正交直墙前直立圆柱振荡问题的研究

宁德志、滕斌

中国工程科学 ›› 2003, Vol. 5 ›› Issue (5) : 84-91.

PDF(4136 KB)
PDF(4136 KB)
中国工程科学 ›› 2003, Vol. 5 ›› Issue (5) : 84-91.
研究报告

正交直墙前直立圆柱振荡问题的研究

  • 宁德志、滕斌

作者信息 +

Study on the Oscillation of a Uniform Cylinder in Front of Two Vertical Walls Intersecting Normally

  • Ning Dezhi、 Teng Bin

Author information +
History +

摘要

应用镜像原理,将正交直墙前单个圆柱在静水中的振荡问题,转化为4个对称布置圆柱在静水中的振荡问题,由此应用速度势的特征函数展开法,建立了正交直墙前直立圆柱振荡问题的解析解。通过数值计算研究了圆柱与正交直墙间距离大小、水深等因素对附加质量和辐射阻尼的影响。计算结果表明,正交直墙前圆柱上的附加质量和辐射阻尼将明显增大,且随着波数的变化而发生振荡;不同水深中圆柱的附加质量和辐射阻尼在低频区与水深成线性关系。

Abstract

Based on the image theory, the oscillation of a cylinder in front of two vertical walls intersecting normally in the otherwise static water is transformed into the oscillating problem of four symmetrically arranged cylinders. The transformed problem is solved by an analytical method based on eigenfunction expansion. Numerical experiment has been performed in order to examine the influence of the distances between the cylinder and the walls and water depth on the added mass and radiation damping of the cylinder. The calculation shows that the added mass and radiation damping of the cylinder in front of the two vertical walls increase abruptly. The added mass and radiation damping oscillate with wave number, and the oscillating frequency increases with the increase of the distances between the cylinder and the walls. Furthermore, the added masses and radiation damping are linear with the water depth in the range of low frequencies.

关键词

附加质量 / 辐射阻尼 / 镜像原理 / 正交直墙 / 圆柱

Keywords

added mass / radiation damping / image theory / vertical wall / cylinder

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导出引用
宁德志,滕斌. 正交直墙前直立圆柱振荡问题的研究. 中国工程科学. 2003, 5(5): 84-91

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基金
国家杰出青年基金资助项目(50025924)
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