Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 687-697.

• 论文 • 上一篇    下一篇

THE RING SHELLS UNDER GRAVITATIVE LOADS

王玳瑜, 陈山林, 吴国平   

  1. Chongqing Institute of Architecture and Engineering, Chongqing
  • 收稿日期:1984-04-15 出版日期:1986-07-18 发布日期:1986-07-18

THE RING SHELLS UNDER GRAVITATIVE LOADS

Wang Dai-yu, Chen Shan-lin, Wu Guo-ping   

  1. Chongqing Institute of Architecture and Engineering, Chongqing
  • Received:1984-04-15 Online:1986-07-18 Published:1986-07-18

摘要: This paper gives Novozlov’s equation (ref. [1]) in a simple style of ring shells with equal thickness under the actions of gravitative loads. By means of Fourier series, the special solution of the equation is established. Using the results of the homogeneous solution in ref. [2], we find out the general solution of the problem, and derive the expressions of stress and displacement.Two examples are given as the application of the above results.

关键词: micromorphic continuum, couple stress theory, coupled, basic balance law, balance equation

Abstract: This paper gives Novozlov’s equation (ref. [1]) in a simple style of ring shells with equal thickness under the actions of gravitative loads. By means of Fourier series, the special solution of the equation is established. Using the results of the homogeneous solution in ref. [2], we find out the general solution of the problem, and derive the expressions of stress and displacement.Two examples are given as the application of the above results.

Key words: micromorphic continuum, couple stress theory, coupled, basic balance law, balance equation

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals