Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water
Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water
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水中椭圆空心圆柱体地震诱发动水压力解析解及简化公式
DOI：
10.1016/j.oceaneng.2017.11.019
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发表时间：
2018-01
影响因子：
5
通讯作者：
Du Xiuli
中科院分区：
文献类型：
--
作者：
Wang Piguang;Zhao Mi;Du Xiuli
得到了地震作用下椭圆空心柱体在内外水作用下动水压力的解析表达式。基于辐射理论，通过合理地设置边界条件，在椭圆坐标系下求解Mathieu微分方程，精确地导出了椭圆空心柱体上的水压力和水动力的解析解。附加的质量表达式分布在整个高度的圆柱体被用来表示水动力相互作用的影响，这是从水动力表达式提取。这些附加质量的表达式非常复杂，导致其值难以计算。因此，本研究对这些附加质量表达式进行了无量纲化处理，并采用曲线拟合的方法进行了简化。简化公式仅与宽深比、椭圆长短轴比和距基面相对距离三个无量纲参数有关。计算结果表明，简化公式与解析解吻合较好。
Analytical expressions for calculating the hydrodynamic pressure on an elliptical hollow cylinder caused by outer and inner water under earthquake are obtained. Based on the radiation theory, the analytical solutions of hydrodynamic pressure and hydrodynamic force on elliptical hollow cylinder are accurately derived by assigning reasonable boundary conditions and by solving the Mathieu's differential equation in elliptical coordinate system. Added mass expressions distributed over the height of the cylinder are used to represent the hydrodynamic interaction effects, which are extracted from the hydrodynamic force expressions. These added mass expressions are so complicated that lead to their value difficult to be calculated. Therefore, these added mass expressions are dealt with dimensionless method and are simplified by curve fitting method in this study. The simplified formulas are only relevant to three dimensionless parameters including width-depth ratio, ratio of long to short axis of the ellipse and relative distance above base. The calculation results show that the simplified formulas are in good agreement with the analytical solutions.
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影响因子：
4.5
作者：
C. Liaw;A. Chopra
通讯作者：
C. Liaw;A. Chopra
影响因子：
5
作者：
A. N. Williams
通讯作者：
A. N. Williams
影响因子：
5
作者：
Qiao Li;Wanli Yang
通讯作者：
Qiao Li;Wanli Yang
DOI：
10.1061/(asce)0733-9399(1997)123:5(458
发表时间：
1997-05
期刊：
Journal of Engineering Mechanics-asce
影响因子：
--
作者：
Bang Chen
通讯作者：
Bang Chen
DOI：
--
发表时间：
2008
期刊：
Journal of Southwest Jiaotong University
影响因子：
--
作者：
Zhu Weilin
通讯作者：
Zhu Weilin