Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (2): 1237-1242.

• Articles • Previous Articles     Next Articles

PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

Yang Chia-shih, Xie Zhi-cheng   

  1. Qinghua University, Beijing
  • Received:1982-12-11 Online:1984-03-18 Published:1984-03-18

Abstract: In this paper the perturbation method about two parameters is applied to the problem of large deflection of a cricular plate with exponentially varying thickness under uniform pressure. An asymptotic solution up to the third-order is derived: In comparison with the exact solutions in special cases, the asymptotic solution shows a precise accuracy.

Key words: Navier-Stokes equation, two-grid method, stream function

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