Applied Mathematics and Mechanics

, Volume 9, Issue 7, pp 693–700 | Cite as

The application of generalized variational principle in finite element-semianalytical method

  • Tan Bang-ben


The method developed in this paper is inspired by the viewpoint in ref. [1] that sufficient attention has not been paid to the value of the generalized variational principle in dealing with the boundary conditions in the finite element method. This method applies the generalized variational principle and chooses the series constituted by spline function multiplied by sinusoidal function and added by polynomial as the approximate deflection of plates and shells. By taking the deflection problem of thin plate, it shows that this method can solve the coupling problem in the finite element-semianalytical method. Compared with the finite element method and finite stripe method, this method has much fewer unknown variables and higher precision. Hence, it proposes an effective way to solve this kind of engineering problems by minicomputer.


Finite Element Method Variational Principle Rectangular Plate Spline Function Unknown Variable 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Chien Wei-zang, Studies on the generalized variational principle in elasticity and its application in finite element calculations,Mechanics and Practice, 2 (1979). (in Chinese)Google Scholar
  2. [2]
    Chien Wei-zang,Variational Method and Finite Element, Science Press (1980).Google Scholar
  3. [3]
    Qin Rong, spline finite point method,Proc. of The first national conference of computational Mechanics (1980).Google Scholar
  4. [4]
    Shi Zhong-ci, Spline finite element,Computational mathematics, 1 (1981).Google Scholar
  5. [5]
    Wang Lei, Finite stripe method with sinusoidal functions and polynomials,Acta Mechanica Solida Sinica, 2 (1981).Google Scholar
  6. [6]
    Tang Bang-ben, A common on finite stripe method with sinusoidal functions and polynomials. (Submitted for publication)Google Scholar

Copyright information

© SUT 1988

Authors and Affiliations

  • Tan Bang-ben
    • 1
  1. 1.Human UniversityChangsha

Personalised recommendations