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

• 论文 • 上一篇    下一篇

THE BUCKLED STATES OF ANNULAR SANDWICH PLATES

何录武, 程昌钧   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • 收稿日期:1991-10-05 出版日期:1992-07-18 发布日期:1992-07-18
  • 基金资助:
    The projcct supported by the National Natural Science Foundation of China

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

摘要: 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.

关键词: sandwich plate, shooting method, critical load, buckled state

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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