Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (4): 453-460 .doi: https://doi.org/10.1007/s10483-006-0404-z

• Articles • Previous Articles     Next Articles

BIPARAMETRIC PERTURBATION SOLUTIONS OF LARGE DEFLECTION PROBLEM OF CANTILEVER BEAMS

HE Xiao-ting, CHEN Shan-lin   

  1. Faculty of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China
  • Received:2004-09-09 Revised:2005-12-13 Online:2006-04-18 Published:2006-04-18
  • Contact: HE Xiao-ting

Abstract: The large deflection problem of cantilever beams was studied by means of the biparametric perturbation method and the first order derivative substitution from pseudolinear analysis approach. This kind of substitution can transform the basic equation, an integral differential equation into nonlinear algebraic ones, thus simplify computational process. Compared with present results, it indicates that the large deflection problem solved by using pseudolinear analysis can lead to simple and precise results.

Key words: pseudolinear, cantilever beam, large deflection, biparametric perturbation

2010 MSC Number: 

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