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Applied Mathematics and Mechanics

, Volume 1, Issue 2, pp 231–246 | Cite as

On the Reissner theory of bending of flastic plates

  • Miao Tiande
  • Cheng Chang Jun
Article

Abstract

The Reissner equations of elastic plates are rederived on the bases of the incomplete generalized variational principle of Complementary energy. The Stress function ψ is naturally obtained from the variational Calculation in the form of Lagrange multiplier. The stucture of solutions of the Reissner equations is thus defined. On the bases of these discussions, a simplified theory has been put forward, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of the Classical theory of plates.

Keywords

Differential Equation Mathematical Modeling Lagrange Multiplier Industrial Mathematic Variational Principle 
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 Centre 1980

Authors and Affiliations

  • Miao Tiande
    • 1
  • Cheng Chang Jun
    • 1
  1. 1.Mathematics and Mechanics Department of Langchow UniversityLangchowChina

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