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Numerical analysis of fluid flow and added mass induced by vibration of structure

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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.

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References

  1. Wang Wenliang, Du Zuorun.Structural Vibration and Method of Dynamic Substructures[M]. Fudan University Press, Shanghai, 1985, 434–439. (in Chinese)

    Google Scholar 

  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. Li Shujuan, Wang Hao, Huang Tao,et al. Analysis of air flow and added mass induced by vibration of solar array[J].Journal of Fudan University (Natural Science), 2000,8(4):441–445. (in Chinese)

    Google Scholar 

  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]. Jilin Science and Technology Press, Shenyang, 2001,877–880.

    Google Scholar 

  5. Thomson W T, Dahleh M D.Theory of Vibration with Applications[M]. 5th Ed. Prentice Hall, New Jersey, 1997,183–187.

    Google Scholar 

  6. Zhou Guangjiong, Yan Zongyi, Xu Shixiong,et al.Fluid Mechanics[M]. Vol. 1, Higher Education Publishing House, Beijing, 2001,265–271,281–290,307–322. (in Chinese)

    Google Scholar 

  7. Robert D. Blenvis Ph D.Formulas for Natural Frequency and Mode Shape[M]. Krieger Publishing Company, Malabar Florida, 2001,391–399.

    Google Scholar 

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Communited by DAI Shi-qiang

Biographies: SU Li, Master; TANG Guo-an, Professor, E-mail: tangguoan@fudan.edu.cn

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Li, S., Shu-juan, L. & Guo-an, T. Numerical analysis of fluid flow and added mass induced by vibration of structure. Appl Math Mech 26, 252–260 (2005). https://doi.org/10.1007/BF02438248

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  • DOI: https://doi.org/10.1007/BF02438248

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Chinese Library Classification

2000 Mathematics Subject Classification

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