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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 535-544.

• 论文 • 上一篇    下一篇

THE SOLUTION TO THE DESTABILIZING CRITICAL LOAD OF CIRCULAR DOUBLE ARTICULATED ARCH UNDER GOING VERTICAL DISTRIBUTIVE LOAD g0/cos2θ

潘岳, 戚云松   

  1. Qingdao Institute of Architecture and Engineering, Qingdao 266520, P.R.China
  • 收稿日期:1997-04-08 修回日期:1999-01-08 出版日期:1999-05-18 发布日期:1999-05-18
  • 通讯作者: Zhou Chengti
  • 基金资助:
    Project supported by the National Natural Science Foundation of Shandong Province (Y98-A08011)

THE SOLUTION TO THE DESTABILIZING CRITICAL LOAD OF CIRCULAR DOUBLE ARTICULATED ARCH UNDER GOING VERTICAL DISTRIBUTIVE LOAD g0/cos2θ

Pan Yue, Qi Yunsong   

  1. Qingdao Institute of Architecture and Engineering, Qingdao 266520, P.R.China
  • Received:1997-04-08 Revised:1999-01-08 Online:1999-05-18 Published:1999-05-18
  • Supported by:
    Project supported by the National Natural Science Foundation of Shandong Province (Y98-A08011)

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摘要： In this paper, after taking the effect of axis force on bending into consideration, the general potential energy for the circular double articulated arch is established undergoing vertical distributive load g0/cos2θ. With sufficient engineering precision, the fourth approximations to the destabilizing critical load of the arch under t his load are obtained by Ritz method. The approximations to the critical load ta ble are listed for various center angles of arch, and are contrasted with the critical load circular arch undergoing radial uniform load. Some reference results have been obtained.

关键词: circle arch, vertical distributi ve load in g0/cos2θ, destabilizing critical load

Abstract: In this paper, after taking the effect of axis force on bending into consideration, the general potential energy for the circular double articulated arch is established undergoing vertical distributive load g0/cos2θ. With sufficient engineering precision, the fourth approximations to the destabilizing critical load of the arch under t his load are obtained by Ritz method. The approximations to the critical load ta ble are listed for various center angles of arch, and are contrasted with the critical load circular arch undergoing radial uniform load. Some reference results have been obtained.

Key words: circle arch, vertical distributi ve load in g0/cos2θ, destabilizing critical load

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