| 纤维增强聚合物加固木柱的非线性稳定性分析 |
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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. DOI: 10.3879/j.issn.1000-0887.2011.07.008 |
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| 作者姓名： | 欧阳煜 杨骁 包若涵 |
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| 作者单位： | 上海大学 土木工程系,上海 200072 |
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| 基金项目： | 国家高技术研究发展计划资助项目(2009AA032303-2) |
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| 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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| 关 键 词： | 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 |
| 收稿时间： | 2011-01-07 |
Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer |
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| 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 |
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| Authors: | OUYANG Yu YANG Xiao BAO Ruo-han |
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| Affiliation: | Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | Taking effect of the bi-modulus for tension and compression,of the fiber reinforced polymer sheet(FRP Sheet) in the reinforcement layer into consideration,a general mathematical model for the nonlinear bending of a slender timber beam strengthened with FRP sheet was established under the hypothesis of the large deflection deformation of the beam,and nonlinear governing equations with the second order effect of the beam bending were derived.Then,the nonlinear stability of a simply-supported slender timber co... |
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| Keywords: | fiber reinforced polymer timber column reinforcement nonlinear mathematical model postbuckling analysis bi-modulus |
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