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

• 论文 • 上一篇    下一篇

BIPARAMETRIC PERTURBATION SOLUTIONS OF LARGE DEFLECTION PROBLEM OF CANTILEVER BEAMS

何晓婷, 陈山林   

  • 收稿日期:2004-09-09 修回日期:2005-12-13 出版日期:2006-04-18 发布日期:2006-04-18
  • 通讯作者: 何晓婷

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

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