Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (1): 137-154.

• Articles • Previous Articles    

The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates

Chen Shan-lin, Kuang Ji-chang   

  1. Tsinghua University, Beijing
  • Received:1980-03-20 Online:1981-01-18 Published:1981-01-18

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.

Key words: lattice Boltzmann method, rotating circular cylinder, laminar flow, curved and moving boundary

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