makes the solution become simple and avoids the initial-point disadvantage in solving the non-linear problems.

关 键 词：拖缆 动力学 离散化 后处理 

分 类 号：P756.1[天文地球—海洋科学]