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


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.


Differential Equation Mathematical Modeling Lagrange Multiplier Industrial Mathematic Variational Principle 
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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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