Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (5): 529-537.

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BENDING OF THICK PLATES WITH A CONCENTRATED LOAD

程昌钧   

  1. Lanzhou University
  • 收稿日期:1981-06-06 出版日期:1981-09-18 发布日期:1981-09-18

BENDING OF THICK PLATES WITH A CONCENTRATED LOAD

Cheng Chang-jun   

  1. Lanzhou University
  • Received:1981-06-06 Online:1981-09-18 Published:1981-09-18

摘要: In this paper, according to the simplified theory of [1], the bending of rectangular plates with two opposite edges simply supported and other two opposite edges being arbitrary under the action of a concentrated load is treated by means of properties of two-variable -function and the method of series [2], The effect of transverse shearing forces on the bending of plates is considered. When the thickness h of plates is small, and the term, whose orders are more than order of h2 are neglected, then the results agree with the solutions corresponding to the problem of thin plates[3], At the end, the solutions of the bending problem of plates with arbitrary linear distributed load are also obtained.

关键词: nonlinear control system, integral along solution, dichotomy, global asymptotical behaviour, invariance principle

Abstract: In this paper, according to the simplified theory of [1], the bending of rectangular plates with two opposite edges simply supported and other two opposite edges being arbitrary under the action of a concentrated load is treated by means of properties of two-variable -function and the method of series [2], The effect of transverse shearing forces on the bending of plates is considered. When the thickness h of plates is small, and the term, whose orders are more than order of h2 are neglected, then the results agree with the solutions corresponding to the problem of thin plates[3], At the end, the solutions of the bending problem of plates with arbitrary linear distributed load are also obtained.

Key words: nonlinear control system, integral along solution, dichotomy, global asymptotical behaviour, invariance principle

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