J4 ›› 2011, Vol. 49 ›› Issue (01): 37-40.

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Numerical Solution to PostBuckling of a Pre-stressed InfiniteBeam Bonded to a Linear Elastic Foundation

YU Yongping1, WANG Zhongqiang2, SUN Weipeng3   

  1. 1. College of Construction Engineering, Jilin University,  Changchun 130026, China;2. School of Mathematics, Changchun Normal University, Changchun 130032, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2010-04-14 Online:2011-01-26 Published:2011-02-19
  • Contact: SUN Weipeng E-mail:sunwp@jlu.edu.cn

Abstract:

The nonlinear integraldeferential governing equation of a prestressed infinite beam bonded to a linear elastic foundation was first
 extended by introducing a new variable and then solved by applying the shooting method. The results show that the postbuckling load and curve of deflection depend on the positive slope in position without deflection and the corresponding postbuckling wavelength does not change with the increase of the slope.

Key words: postbuckling, infinite beam, pre-stressed, elastic foundation, shooting method

CLC Number: 

  • O343.9