Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 817-826.

• Articles • Previous Articles     Next Articles

UNIFORMLY VALID ASYMPTOTIC SOLUTIONS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE OF FOUR CLAMPED EDGES WITH VARIABLE THICKNESS

HUANG Jia-yin   

  1. Department of Physics, College of Science and Engineering, Qindao University, Qindao 266071, P. R. China
  • Received:2002-05-25 Revised:2004-03-28 Online:2004-07-18 Published:2004-07-18
  • Supported by:
    the Qingdao Natural Science Foundation of China

Abstract: By using “the method of modified two-variable”,“the method of mixing perturbation” and introducing four small parameters,the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied.And the uniformly valid asymptotic solution of Nth-order for ε1 and Mth-order for ε2 of the deflection functions and stress function are obtained.

2010 MSC Number: 

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