纤维增强聚合物加固木柱的非线性稳定性分析

欧阳煜; 杨骁; 包若涵

doi:10.3879/j.issn.1000-0887.2011.07.008

纤维增强聚合物加固木柱的非线性稳定性分析

doi: 10.3879/j.issn.1000-0887.2011.07.008

上海大学土木工程系,上海 200072

基金项目: 国家高技术研究发展计划资助项目(2009AA032303-2)

详细信息

作者简介:
欧阳煜(1968- ),男,福建泉州人,副教授,博士(Tel:+86-21-56332265;E-mai:lOyy-wly@sina.com);杨骁(1965- ),男,山西运城人,教授,博士生导师(联系人.Tel:+86-21-56331519;E-mai:lxyang@shu.edu.cn).

中图分类号: O343.9;O341
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- 被引次数: 0
出版历程
- 收稿日期: 2011-01-07
- 修回日期: 2011-04-18
- 刊出日期: 2011-07-15

Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer

Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 考虑加固层中纤维增强聚合物布（FRP布）拉伸与压缩时的不同弹性模量，基于梁大挠度变形假定，首先建立了FRP加固细长木梁大挠度弯曲的一般数学模型，给出了考虑梁弯曲二阶效应的非线性控制方程．其次，研究了FRP布加固细长简支木柱的非线性稳定性问题，得到了FRP加固简支木柱的临界载荷公式．理论证明了其过屈曲解的存在性，并利用摄动法，得到了临界载荷附近过屈曲状态的渐近解析解．进行了参数分析，结果表明：FRP加固层对临界载荷有显著的影响，而对其无量纲过屈曲状态影响较小．
- 纤维增强聚合物 /
- 木柱 /
- 加固 /
- 非线性数学模型 /
- 过屈曲分析 /
- 拉压不同弹性模量
Abstract: 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.
- fiber reinforced polymer /
- tmiber column /
- reinforcement /
- non linear mathematical model /
- postbuckling analysis /
- bi-modulus

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