Applied Mathematics and Mechanics

, Volume 17, Issue 1, pp 1–8 | Cite as

The dynamic buckling problem caused by propagation of stress wave in elastic cylindrical shells under impact torque

  • Han Qiang
  • Ma Hongwei
  • Zhang Shanyuan
  • Yang Guitong
  • Wu Jike
Article
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Abstract

The buckling problem of cylindrical shells has been studied by many mechanic researchers from different points of view. In this paper, an elastic cylindrical shell with semi-infinite length is studied. Let its dynamic buckling under impact torque be reduced to a bifurcation problem caused by propagation of the torsional stress wave. The bifurcation problem is converted to a solution of nonlinear equations, the lateral inertia effect on the dynamic buckling is also discussed. Finally, numerical computation is carried out, from this, some beneficial conclusions are obtained.

Key words

dynamic buckling stress wave bifuraction 
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References

  1. [1]
    L. H. Donnell, Stability of thin walled tubes under torsion, NACA TN 479, Washington DC (1939)Google Scholar
  2. [2]
    E. E. Lundquist, Strength tests on thin walled duralumin cylinders in torsion, NACA TN 427, Washington DC (1952).Google Scholar
  3. [3]
    W. A., Nash, An experimental analysis of the buckling of thin initially imperfect cylindrical shells subjected to torsion, Pro. Sci. Exp. Stress Anal. 16 (1959), 55–68.Google Scholar
  4. [4]
    N. Yamaki, Elastic Stability of Circular Cylindrical Shells, North-Holland (1984).Google Scholar
  5. [5]
    N., Yamaki and K., Nagai, Dynamic stability of circular cylindrical shells under periodic shearing forces, J. Sound and Vibrations, 45 (1976), 41–527.Google Scholar
  6. [6]
    N., Yamaki, J., Tani and H., Doki, Dynamic stability of fluid filled circular cylindrical shells under periodic shearing forces (in Japanese), trans. of JAME, 45 (1979), 406–413.Google Scholar
  7. [7]
    M., Chilba, T., Yamashida, H., Sugiyana and H., Tani, Dynamic stability of liquie-filled cylindrical shells under periodic shearing forces, J. Press. Vess. Tech., ASME, 111 (1989), 420–429.Google Scholar
  8. [8]
    L., Leyko and S., Spryzynski, Energy method of analysis of dynamic stability of a cylindrical shell subjected to torsion, Arch Mech., 26, 1 (1974), 13–24.Google Scholar
  9. [9]
    Ma, Hongwei, Wang, Duyu and Yang, Guitong, An experimental study on the static and impact torsional buckling of cylindrical shells, Acta Mechanica Solida, 6, 4 (1993), 429–437.Google Scholar
  10. [10]
    Chen Changan and Su Xianyue, The wave effect in the buckling of the cylindrical shells under axial impact, the report of the nonlinear continuous medium mechanics open laboratory of the Science Academy of China (1993).Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Han Qiang
    • 1
  • Ma Hongwei
    • 1
  • Zhang Shanyuan
    • 1
  • Yang Guitong
    • 1
  • Wu Jike
    • 2
  1. 1.Taiyuan University of TechnologyTaiyuanP. R. China
  2. 2.Peking UniversityBeijingP. R. China

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