Citation: | SONG Qinghui, XIAO Linjing, JIANG Haiyan, LIU Xiujie, YAN Fangping. Longitudinal Vibration Characteristics of Deep Sea Mining Pipe Based on ABAQUS[J]. Journal of Southwest Jiaotong University, 2022, 57(4): 821-829. doi: 10.3969/j.issn.0258-2724.20210389 |
In order to study the longitudinal vibration characteristics of the stepped lifting pipe with a complex structure under the action of the ocean current and mining vessel heave motion, the longitudinal vibration performance of a 5000 m long lifting pipe was analyzed using the vibration theory of continuous elastic rod. Firstly, a mathematical model of the longitudinal vibration of the lifting pipe was established according to the D’Alembert principle, and the natural frequency equation of the pipeline was derived by the method of separating variables. Then, the mass normalization of the vibration mode was carried out. Finally, a finite element model of the lifting pipe was established using ABAQUS software to study the longitudinal dynamic response of the pipeline. The results show that the first-order longitudinal resonance frequency of the lifting pipe is in the frequency band where the wave energy is concentrated in the mining area. With an increase in the buffer mass, the natural frequency of the lifting pipe decreases gradually, and the influence of the buffer mass on the high-order natural frequencies becomes more obvious. With the wave frequency increasing, the longitudinal amplitude, axial force and axial stress first increase and then decrease, and reach their peaks at the first-order natural frequency, which occurs at 5000, 0 and 1000 m along the lifting pipe length, respectively. As the heave amplitude of the mining vessel increases, the dynamic response of the lifting pipe increases gradually; after the heave amplitude is greater than 1.5 m, the growth rate of the dynamic response of the lifting pipe slows down. When the first-order longitudinal resonance occurs in the lifting pipe, the vibration displacement and axial force first increase and then make constant-amplitude steady-state oscillation. With the increase of seawater depth, the vibration amplitude along the length of the pipe increases gradually, the vibration equilibrium position moves down, and the vibration response time is delayed; meanwhile, the axial force and axial stress decrease gradually, and the axial stress between each pipe string segment increases sharply.
[1] |
韩春杰. 深水平台钻井钻柱耦合振动及模拟分析[D]. 大庆: 大庆石油学院, 2010.
|
[2] |
WU Q, YANG J M, LU H N, et al. Effects of heave motion on the dynamic performance of vertical transport system for deep sea mining[J]. Applied Ocean Research, 2020, 101: 102188. doi: 10.1016/j.apor.2020.102188
|
[3] |
WANG Y B, GAO D, FANG J. Longitudinal vibration analysis of marine riser during installation and hangoff in ultra deepwater[J]. Computer Modeling in Engineering & Sciences, 2016, 111(4): 357-373.
|
[4] |
WANG S W, XU X S, LU X. Movement optimization of freely-hanging deepwater risers in reentry[J]. Ocean Engineering, 2016, 116: 32-41. doi: 10.1016/j.oceaneng.2016.02.029
|
[5] |
LIU J, ZHAO H L, LIU Q Y, et al. Dynamic behavior of a deepwater hard suspension riser under emergency evacuation conditions[J]. Ocean Engineering, 2018, 150: 138-151. doi: 10.1016/j.oceaneng.2017.12.050
|
[6] |
THORSEN M J, CHALLABOTLA N R, SAEVIK S, et al. A numerical study on vortex-induced vibrations and the effect of slurry density variations on fatigue of ocean mining risers[J]. Ocean Engineering, 2019, 174: 1-13. doi: 10.1016/j.oceaneng.2019.01.041
|
[7] |
邱显焱,汤迎红. 附加单个动力吸振器的扬矿子系统纵向振动仿真分析研究[J]. 机械强度,2014,36(3): 335-339.
QIU Xianyan, TANG Yinghong. Simulation study of longitudinal vibration for lifting pipe with single dynamic vibration absorber[J]. Journal of Mechanical Strength, 2014, 36(3): 335-339.
|
[8] |
肖林京,左帅,于志豪. 深海采矿扬矿管的纵向振动分析[J]. 科学技术与工程,2020,20(18): 7213-7219.
XIAO Linjing, ZUO Shuai, YU Zhihao. Longitudinal vibrations analysis of lifting pipe in deep-sea mining[J]. Science Technology and Engineering, 2020, 20(18): 7213-7219.
|
[9] |
肖林京,刘强,梁彬. 基于波流联合作用的深海采矿扬矿管纵向振动分析[J]. 矿业研究与开发,2019,39(11): 147-150.
XIAO Linjing, LIU Qiang, LIANG Bin. Longitudinal vibration analysis of hoisting pipe in deep-sea mining based on combination action of wave and current[J]. Mining Research and Development, 2019, 39(11): 147-150.
|
[10] |
LIU Q, XIAO L J. Analysis and research on longitudinal vibration characteristics of deep sea mining pipe based on finite element method[J]. Mathematical Problems in Engineering, 2020, 3: 8219794.1-8219794.18.
|
[11] |
SPARKS C. Transverse modal vibrations of vertical tensioned risers. a simplified analytical approach[J]. Oil & Gas Science and Technology, 2002, 57(1): 71-86.
|
[12] |
SOLTANAHMADI A. Determination of flexible riser natural frequencies using Fourier analysis[J]. Marine Structures, 1992, 5(2/3): 193-203.
|
[13] |
CHENG Y, VANDIVER J K, MOE G. The linear vibration analysis of marine risers using the wkb-based dynamic stiffness method[J]. Journal of Sound and Vibration, 2002, 251(4): 750-760. doi: 10.1006/jsvi.2001.3843
|
[14] |
XI L Y, LI X F, TANG G J. Free vibration of standing and hanging gravity-loaded Rayleigh cantilevers[J]. International Journal of Mechanical Sciences, 2013, 66: 233-238. doi: 10.1016/j.ijmecsci.2012.11.013
|
[15] |
WU Q, YANG J M, GUO X X, et al. Influence of irregular waves on the dynamic response of a vertical transport system for deep sea mining[J]. Ocean Engineering, 2021, 229: 108443.1-108443.18.
|
[16] |
王明峰. 深海采矿船运动模拟平台系统控制方法研究[D]. 长沙: 中南大学, 2012.
|
[17] |
SONG Q H, JIANG H Y, SONG Q J, et al. Vibration characteristics and reduction analysis of lifting pipe under ocean current[J]. Shock and Vibration, 2021, 2021: 2778243.1-2778243.20.
|
[18] |
CHEN W M, LI M, GUO S X, et al. Dynamic analysis of coupling between floating top-end heave and riser’s vortex-induced vibration by using finite element simulations[J]. Applied Ocean Research, 2014, 48: 1-9. doi: 10.1016/j.apor.2014.07.005
|
[19] |
操芹,夏鹏飞,汪轲,等. 基于模态分析的某皮卡发动机罩分析方法研究[J]. 汽车实用技术,2015(5): 1-3,6. doi: 10.3969/j.issn.1671-7988.2015.05.001
CAO Qin, XIA Pengfei, WANG Ke, et al. Based on modal analysis of a pickup hood analysis method research[J]. Automobile Applied Technology, 2015(5): 1-3,6. doi: 10.3969/j.issn.1671-7988.2015.05.001
|
[20] |
王文明. ABAQUS有限元分析与案例精通: 在海洋石油工程中的应用[M]. 北京: 机械工业出版社, 2017.
|