Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (4): 343-353.

• 论文 • 上一篇    下一篇

LARGE DEFLECTION PROBLEM OF THIN ORTHOTROPIC CIRCULAR PLATE WITH VARIABLE THICKNESS UNDER UNIFORM PRESSURE

王颖坚   

  1. Dept. of Mechanics, Peking University, Beijing
  • 收稿日期:1988-09-29 出版日期:1990-04-18 发布日期:1990-04-18

LARGE DEFLECTION PROBLEM OF THIN ORTHOTROPIC CIRCULAR PLATE WITH VARIABLE THICKNESS UNDER UNIFORM PRESSURE

Wang Ying-jian   

  1. Dept. of Mechanics, Peking University, Beijing
  • Received:1988-09-29 Online:1990-04-18 Published:1990-04-18

摘要: Basic equations for large deflection theory of thin orthotropic circular plate with variable thickness are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. If ε=0, then the solution derived from the result in this paper coincides completely with the result given by J. Nowinski (using perturbation method) for solving large deflection problem of thin orthotropic circular plate with constant thickness under uniform pressure.

关键词: time-varying delay systems, Markovian jump systems, stochastic stability, linear matrix inequality, H∞ control

Abstract: Basic equations for large deflection theory of thin orthotropic circular plate with variable thickness are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. If ε=0, then the solution derived from the result in this paper coincides completely with the result given by J. Nowinski (using perturbation method) for solving large deflection problem of thin orthotropic circular plate with constant thickness under uniform pressure.

Key words: time-varying delay systems, Markovian jump systems, stochastic stability, linear matrix inequality, H∞ control

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