• CN:11-2187/TH
  • ISSN:0577-6686

›› 2004, Vol. 40 ›› Issue (1): 73-77.

• 论文 • 上一篇    下一篇

厚壁筒受正弦分布压力之解及圆筒无限长时的极限

单锐;刘助柏;刘文   

  1. 燕山大学理学院;燕山大学
  • 发布日期:2004-01-15

SOLUTION OF SINE PRESSURES ON A HOLLOW CYLINDER AND THE LIMIT WHEN k→0

Shan Rui;Liu Zhubai;Liu Wen   

  1. Yanshan University
  • Published:2004-01-15

摘要: 对厚壁圆筒在柱面上受正弦分布压力的情况,给出了解析解。应用一个新的应力函数,解决轴对称问题。同时,给出了压力沿轴向不变时的极限,导出了厚壁圆筒著名的Lame解答。

关键词: 解析解, 双调和方程, 新应力函数, 应力

Abstract: An analytical solution is derived for the sine stress distribution in a hollow circular cylinder with inner radius a and outer radius b. The solution of the problem of stress distribution symmetrical about an axis is obtained by using a new stress function. And the limit of the pressures that isn’t varied about an axis distributed in a hollow circular cylinder is derived. It is the well-known lame’s formulas for the stresses in a hollow circular cylinder subjected to uniform pressures.

Key words: Analytic solution, Biharmonic equation, New stress function, Stress

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