Skip to main content
SpringerLink
Log in

Vibration analysis of elliptical column partially submerged in water

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, a general analytical method based on Ref. [1] is presented to study the bending vibration of an elliptical column partially submerged in water. Besides, it is pointed out that there is a limitation to the method mentioned in Ref. [2]. As a special example, the natural frequencies of circular column submerged in water considering compressibility are calculated, and the extent of compressible effect is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Koistibo. Seima. Seismic force effect on submerged bridge piers with elliptic cross sections.Proceedings of the Third World Conference Earthquake Engineering, Vol. II (1965).

  2. Zhang Xi-de, Free bending vibration of elliptical column partically submerged in water,Applied Mathematics and Mechanics. 7 9 (1986), 869–876

    Article  Google Scholar 

  3. Williams, A.N., Wave forces on an elliptic cylinder.Journal of WPCOE ASCE.111, 2 (1985).

    Google Scholar 

  4. Ishicov, P.C., Determination of vibration frequency of elastical bar in fluid.Applied Mathematics and Mechanics. 3–4 1 (1937–1938), (in Russian)

  5. Sakurai, Akio. Vibration of column structure erected in water.Civil Technology. 16 6 (1961). (in Japanese)

  6. Xu Han-zhong, Formulas for free vibration frequencies of cantilever cylinder in water.J. of East China Technical Univ. of Water Resources,14, 4 (1986). (in Chinese)

    Google Scholar 

  7. Zhu Yong-yi, Weng Zhi-yuang and Wu Jia-long, Vibration analysis of cylindrical shells partically submerged in water.J. of Tongii University,4 (1987). (in Chinese)

  8. Miller, K.S.,Partial Differential Equation in Engineering Problem. Prentice-Hall, Book Co. INC. (1953)

Download references

Author information

Authors and Affiliations

  1. Tongji University, Shanghai

    Zhu Yong-yi & Weng Zhi-yuan

Authors
  1. Zhu Yong-yi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Weng Zhi-yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Projects Supported by the Science Fund of the Chinese Academy of Sciences.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yong-yi, Z., Zhi-yuan, W. Vibration analysis of elliptical column partially submerged in water. Appl Math Mech 9, 335–346 (1988). https://doi.org/10.1007/BF02456114

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456114

Keywords

Search

Navigation