Acta Mechanica Sinica

, Volume 11, Issue 4, pp 373–382 | Cite as

Self-excited vibration of the shell-liquid coupled system induced by dry friction

The vibration mechanism of the Chinese cultural relic dragon washbasin
  • Liu Xijun
  • Wang Dajun
  • Chen Yushu


The nonlinear vibration theory and the experimental modal analysis are used in this paper to study the self-excited vibration of the shell-liquid coupled system induced by dry friction. The effect of dry friction stick-slip coefficients and rubbing velocity on self-excited vibration, and the limit cycle and Hopf bifurcation solution of the system are obtained. In particular, it is shown that the phenomenon of 4 point (or 6 point) water droplet spurting of the Chinese cultural relic Dragon Washbasin is the result of the perfect combination of the self-excited vibration induced by dry friction and its special modes, which indicates the significant scientific value of the Chinese cultural relic Dragon Washbasin.

Key Words

self-excited vibration Hopf bifurcation dry friction 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Pratt TK, Williams R. Nonlinear analysis of stick/slip motion.Journal of Sound and Vibration, 1981, 74, 531–542CrossRefGoogle Scholar
  2. [2]
    Dowell EH, Schwartz HB. Forced response of an cantilever beam with a dry friction damper attached, I. theory.Journal of Sound and Vibration, 1983, 91: 255–267zbMATHCrossRefGoogle Scholar
  3. [3]
    D'Souza AF, Dweib AH. Self-excited vibrations induced by dry friction part 2: Stability and limit-cycle analysis.Journal of Sound and Vibration, 1990, 137 (2): 177–190CrossRefGoogle Scholar
  4. [4]
    Feeny BF, Moon FC. Bifurcation sequences of a coulomb friction oscillator.Nonlinear Dynamics, 1993, (4): 25–37Google Scholar
  5. [5]
    Shaw SW. On the dynamic response of a system with dry friction.Journal of Sound and Vibration, 1986, 108(2): 305–325MathSciNetGoogle Scholar
  6. [6]
    Stelter P. Nonlinear vibrations of structures induced by dry friction.Nonlinear Dynamics, 1992, (3): 329–345CrossRefGoogle Scholar
  7. [7]
    Dai Nianzu. History of Chinese Mechanics. Shijiazhuang: Hebei Education Press. 1985 (in Chinese)Google Scholar
  8. [8]
    Wang Dajun. A research on the mechanical properties of cultural relic of China.Sciences of conservation and archaeology, 1993, 5(1): 33–39 (in Chinese)Google Scholar
  9. [9]
    Wang Dajun. Mysterious Chinese antiquities—The application of vibration theory to ancient Chinese antiquities and modern research on them. Lecture for I.C.E. Short course, University of Hong Kong, 1992Google Scholar
  10. [10]
    Chen Yushu. Nonlinear Vibration. Tianjin: Tianjin Science and Technology Press, 1983 (in Chinese)Google Scholar
  11. [11]
    Chen Yushu. Bifurcation and Chaos Theory of Nonlinear Vibration Systems. Beijing: Higher Education Press. 1993 (in Chinese)Google Scholar
  12. [12]
    Leissa AW. Vibration of Shells. NASA SP-288, 1973Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1995

Authors and Affiliations

  • Liu Xijun
    • 1
  • Wang Dajun
    • 2
  • Chen Yushu
    • 1
  1. 1.Department of Mechanics and Engineering MeasurementTianjin UniversityTianjinChina
  2. 2.Department of MechanicsPeking UniversityBeijingChina

Personalised recommendations