Abst'/> Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water
首页> 外文期刊>Ocean Engineering >Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water
【24h】

Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water

机译:椭圆形空心圆柱在水中诱发地震动压的解析解和简化公式

获取原文
获取原文并翻译 | 示例
           

摘要

AbstractAnalytical 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.HighlightsThe elliptical coordinate was used to solve the radiation problem for an elliptical cylinder.The analytical expressions for earthquake induced hydrodynamic pressure on an elliptical hollow cylinder was derived.The analytical solutions contains terms involving circumferential Mathieu functions and radial Mathieu functions.Three dimensionless parameters were introduced to analyze the analytical solution of hydrodynamic pressure.The simplified formula of the hydrodynamic force was developed by curve fitting method.
机译: 摘要 获得了由内外水在地震作用下计算出的椭圆形空心圆柱体上的动压的解析表达式。基于辐射理论,通过分配合理的边界条件并通过求解椭圆坐标系中的Mathieu微分方程,可以精确地得出椭圆形空心圆柱体上的水动力压力和水动力的解析解。分布在圆柱体高度上的附加质量表达式用于表示流体动力相互作用效应,该效应是从流体动力力表达式中提取的。这些附加的质量表达式非常复杂,导致其值难以计算。因此,在本研究中,这些附加的质量表达式用无量纲方法处理,并通过曲线拟合方法简化。简化的公式仅与三个无量纲参数有关,包括宽度-深度比,椭圆的长轴与短轴之比以及基部上方的相对距离。计算结果表明,简化公式与解析解吻合良好。 突出显示 使用椭圆坐标来解决椭圆圆柱体的辐射问题。 推导了椭圆形空心圆柱体上地震诱发的水动力压力的解析表达式。 解析解包含涉及圆周Mathieu函数和径向Mathieu函数的项。 引入了三个无量纲参数来分析流体动力压力的解析解。 通过曲线拟合方法开发了流体动力的简化公式。

著录项

  • 来源
    《Ocean Engineering》 |2018年第15期|149-160|共12页
  • 作者

    Piguang Wang; Mi Zhao; Xiuli Du;

  • 作者单位

    Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology;

    Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology;

    Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Earthquake; Hydrodynamic pressure; Elliptical cylinder; Added mass; Simplified formula;

    机译:地震;水动力压力;椭圆圆柱;附加质量;简化公式;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号