OUYANG Yu, YANG Xiao, BAO Ruo-han. Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer[J]. Applied Mathematics and Mechanics, 2011, 32(7): 848-859. doi: 10.3879/j.issn.1000-0887.2011.07.008
Citation: OUYANG Yu, YANG Xiao, BAO Ruo-han. Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer[J]. Applied Mathematics and Mechanics, 2011, 32(7): 848-859. doi: 10.3879/j.issn.1000-0887.2011.07.008

Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer

doi: 10.3879/j.issn.1000-0887.2011.07.008
  • Received Date: 2011-01-07
  • Rev Recd Date: 2011-04-18
  • Publish Date: 2011-07-15
  • Taking effect of the bimodulus for tension and compression, of the fiber reinforced polymer sheet (FRP Sheet) in the rein forcement layer into consideration, a generalmathematicalm odel for the non linear bending of a slender timber beam strengthened with FRP sheet was established under the hypothesis of the large deflection deformation of the beam, and non linear governingequations with the second order effect of the beam bending were derived. Then, the non linear stability of a smiply-supporteds lender timber column strengthened with FRP sheet was investigated, and the expression of the critical load of the simply-supported FRP-strengthened tmiber beam was obtained. The existence of postbuckling solution of the tmiber column was proved theoretically, and the asymptotic analytical solution of the postbuckling state in the vicinity of the critical load was obtained with the perturbation method. Parameter study was conducted, and it was shown that FRP rein forcement layer had a great influence on the critical load of the tmiber column, and a little in fluence on the dmiension less postbuckling state.
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