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Applied Mathematics and Mechanics

, Volume 2, Issue 1, pp 137–154 | Cite as

The perturbation parameter in the problem of large deflection of clamped circular plates

  • Chen Shan-lin
  • Kuang Ji-chang
Article

Abstract

In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc, are studied. For a general perturbation parameter, the variational principle is used for the solution of such a problem. The applicable range of these perturbation parameters are studied in detail. In the case of uniformly loaded plate, perturbation parameter relating to central deflection seems to be the best among all others. The method of determination of perturbation solution by means of variational principle can be used to treat a variety of problems, including the large deflection problems under combine loads.

Keywords

Circular Plate Perturbation Parameter Large Deflection Deflection Curve Perturbation Solution 
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.

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Copyright information

© Techmodern Business Promotion 1981

Authors and Affiliations

  • Chen Shan-lin
    • 1
  • Kuang Ji-chang
    • 1
  1. 1.Tsinghua UniversityBeijing

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