Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (7): 903-916.doi: https://doi.org/10.1007/s10483-011-1468-7

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Nonlinear stability of timber column strengthened with fiber reinforced polymer

 OU Yang-Yu, YANG Xiao, BAO Re-Han   

  1. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China
  • Received:2011-01-07 Revised:2011-04-18 Online:2011-07-03 Published:2011-07-03
  • Supported by:

    Project supported by the National High Technology Research and Development Program (No. 2009AA032303-2)

Abstract: By taking into account the effect of the bi-modulus for tension and compression of the fiber reinforced polymer (FRP) sheet in the reinforcement layer, a general mathematical model for the nonlinear bending of a slender timber beam strengthened with the FRP sheet is established under the  hypothesis of the large deflection deformation of the beam. Nonlinear governing equations of the second order effect of the beam bending are derived. The nonlinear stability of a simply-supported slender timber column strengthened with the FRP sheet is then investigated. An expression of the critical load of the simply-supported FRP-strengthened timber beam is obtained. The existence of postbuckling solution of the timber column is proved theoretically, and an asymptotic analytical solution of the postbuckling state in the vicinity of the critical load is obtained using the perturbation method. Parameters are studied showing that the FRP reinforcement layer has great influence on the critical load of the timber column, and has little influence on the dimensionless postbuckling state.

2010 MSC Number: 

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