Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 812-816.

• 论文 • 上一篇    下一篇

BASIC EQUATIONS OF THE PROBLEM OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE WITH VARIABLE THICKNESS

黄家寅   

  1. Department of Physics, College of Science and Engineering, Qindao University, Qindao 266071, P. R. China
  • 收稿日期:2002-05-25 修回日期:2004-03-28 出版日期:2004-07-18 发布日期:2004-07-18
  • 基金资助:
    the Qingdao Natural Science Foundation of China

BASIC EQUATIONS OF THE PROBLEM OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE 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

摘要: Under the case of ignoring the body forces and considering components caused by diversion of membrane in vertical direction (z-direction),the constitutive equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness are given;then introducing the dimensionless variables and three small parameters,the dimensionaless governing equations of the deflection function and stress function are given.

Abstract: Under the case of ignoring the body forces and considering components caused by diversion of membrane in vertical direction (z-direction),the constitutive equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness are given;then introducing the dimensionless variables and three small parameters,the dimensionaless governing equations of the deflection function and stress function are given.

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