Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 101-113.

• 论文 •    下一篇

A FURTHER STUDY OF THE THEORY OF ELASTIC CIRCULAR PLATES WITH NON-KIRCHHOFF-LOVE ASSUMPTIONS

钱伟长, 茹学萍   

  1. Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • 收稿日期:1994-03-24 出版日期:1995-02-18 发布日期:1995-02-18

A FURTHER STUDY OF THE THEORY OF ELASTIC CIRCULAR PLATES WITH NON-KIRCHHOFF-LOVE ASSUMPTIONS

  1. Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1994-03-24 Online:1995-02-18 Published:1995-02-18

摘要: Based on the general theory of elastic plates which abandons Kirchhoff-Loveassunption in the classical theory. this paper establishes a first order approximationtheory of elastic circular plates with non-Kirchhoff-Love assumption, and presents ananalytic solution to the axisymmetric problem of elastic circular plates with clampedboundary under uniformly distributed load. By comparing with the classical solution ofthe thin circular plates, it is verified that the new solution is closer to the experimentresults than the classical solution. By virtue of the new theory. the influence of thediameter-to=thickness ratio upon the precision of the classical theory is examined.

关键词: electrodynamics, multi-phase flows, tomography, sensor technique, electromagnetical measurement technique, elasticity, circular plates, Kirchhoff-Love assumption

Abstract: Based on the general theory of elastic plates which abandons Kirchhoff-Loveassunption in the classical theory. this paper establishes a first order approximationtheory of elastic circular plates with non-Kirchhoff-Love assumption, and presents ananalytic solution to the axisymmetric problem of elastic circular plates with clampedboundary under uniformly distributed load. By comparing with the classical solution ofthe thin circular plates, it is verified that the new solution is closer to the experimentresults than the classical solution. By virtue of the new theory. the influence of thediameter-to=thickness ratio upon the precision of the classical theory is examined.

Key words: electrodynamics, multi-phase flows, tomography, sensor technique, electromagnetical measurement technique, elasticity, circular plates, Kirchhoff-Love assumption

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