Advertisement

Applied Mathematics and Mechanics

, Volume 4, Issue 1, pp 107–116 | Cite as

The large deflection problem of circular thin plate with variable thickness under uniformly distributed loads

  • Wang Xin-zhi
Article

Abstract

In this paper, to begin with, the large deflection equation of variable thickness circular plates is given. By using small parameter method and revised iteration jointly a cubic approximate solution is obtained. A characteristic is also given for comparison with linear theory.

Keywords

Mathematical Modeling Approximate Solution Industrial Mathematic Small Parameter Linear Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Chien Wei-zang and Yeh Kai-yuan,Large deflection problem of circular thin plate, Chinese Journal of Physics, Vol. 10, No. 4 (1954).Google Scholar
  2. 2.
    Yeh Kai-yuan,Problem of elastic circular plate with variable thickness, Chinese Journal of Physics, Vol. 11, No. 3, (1955).Google Scholar
  3. 3.
    Yeh Kai-yuan, Liu Ren-huai and et al., Journal of Lanzhou University 2 (1965). (in Chinese)Google Scholar
  4. 4.
    Chen Shan-Lin and Kuang Ji-chang,The perturbation parameter in the problem of large deflection of clamped circular plates, Appl. Math. and Mech., Vol. 2, No. 1 (1981), (137–154).Google Scholar
  5. 5.
    Timoshenko, S. and S. Woinowasky-Kriger,Theory of Plates and Shells, McGraw-Hill Inc., (1977).Google Scholar
  6. 6.
    Xu Zhi-lun,Elasticity, People's Education Publishing House, (1979).Google Scholar

Copyright information

© Techmodern Business Promotion 1983

Authors and Affiliations

  • Wang Xin-zhi
    • 1
  1. 1.Gansu University of TechnologyGansuChina

Personalised recommendations