摘要
系泊缆索会受到非线性流体动力的作用,还会出现大的位移。采用三维弹性梁理论模型,把缆索看作是等拉伸刚度、等弯曲刚度的细长结构,采用非线性有限元法求解缆索的运动方程。用牛顿迭代法计算系泊缆索的静力平衡状态。对于缆索的动力响应方程,采用隐式、显式混合的数值格式,最终将方程化为显式格式进行求解,提高了计算效率;使用高阶单元,只需要较少的单元就可以得到收敛解。计算结果表明,该计算方法能较准确地描述系泊缆索的非线性特征,且适用于缆索大变形条件下的动力响应分析。
Nonlinear hydrodynamic force applied on the rod and geometric nonlinearity of the rod is considered. Three-dimensional elastic rod theory, which is expanded to include the line stretch, is applied to modeling mooring lines and risers. Finite element method is used to obtain numerical solution. For the static problem, the iterative method, that is, Newton＇s method is used to solve the nonlinear equations. For the dynamic problem, the integration, which possesses a mixture of implicit and explicit scheme, is developed, and equations with explicit scheme are obtained. Higher-order element is used so that the number of elements is reduced greatly and the result is reliable. It is shown that the nonlinear finite element method is suitable for describing nonlinear characters of the mooring lines and the analysis methods are suitable for large amplitude motion in time domain.
出处
《中国造船》
EI
CSCD
北大核心
2012年第2期39-50,共12页
Shipbuilding of China
基金
国家自然科学基金资助项目(50879090)
关键词
系泊缆索
非线性有限元法
动力响应
高阶单元
mooring lines
nonlinear finite element method
dynamic response
higher-order element
