Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (7): 623-628.

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THE BUCKLED STATES OF ANNULAR SANDWICH PLATES

He Lu-wu, Cheng Chang-jun   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • Received:1991-10-05 Online:1992-07-18 Published:1992-07-18
  • Supported by:
    The projcct supported by the National Natural Science Foundation of China

Abstract: In this paper, the axisymmetric buckled states of an annular sandwich plate (Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled slates in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states.

Key words: sandwich plate, shooting method, critical load, buckled state

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