基于均匀化的螺旋骨架复合柔性低温管道等效力学性能分析

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摘要 FLNG（Floating Liquefied Natural Gas）是一种集LNG（液化天然气）的液化、存储、装卸为一体的新型海上浮式生产系统，螺旋骨架复合柔性低温管道是其中关键的核心配套装备，然而其结构形式复杂，各结构层之间存在着大量的接触、摩擦等非线性问题，使得理论建模与数值分析求解较为困难。针对螺旋骨架复合柔性低温管道的一维周期性特征，基于渐近均匀化理论的新方法（Novel Implementation of Asymptotic Homogenization method，NIAH），建立螺旋骨架复合柔性低温管道的微单胞模型并施加周期性边界条件，求解得到宏观结构的等效刚度参数。通过与精细有限元模型计算结果对比，发现其等效误差在3.60% 以内，计算成本缩减了约32倍，验证了基于NIAH等效方法的准确性与高效性。此外，针对管道螺旋缠绕结构特征，提出了双对称边界条件施加方法，其结果比传统的单对称边界条件减少了78.00% 的误差。最后，总结了不同周期性边界条件适用的结构特点，为螺旋骨架复合柔性低温管道的结构设计与分析提供了可靠、快速的等效计算方法。

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	英玺蓬1
	耿东岭1
	曹慧鑫1
	张凯仑1
	步宇峰1
	杨志勋2
	阎军1

关键词 ：螺旋骨架复合柔性低温管道, 渐近均匀化方法, 双对称周期性边界条件, 等效刚度计算

Abstract：FLNG (Floating Liquefied Natural Gas) is a new offshore floating production system that liquefies, stores, and unloads Liquefied Natural Gas (LNG). Helical framework cryogenic pipe is one piece of the most important equipment in the system. However, the structure of the helical framework cryogenic pipe is complex. There are a lot of nonlinear problems such as contact and friction between structural layers. As a result, it is quite difficult for theoretical modeling and numerical analysis. The obvious one-dimensional periodicity of helical framework cryogenic pipe is focused on in this paper. Based on the Novel Implementation of Homogenization method (NIAH), the microcell model of helical framework cryogenic pipe is established and the periodic boundary conditions are applied to solve the equivalent mechanical properties of the macro structure. The equivalent method based on NIAH is validated by comparing with the calculated results of fine finite element model. It is found that the relative error is within 3.60% and the calculation cost is reduced by 32 times approximately. In addition, for the structure characteristics of spiral wound hose, a new method of applying double symmetric boundary conditions is proposed, which reduces the error by 78.00%, compared with the traditional single symmetric boundary conditions. Finally, the different equivalent stiffness results based on different periodic boundary conditions are compared and the structural characteristics of the different periodic boundary conditions are summarized. It provides a reliable and fast equivalent calculation method for structure design and analysis of the helical framework cryogenic pipe.

Key words： Helical framework cryogenic pipe Asymptotic homogenization method Double symmetric periodic boundary condition Equivalent stiffness calculation

收稿日期: 2022-08-09 出版日期: 2023-07-15

引用本文:

英玺蓬1，耿东岭1，曹慧鑫1，张凯仑1，步宇峰1，杨志勋2，阎军1. 基于均匀化的螺旋骨架复合柔性低温管道等效力学性能分析[J]. 振动与冲击, 2023, 42(13): 10-16.
YING Xipeng1, GENG Dongling1, CAO Huixin1, ZHANG Kailun1, BU Yufeng1, YANG Zhixun2, YAN Jun1. Equivalent mechanical properties of spiral skeleton composite flexible low-temperature pipeline based on NIAH. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(13): 10-16.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I13/10

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