结构振动诱导流场及附加质量的数值分析

Numerical Analysis of Fluid Flow and Added Mass Induced by Vibration of Structure

Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China

摘要: 将大型柔性结构低速振动诱导流体流场的问题，归结为无粘性不可压缩无旋流动平面问题．在偶极子配置法基础上，发展了一种在结构和流体接触面上混合配置源汇和偶极子的奇点配置法，能够计算翼型、柱型等结构在流体中低速振动时诱导的流体流场并推导出流场的动能表达式，最终得到流体附加质量．给出了几个具有解析解的算例验证了此方法的可靠性．
- 结构 /
- 流体 /
- 振动 /
- 附加质量 /
- 奇点配置法
Abstract: The fluid flow induced by light-density,low-stiffness structures was treated as inviscid,incompressible irrotational and steady plane flow.On the basis of the dipole configuration method,a singularity distribution method of distributing sources/sinks and dipoles on interfaces of the structure and fluid was developed to solve the problem of fluid flow induced by the vibration of common structures,such as columns and columns with fins,deduce the expression of kinetic energy of the fluid flow,and obtain the added mass finally.The calculational instances with analytical solutions prove the reliability of this method.
- structure /
- fluid /
- vibration /
- added mass /
- singularity distribution method

[1]	王文亮,杜作润.结构振动与动态子结构方法[M].上海:复旦大学出版社,1985, 434—439.
[2]	Jiang K C,Gahart R.Analysis and modal survey test of intelsat VIIA deployed solar array[A].In:MSC Software Corporation Ed.MSC 1994 World Users' Conf Proc[C][EB]. Paper No 27, June 1994.
[3]	李淑娟,王皓,黄涛,等.太阳帆板振动诱导空气流场分析及其附加质量计算[J].复旦大学学报(自然科学版),2000,8(4):441—445.
[4]	Wang H, Li S J, Huang T,et al.Ground test data correction of solar array[A].In:Wen B C Ed.Proceedings of the Asia-Pacific Vibration Conference[C].Shenyang: Jilin Science and Technology Press, 2001, 877—880.
[5]	Thomson W T, Dahleh M D.Theory of Vibration With Applications[M].5th Ed. New Jersey: Prentice Hall, 1997, 183—187.
[6]	周光, 严宗毅,许世雄,等.流体力学[M].上册.北京: 高等教育出版社, 2001,265—271,281—290,307—322.
[7]	Robert D. Blenvis Ph D.Formulas for Natural Frequency and Mode Shape[M].Malabar Florida: Krieger Publishing Company, 2001, 391—399.