Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (3): 295-309.

• 论文 • 上一篇    下一篇

NONLINEAR BENDINGS OF SYMMETRICALLY LAYERED ANISOTROPIC RECTANGULAR PLATES

周次青   

  1. Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou
  • 收稿日期:1986-09-28 出版日期:1988-03-18 发布日期:1988-03-18

NONLINEAR BENDINGS OF SYMMETRICALLY LAYERED ANISOTROPIC RECTANGULAR PLATES

Zhou Ci-qing   

  1. Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou
  • Received:1986-09-28 Online:1988-03-18 Published:1988-03-18

摘要: This paper has studied the nonlinear bendings of symmetrically layered anisotropic rectangular plates under various supports. The uniformly valid N-order asymptotic solutions of the deflection and stress function are derived by the singular perturbation method offered in [1]. The analysis and calculations are given for simply and clamped supported, rectangular plates subjected to combined edge tensions and lateral loading in conjunction with the modified Galerkin procedure (a method of weighted residuals).

关键词: peristaltic flow, power-law fluid, compliant walls

Abstract: This paper has studied the nonlinear bendings of symmetrically layered anisotropic rectangular plates under various supports. The uniformly valid N-order asymptotic solutions of the deflection and stress function are derived by the singular perturbation method offered in [1]. The analysis and calculations are given for simply and clamped supported, rectangular plates subjected to combined edge tensions and lateral loading in conjunction with the modified Galerkin procedure (a method of weighted residuals).

Key words: peristaltic flow, power-law fluid, compliant walls

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