Acta Mechanica Sinica

, Volume 35, Issue 1, pp 15–23 | Cite as

Study on vibration of dragon wash basin and free surface waves inside

  • Zi-Yu Guo
  • Xiao-Peng ChenEmail author
  • Lai-Bing Jia
  • Bin Xu
Research Paper


We conducted experimental and numerical studies on the vibrating modes of a dragon wash basin (DWB) and the free surface waves inside the DWB. Both the vibration of the DWB and the sound produced were studied carefully. It was found that the DWB can be excited at different intrinsic modes under different excitation, including striking and rubbing it fast/slowly. However, with gentle rubbing, the DWB will be excited mainly at the first vibrating mode. We showed that the concave side wall of a DWB decreases the intrinsic frequencies (compared with a straight side wall), and the ears of a DWB lead to breaking of the vibrating-axisymmetry and cause the separation of modes I/II and IV/V as well. A theoretical model, in which the water is assumed to be incompressible and inviscid, is applied to the first order vibration and predicts the relation of vibrating frequency versus water depth in the system. The measurement shows that both the radial and azimuthal waves are produced as DWB is working. The frequency of the first component of the surface wave is twice as large as the second one induced by non-linear effects. For both the radial and azimuthal waves, the dispersion relation is presented in the framework of capillary wave theory.


Dragon wash basin Eigen-mode vibration Surface wave 



This work was supported by the National Natural Science Foundation of China (Grants 11172241 and 11472220). We are also grateful to Y. Lei at NPU for the help on sound measurements. X.P. Chen also thanks Professor J. Jiang for the valuable discussions on vibration fundamentals.

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Zi-Yu Guo
    • 1
  • Xiao-Peng Chen
    • 1
    • 2
    Email author
  • Lai-Bing Jia
    • 2
  • Bin Xu
    • 1
  1. 1.School of Mechanics, Civil Engineering and ArchitectureNorthwestern Polytechnical UniversityXi’anChina
  2. 2.School of Marine Science and TechnologyNorthwestern Polytechnical UniversityXi’anChina

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