基于向量式有限元的深水顶张力立管动力响应分析

李效民,张林,牛建杰,韩永庆,郭海燕

振动与冲击 ›› 2016, Vol. 35 ›› Issue (11) : 218-223.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (11) : 218-223.
论文

基于向量式有限元的深水顶张力立管动力响应分析

  • 李效民,张林,牛建杰,韩永庆,郭海燕
作者信息 +

Dynamic response analysis of deep-sea top tensioned riser by vector form intrinsic finite element method

  • LI Xiao-min, ZHANG Lin,Niu Jian-jie,HAN Yong-qing, Guo Hai-yan
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文章历史 +

摘要

向量式有限元法亦称有限质点法是以向量式力学与数值计算为基础的一种结构行为分析的创新性方法。该方法将结构离散为一系列质点的集合,质点间采用单元连接,单元没有质量,只承受内力,质点的运动则直接采用牛顿第二定律来表达,采用中央差分的显式积分法求解质点群各时刻运动方程。首次将该方法应用于顶张力立管的动力行为分析中,采用平面弯曲杆件元模拟质点间的相互作用力,推导了立管质点运动公式,编制相应Matlab求解程序,计算了立管在海流、波浪作用下的动力响应特性并与基于传统有限元法的结果进行了对比分析,表明该方法在立管行为分析中的正确和有效性,并指出了该方法在处理其它立管形式行为分析中的优势。

Abstract

The vector form intrinsic finite element method (VFIFE) which is also called finite particle method (FPM), is an innovative method in the structural behavior analysis based on the vector mechanics and numerical calculations. In this method, the structure is discretized into finite particles which are connected by weightless elements that can only resist internal forces, and the motion of paticles follows Newton’s second law. The motion equation is solved by explicit time integration with central difference method. VFIFE is first adoped in the analysis of the dynamic behavior of top tensioned riser (TTR) and the plane beam element is adoped in the simulation of the interaction forces between the particles. The particle motion equation of the riser is derived and the corresponding solving program is compiled with Matlab. The dynamic behavior of the riser under the current and wave excitation is calculated and the results are compared with the results derived by finite element method (FEM). The analysis results show that the VFIFE is correct and effective in the dynamic behavior analysis of riser and it has more advantageous than traditional methods in the riser complex behavior analysis.

关键词

向量式有限元(VFIFE) / 有限元法(FEM) / 向量式力学 / 顶张力立管(TTR)

Key words

vector form intrinsic finite element method (VFIFE);finite element method (FEM);vector mechanics / top tensioned riser (TTR)

引用本文

导出引用
李效民,张林,牛建杰,韩永庆,郭海燕. 基于向量式有限元的深水顶张力立管动力响应分析[J]. 振动与冲击, 2016, 35(11): 218-223
LI Xiao-min, ZHANG Lin,Niu Jian-jie,HAN Yong-qing, Guo Hai-yan. Dynamic response analysis of deep-sea top tensioned riser by vector form intrinsic finite element method[J]. Journal of Vibration and Shock, 2016, 35(11): 218-223

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