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 引用本文: 欧阳煜, 杨骁, 包若涵. 纤维增强聚合物加固木柱的非线性稳定性分析[J]. 应用数学和力学, 2011, 32(7): 848-859.
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.

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

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

Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer

• 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．
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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

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