Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (10): 1108-1115.

• Articles • Previous Articles     Next Articles

THE INFLUENCE OF IMPERFECTIONS UPON THE CRITICAL LOAD OF STRUCTURES

Zhu Zhengyou1, Cong Yuhao2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Department of Mathematics, Shanghai University, Shanghai 200072, P.R.China;
    2. College of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, P.R.China
  • Received:1998-10-07 Revised:1999-04-20 Online:1999-10-18 Published:1999-10-18
  • Supported by:
    the National Nature Science Foundation of China ( 19371039)

Abstract: By means of the theory of universal unfolding, the influence of multi-imperfections upon the critical load of structure in engineering is analysed in this paper. For the pitchfork problem, a lower bound of increments of the critical loads caused by imperfections of the structures is given. A simple and available numerical method for computing the lower bound is described.

2010 MSC Number: 

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