基于有限差分法刚性圆柱体涡激振动响应特性数值研究

doi:10.19596/j.cnki.1001-246x.7815

计算物理 ›› 2019, Vol. 36 ›› Issue (1): 53-59.DOI: 10.19596/j.cnki.1001-246x.7815

基于有限差分法刚性圆柱体涡激振动响应特性数值研究

高云^1,2, 邹丽^3,4, 宗智³

1. 西南石油大学油气藏地质及开发工程国家重点实验室, 四川成都 610500;
2. 东京大学机械工程学院, 东京日本 113-8656;
3. 大连理工大学工业装备结构分析国家重点实验室, 辽宁大连 116024;
4. 高技术船舶与深海开发装备协同创新中心, 上海 200240

收稿日期:2017-12-18 修回日期:2018-01-20 出版日期:2019-01-25 发布日期:2019-01-25
作者简介:高云,男,副教授,硕士生导师,主要研究方向为海洋工程水动力学,E-mail:dutgaoyun@163.com
基金资助:
国家自然科学基金（51609206，51522902，51579040），国家留学基金（201608515007），青岛海洋科学与技术国家实验室开放基金（QNLM2016OPR0402）及中央高校基本科研业务费专项资金项目（DUT17ZD233）资助

Numerical Study of Response Performance of Vortex-Induced Vibration on a Rigid Cylinder Based on Finite Difference Method

GAO Yun^1,2, ZOU Li^3,4, ZONG Zhi³

1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploration, Southwest Petroleum University, Chengdu 610500, China;
2. School of Mechanical Engineering, The University of Tokyo, Tokyo 113-8656, Japan;
3. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
4. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China

Received:2017-12-18 Revised:2018-01-20 Online:2019-01-25 Published:2019-01-25

摘要/Abstract

摘要： 基于尾流振子模型对刚性圆柱体涡激振动响应特性进行数值研究.建立圆柱体结构振子及尾流振子之间的耦合方程，基于二阶精度中心差分格式对耦合模型先离散后迭代进行求解.对不同质量比及不同阻尼比圆柱体涡激振动响应的无量纲位移、无量纲升力、频率比及锁定区间等参数进行分析.结果表明数值方法可以很好地模拟刚性圆柱体的涡激振动响应特性.随着质量比的增加，锁定开始点逐渐延后，锁定结束点逐渐提前，锁定区间宽度逐渐变窄.

关键词: 涡激振动, 尾流振子模型, 锁定区间, 有限差分法

Abstract: Numerical study based on a wake oscillator model is conducted to determine response performance of vortex-induced vibration (VIV) on a rigid cylinder. A coupled model of structural oscillator of a rigid cylinder and wake oscillator is established, and then the model is discretized and solved based on a standard central finite difference method of the second order. VIV response characteristics including dimensionless displacement, dimensionless lift, and frequency ratio and lock-in region varied with mass ratios and damping ratios are compared. It can be found that the numerical method simulates response performances of vortex-induced vibration on a rigid cylinder very well. As dimensionless mass ratio increases, onset of lock-in region occurs later, lock-out point occurs earlier, and so the lock-in region becomes smaller.

Key words: vortex-induced vibration, wake oscillator model, lock-in region, finite difference method

中图分类号:

O357

高云, 邹丽, 宗智. 基于有限差分法刚性圆柱体涡激振动响应特性数值研究[J]. 计算物理, 2019, 36(1): 53-59.

GAO Yun, ZOU Li, ZONG Zhi. Numerical Study of Response Performance of Vortex-Induced Vibration on a Rigid Cylinder Based on Finite Difference Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(1): 53-59.

参考文献

[1] 邓枫, 伍贻兆, 刘学强. 用DNS数值模拟分离绕流中的旋涡运动[J]. 计算物理, 2008, 25(6):683-688.
[2] 谢志刚, 许春晓, 崔桂香, 等. 方柱绕流大涡模拟[J]. 计算物理, 2007, 24(2):171-180.
[3] BLEVINS R D. Flow-induced vibration[M]. 2nd ed. Malabar/Florida:Krieger Publishing, Inc, 2001.
[4] 刘松, 符松. 纵向受迫振荡圆柱绕流问题的数值模拟[J]. 计算物理, 2001, 18(2):157-162.
[5] 张永波, 郭海燕, 孟凡顺, 等. 基于小波变换的顶张力立管涡激振动规律实验研究[J]. 振动与冲击, 2011, 30(2):149-154.
[6] 康庄, 贾鲁生. 圆柱体双自由度涡激振动轨迹的模型试验[J]. 力学学报, 2012, 44(6):970-979.
[7] CHEN W L, ZHANG Q Q, LI H, et al. An experimental investigation on vortex induced vibration of a flexible inclined cable under a shear flow[J]. Journal of Fluids and Structures, 2015, 54:297-311.
[8] 唐友刚, 樊娟娟, 张杰, 等. 高雷诺数下圆柱顺流向和横流向涡激振动分析[J]. 振动与冲击, 2013, 32(13):88-92.
[9] ZHANG H, FAN C F, CHEN Z H, et al. An in-depth study on vortex-induced vibration of a circular cylinder with shear flow[J]. Computers and Fluids, 2014:100:30-44.
[10] ZHAO M, CHENG L, AN H W, Lu L. Three-dimensional numerical simulation of vortex-induced vibration of a elastically mounted rigid circular cylinder in steady current[J]. Journal of Fluids and Structures, 2014, 50:292-311.
[11] 高云, 王盟浩, 宗智, 等. 高雷诺数时分离盘长度对圆柱绕流特性的影响[J] 上海交通大学学报, 2017, 51(4):504-512.
[12] 陈伟民, 张立武, 李敏. 采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析[J]. 工程力学, 2010, 27(5):240-246.
[13] 郑中钦, 陈伟民. 结构与尾流非线性耦合涡激振动预测模型[J]. 海洋工程, 2012, 30(4):37-54.
[14] GROUTHIER C, MICHELIN S, BOURGUET R, et al. On the efficiency of energy harvesting using vortex-induced vibrations of cables[J]. Journal of Fluids and Structures, 2014, 49:427-440.
[15] XU K, GE Y, ZHANG D. Wake oscillator model for assessment of vortex-induced vibration of flexible structures under wind action[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2015, 136:192-200.
[16] FACCHINETTI M L, de LANGRE E, BIOLLEY F. Coupling of structure and wake oscillators in vortex-induced vibrations[J]. Journal of Fluids and Structures, 2004, 19:123-40.
[17] NAYFEH A H. Introduction to perturbation techniques[M]. New York:Wiley, 1993.
[18] BALASUBRAMANIAN S, SKOP R A, HAAN F L, et al. Vortex-excited vibrations of uniform pivoted cylinders in uniform and shear flow[J]. Journal of Fluids and Structures, 2000, 14:65-85.
[19] SARPKAYA T. Fluid forces on oscillating cylinders[J]. ASCE J Waterway, Port, Coastal, Ocean Div, 1978, 104, 275-290.
[20] BLEVINS R D, COUGHRAN C S. Experimental investigation of vortex-induced vibration in one or two dimensions with variable mass, damping and Reynolds number[J]. Journal of Fluid Engineering, Transactions of the ASME, 2009, 131(10):101202-7.Received date:2017-12-18; Revised date:2018-01-20

基于有限差分法刚性圆柱体涡激振动响应特性数值研究

Numerical Study of Response Performance of Vortex-Induced Vibration on a Rigid Cylinder Based on Finite Difference Method

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	孙杰, 程仁寨, 李云, 房洪杰, 汪洪波, 陈小龙. Au@碳球复合结构中Au颗粒位置调控光吸收[J]. 计算物理, 2021, 38(6): 735-741.
[2]	郑洲顺, 刘振, 耿婷婷, 吴晓新, 汤慧萍, 王建忠. 金属纤维烧结过程的分数阶模型[J]. 计算物理, 2019, 36(5): 595-602.
[3]	刘广东. 一种乳腺癌检测的改进微波共焦成像方法[J]. 计算物理, 2017, 34(1): 82-88.
[4]	刘广东, 余广群, 范士民. 德拜色散媒质的三维时域电磁逆散射技术[J]. 计算物理, 2015, 32(4): 455-468.
[5]	孙静静, 黄朝琴, 姚军, 李爱芬, 王代刚. 基于离散裂缝模型的低渗透油藏开发数值模拟[J]. 计算物理, 2015, 32(2): 177-185.
[6]	杨天春, 李好, 张辉. 探地雷达数值模拟中广义完全匹配层吸收边界条件的模拟分析[J]. 计算物理, 2014, 31(2): 200-206.
[7]	况晓静, 王道平, 张量, 吴先良, 沈晶, 沈勐. 基于紧致差分格式的高效时域有限差分算法[J]. 计算物理, 2014, 31(1): 91-95.
[8]	刘文超, 姚军, 王建忠. 低渗透多孔介质非达西渗流动边界界面追踪[J]. 计算物理, 2012, 29(6): 823-827.
[9]	刘丽娜, 朱峰, 徐常伟, 牛大鹏. 周期对称结构R-FDTD方法及其减元优化[J]. 计算物理, 2012, 29(6): 853-858.
[10]	刘洪, 王新海, 张福祥, 牛新年. 用拉普拉斯变换差分法求解试井分析中的-维渗流问题[J]. 计算物理, 2012, 29(2): 245-249.
[11]	冯乃星, 李建雄. 基于Z变换的高阶完全匹配层实现[J]. 计算物理, 2012, 29(2): 271-276.
[12]	赵朋程, 周海京, 唐涛, 林文斌, 廖成. FDTD结合DFT分析宽频高功率微波大气传播[J]. 计算物理, 2011, 28(4): 561-568.
[13]	王廷春, 郭柏灵. 随机Ginzburg-Landau方程的数值模拟[J]. 计算物理, 2010, 27(6): 919-926.
[14]	谭霞, 王雷, 王振东, 樊锡君. 少周期脉冲在稠密V型三能级介质中传播时的粒子布居演化[J]. 计算物理, 2009, 26(5): 773-780.
[15]	范征锋, 罗纪生. 用高精度有限差分法模拟烧蚀瑞利-泰勒不稳定性[J]. 计算物理, 2008, 25(6): 701-704.