Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (8): 725-736.

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THE EXISTENCE OF BUCKLED STATES ON A PERFORATED THIN PLATE

Cheng Chang-jun, Yang Xiao   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • Received:1991-04-22 Online:1992-08-18 Published:1992-08-18
  • Supported by:
    State Education Commission of the People’s Republic of China

Abstract: On the bafis of the generalized von Kármán theory for perforated thin plates established in [1,2], the existence of buckled states for perforated plates subjected to self-equilibrating inplane forces along each edge systematically is investigated. This work completely generalizes the results in [3, 4].

Key words: perforated plate, multi-connected region, modified von Kármán theory, buckled state, bifurcation theorem

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