含分布浮体的复杂构型深海缆线的动响应及其时空演化

郭双喜; 陈伟民; 严定邦; 宋吉祥; 沈义俊

doi:10.6052/0459-1879-22-238

含分布浮体的复杂构型深海缆线的动响应及其时空演化

doi: 10.6052/0459-1879-22-238

郭双喜^{*, †},
陈伟民^{*, †,},
严定邦^{*, **},
宋吉祥^{*, ††},
沈义俊^***

*.
中国科学院力学研究所, 北京 100191
†.
中国科学院大学, 北京 100191
**.
湖南应用技术学院, 湖南常德 415100
††.
中国水利水电科学研究院流域水循环模拟与调控国家重点实验室, 北京100038
***.
海南大学, 海口570228

基金项目: 中科院先导项目 (XDA22000000), 南海海洋资源利用重点实验室开放基金(MRUKF2021027)资助

详细信息

作者简介:
陈伟民, 研究员, 主要研究方向: 海洋和航空工程中的结构流固耦合动响应. E-mail: wmchen@imech.ac.cn

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出版历程
- 收稿日期: 2022-05-31
- 网络出版日期: 2022-08-01

DYNAMIC RESPONSE AND SPATIAL-TEMPORAL EVOLUTIONS OF DEEP-WATER COMPLEX CONFIGURATION CABLES WITH DISTRIBUTED BUOYANCY MODULES

Guo Shuangxi^{*, †},
Chen Weimin^{*, †
,},
Yan Dingbang^{*, **},
Song Jixiang^{*, ††},
Shen Yijun^***

*.
Institute of Mechanics, Chinese Academy of Science, Beijing 100191, China
†.
University of Chinese Academy of Sciences, Beijing 100049, China
**.
Hunan Applied Technology University, Changde, Hunan 415100, China
††.
State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
***.
Hainan University, Haikou 570228, China

摘要

摘要: 深水柔性缆线是深海资源开采系统的重要组成部分, 随着水深的增加, 深水缆线长径比达10³, 结构柔性变得很大, 且沿展向非均匀分布的浮力模块, 使得缆线构型变得更加复杂、张力等结构参数沿展向变化, 这使得环境载荷作用、海面船体运动等激励作用下的缆线流固耦合响应变得更加复杂, 给结构安全带来严峻挑战. 本文针对Double-stepped这种新构型深水缆线, 基于其流固耦合特性和载荷模型表征, 建立了含分布浮体的深水缆线动力学控制方程, 并结合有限元数值模拟和水箱模型实验, 进行了复杂构型缆线的动响应研究. 考察规则波和极端波浪环境载荷作用、海面船体运动等激励因素对结构响应的影响, 给出位移和张力等响应的时空演化规律, 并基于WKB理论分析了变参数结构响应幅值和波长的演化规律和机理. 结果表明: 结构响应沿着缆线长度向下传播过程中非单调变化, 在低张力区域会出现局部峰值; 由于分布浮体的存在使得结构参数轴向变化且不连续, 响应时空演化变得更加复杂, 呈现驻波、行波混合效应, 而且张力不但会影响位移幅值, 还会引起响应传播过程中的波长改变.
- 复杂构型 /
- 流固耦合 /
- 动响应 /
- 波传播 /
- 非均匀结构
Abstract: Long flexible cables is one of important parts of complex systems used in explorations and exploitations of ocean resources, particularly in deep or even ultra-deep water. These flexible cables, with large aspect ratio usually at level of 10³, need to be installed with distributed buoyancy modules along its body length. In that case, these distributed buoyancy modules make deep-sea cable configuration more complex and, moreover, their structural properties, such as structural tension and mass, are axially-changing. Thus structural motion response and its spatial-temporal evolutions become more complicated, which brings serious challenges to structural safety. In this study, a novel structural configuration, i.e. the double-stepped cable, is considered, and the dynamic governing equations of deep-water cable with distributed buoyancy modules are developed, principally based on the particular fluid-solid interaction characteristics and its coupling representation of the loadings, along with the experimental observations and verifications using our experimental water tank. The numerical simulations of the double-stepped cable dynamic response are carried out using the modified finite element approach. The responses and its corresponding propagations of the double-stepped cables, in terms of structural displacement and tensions along cable length, under environmental loadings and top-end excitations are comprehensively examined. In addition, the evolutions of displacement amplitudes and wavelengths of this kind of structure with axially-varying tension are explained based on the WKB theory. Our results show that the response does not change monotonously as it propagates along the cable length, and a local peak value may appear in the region with lower tension. Owing to the distributed buoyancy modules, along with axially-varying and discontinuous structural properties, the response spatial-temporal evolutions becomes more variant. There are mixed effects coming from both standing wave and traveling wave. It is also found that structural tensions not only affect the response amplitude significantly, also cause changes of wavelength during the process of response propagation.
- complex configuration /
- fluid-solid coupling /
- dynamic /
- wave propagation /
- no-uniform structure

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图 1 缆线整体结构示意图

Figure 1. Schematic of double-stepped cable

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图 2 柔性结构流固耦合响应实验平台

Figure 2. Experimental platform for fluid-solid coupling response of flexible cable

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图 3 柔性缆线响应数值和实验结果对比

Figure 3. Comparisons between numerical and experimental results of flexible cable response

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图 4 Double-stepped缆线的浮体分布和构型

Figure 4. Buoyancy distribution and configurations of double-stepped cable

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图 5 缆线RMS位移和张力对比

Figure 5. Comparisons of RMS displacement and tension

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图 6 Case 1缆线位移的时空演化结果

Figure 6. Spatial-temporal evolutions of cable displacement in Case 1

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图 7 两种海况下RMS位移沿结构展向分布

Figure 7. Distributions of RMS displacements for two loading cases

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图 8 极端海况缆线位移时空演化云图

Figure 8. Spatial-temporal evolutions of cable displacement under extreme wave condition

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图 9 缆线构型和固有频率随船体偏移幅值的变化

Figure 9. Cable configurations and natural frequencies with different vessel offsets

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10 缆线均方根位移响应

10. RMS displacement responses

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10 缆线均方根位移响应(续)

10. RMS displacement responses (continued)

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图 11 缆线位移时空云图

Figure 11. Spatial-temporal evolutions of cable displacements

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图 12 变参数缆线的频率数和波长分布

Figure 12. Frequency numbers and wavelengths of cable with axially-varying tension

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表 1 实验缆线参数

Table 1. Cable parameters of experiment

Parameter	Value	Parameter	Value
F_B	2.2 N	Distribution length of F_C	10 cm
F_C	4.2 N	Cable length	2.0 m
Location of buoyancy B S_B	0.66 m	L₁	0.5 m
Location of buoyancy C S_C	1.32 m	L₂	1.0 m
Distribution length of F_B	10 cm	Density per unit length	3.2 N/m

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表 2 Double-stepped缆线结构参数

Table 2. Structural parameters of double-stepped cable

Parameter	Value	Parameter	Value
Outer diameter	33.6 mm	Underwater weight	2.4 kg/m
Bending stiffness	82.0 N·m²	Safe load limit	125 kN
Axial stiffness	39.3 × 10³ kN	Minimum bending radius	0.95 m

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表 3 工况条件

Table 3. Loading cases

Cases	L₁	F₁	L₂	F₂
1	200~300 m	G/3	900~1000 m	G/2
2	200~300 m	G/3	900~1000 m	7 G/15

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表 4 1000~1500 m范围内响应对比 (A/D)

Table 4. Comparison of responses in 1000~1500 m region (A/D)

Cases	Peak 1	Peak 2	Peak 3	Peak 4	Valley 1	Valley 2	Valley 3	Average
A = 0	3.31	3.88	3.12	3.88	2.59	2.81	2.39	3.14
A = 150 m	3.34	4.09	3.16	4.86	2.25	2.27	1.87	3.12
A = 250 m	1.82	3.28	3.29	4.06	1.66	1.63	1.83	2.57

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