储液容器内液体晃荡的非线性动力学分析

李文盛; 赵友清; 贾善坡; 王凯; 谭继可

储液容器内液体晃荡的非线性动力学分析

李文盛¹,
赵友清^1, ,,
贾善坡^{1, 2, 3},
王凯¹,
谭继可¹

1.
长江大学城市建设学院，湖北荆州 434023
2.
山东大学岩土与结构工程研究中心，山东济南 250061
3.
中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，湖北武汉 430071

基金项目: 国家自然科学基金项目（50978033）；湖北省教育厅科学研究计划项目（Q20101301）

详细信息

作者简介:
李文盛(1968—), 男, 副教授, 硕士生导师

通讯作者:
Zhao You-qing, z_uqing@163.com

中图分类号: O351.3
计量
- 文章访问数: 699
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- 被引次数: 0
出版历程
- 收稿日期: 2012-06-08
- 修回日期: 2012-10-15
- 刊出日期: 2014-01-25

Numerical analysis on liquid sloshing in storage container by nonlinear dynamics method

Li Wen-sheng¹,
Zhao You-qing^{1
, ,},
Jia Shan-po^{1, 2, 3},
Wang Kai¹,
Tan Ji-ke¹

1.
School of Urban Construction, Yangtze University, Jingzhou 434023, Hubei, China
2.
Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan250061, Shandong, China
3.
State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, Hubei, China

Funds: Supported by the National Natural Science Foundation of China (50978033)

摘要

摘要: 基于非线性波动理论模型，求解储液容器内液体晃动的固有频率、模态及动力学响应问题。流体使用u_s-u_p状态方程，利用ABAQUS软件的自适应网格技术，建立储液容器液体晃动数学模型，通过施加水平简谐激励得到液体晃动的固有频率和模态，并与解析解对比，验证了该方法的准确性与可行性。然后，分析了矩形储液容器在多种激励作用下液体非线性晃动响应特性。
- 流体力学 /
- 模态 /
- 非线性动力学 /
- 液体晃动 /
- 充液容器 /
- 地震响应
Abstract: Based on the nonlinear wave theory, a mathematical model was proposed by applying the adaptive meshing technique in the ABAQUS code.And in the proposed model, the linear u_s-u_p Hugoniot equation of state was used for liquid.By using the proposed model, nonlinear harmonic response simulations were performed to numerically obtain the eigenfrequencies and the modals of the liquid sloshing in the tank－liquid system subjected to horizontal excitations.And the numerical results were compared with the analytical solutions to illuminate the reliability and availability of the proposed method.Finally, the nonlinear sloshing response characteristics of a rectangular liquid storage container were analyzed under a variety of excitations.
- fluid mechanics /
- modal /
- nonlinear dynamics /
- liquid sloshing /
- liquid-filled container /
- seismic response

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图 1 非线性波动理论模型

Figure 1. The 2D model considering nonlinear wave theory

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图 2 储液系统晃动波高

Figure 2. Surface wave displacement for the tank－liquid system

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图 3 不同谐频下自由液面点B的波面响应

Figure 3. Free surface elevation of poit B for harmonic frequencies

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图 4 第1阶频率作用下液体晃动波高曲线

Figure 4. Variation in time of the surface wave in the first sloshing mode

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图 5 第1阶液体晃动模态图和液体晃动位移矢量图

Figure 5. Liquid shapes corresponding to the first sloshing mode and displacement vector plot

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图 6 不同幅值激励下液体晃动的波高曲线

Figure 6. Free surface elevation of liquid for different amplitudes

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图 7 EI Centro地震波和液面点A、B液体晃动的波高曲线

Figure 7. EI Centro seismic wave and free surface displacement curve at points A and B

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表 1 液体自由晃动频率

Table 1. Frequencies of liquid sloshing

n	ω_num/(rad·s^-1)	ω_ana/(rad·s^-1)	ε_ω/%
1	3.20	3.20	0
2	4.51	4.52	0.221 2
3	5.60	5.53	1.265 8

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参考文献(13)

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