Advertisement

Acta Mechanica Sinica

, Volume 16, Issue 2, pp 97–112 | Cite as

Theory of water waves in an elastic vessel

  • D. Y. Hsieh
Article

Abstract

Recent experiments related to the Dragon Wash phenomena showed that axisymmetric capillary waves appear first from excitation, and circumferential capillary waves appear after increase of the excitation strength. Based on this new finding, a theory of parametric resonance is developed in detail to explain the on-set of the prominent circumferential capillary waves. Numerical computation is also carried out and the results agree generally with the experiments. Analysis and numerical computation are also presented to explain the generation of axisymmetric low-frequency gravity waves by the high-frequency external excitation.

Key Words

water waves elastic vessel Dragon Wash 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Wang D. A research on the mechanical properties of Cultural Relics of China. In: Proc Sci & Tech Archaeology, 1991. 193–202Google Scholar
  2. 2.
    Wang D. Study on mechanical characteristics of ancient cultural relics.Sci Conservation & Archaeology, 1993, 5: 35–39Google Scholar
  3. 3.
    Wang D. Private Communication, 1994Google Scholar
  4. 4.
    Shen MC, Sun SM, Hsieh DY. Forced capillary-gravity waves in a circular basin.Wave Motion, 1993, 18: 401–412MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Hsieh DY. Standing water waves in a circular basin. In: Proc Int Conf Hydrodynamics, 1994. 74–79Google Scholar
  6. 6.
    Sun SM, Shen MC, Hsieh DY. Nonlinear theory of forced surface waves in a circular basin.Wave Motion, 1995, 21: 331–341MATHCrossRefGoogle Scholar
  7. 7.
    Hsieh DY. Water waves in an elastic vessel.Acta Mechanica Sinica, 1997, 13(4): 289–303CrossRefGoogle Scholar
  8. 8.
    Hsieh DY, Denissenko P. Water waves in a circular elastic vessel: The experiment. Technical Report 98-6-1, Dept. Math. Hong Kong University of Science and Technology. 1998Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2000

Authors and Affiliations

  • D. Y. Hsieh
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityUSA

Personalised recommendations