## 留言板

 引用本文: 曾晓辉, 沈晓鹏, 吴应湘. 张力腿平台有限振幅运动的方程和数值解[J]. 应用数学和力学, 2007, 28(1): 34-44.
ZENG Xiao-hui, SHEN Xiao-peng, WU Ying-xiang. Governing Equations and Numerical Solutions of Tension Leg Platform With Finite Amplitude Motion[J]. Applied Mathematics and Mechanics, 2007, 28(1): 34-44.
 Citation: ZENG Xiao-hui, SHEN Xiao-peng, WU Ying-xiang. Governing Equations and Numerical Solutions of Tension Leg Platform With Finite Amplitude Motion[J]. Applied Mathematics and Mechanics, 2007, 28(1): 34-44.

## 张力腿平台有限振幅运动的方程和数值解

###### 作者简介:曾晓辉(1972- ),男,湖南人,副研究员,博士(联系人.E-mail:zxh@imech.ac.cn).
• 中图分类号: P732；U674

## Governing Equations and Numerical Solutions of Tension Leg Platform With Finite Amplitude Motion

• 摘要: 论证了张力腿平台（TLP）在波浪作用下发生有限振幅运动时，所受惯性力、粘性力、浮力等载荷不仅与波浪场有关，还与瞬时响应有关，是响应的非线性函数；张力腿拉力也是各自由度位移的非线性函数．所以分析TLP受力时必须考虑平台的瞬时加速度、速度和位移，在瞬时位置建立运动方程．据此推导出TLP发生有限振幅运动时的外力计算公式，建立了TLP 6自由度有限振幅运动非线性控制方程．其中考虑了由6自由度有限位移引起的多种非线性因素，如各自由度之间的耦合、瞬时湿表面、瞬时位置等；还包括自由表面效应、粘性力等因素引起的非线性．用数值方法求解所得到的非线性运动方程．对典型平台ISSC TLP进行了数值分析，求得该平台在规则波作用下的6自由度运动响应．用退化到线性范围的解与已有解进行了对比，吻合良好．数值结果表明，综合考虑非线性因素后响应有明显改变．
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##### 出版历程
• 收稿日期:  2006-03-13
• 修回日期:  2006-10-10
• 刊出日期:  2007-01-15

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