Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer

OUYANG Yu; YANG Xiao; BAO Ruo-han

doi:10.3879/j.issn.1000-0887.2011.07.008

Volume 32 Issue 7

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 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:

PDF( 867 KB)

Nonlinear Stability of Timber Column Strengthened With Fiber Reinforced Polymer

doi: 10.3879/j.issn.1000-0887.2011.07.008

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

Received Date: 2011-01-07
Rev Recd Date: 2011-04-18
Publish Date: 2011-07-15

Abstract

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

FullText(HTML)

References(22)

References

[1]	张青萍, 陈军. 中国现代木结构建筑发展之策略[J]. 中国科学, E辑, 2009, 39(5): 874-877.(ZHANG Qing-ping, CHEN Jun. Development strategy of modern wooden architecture in China)[J]. Science in China, Series E, 2009, 39(5): 874-877.(in Chinese))
[2]	Bulleit W M, Sandberg L B, Woods G J. Steel-reinforced glue laminated timber[J]. J Journal of Structural Engineering, ASCE, 1989, 115(2): 433-444. doi: 10.1061/(ASCE)0733-9445(1989)115:2(433)
[3]	Sliker A. Reinforced wood laminated beams[J]. Forest Products Journal, 1962, 12(1): 91-96.
[4]	Zhao X L, Zhang L . State-of-the-art review on FRP strengthened steel structures[J]. Engineering Structures, 2007, 29(8): 1808-1823. doi: 10.1016/j.engstruct.2006.10.006
[5]	Waldron P, Byars E A, Dejke V. Durability of FRP in concrete: a state of the art[C]Proceedings of the International Workshop on. Specialty Workshop of Composites in Construction. Capri, Italy:American Society of Civil Engineers, 20-21,July, 2001.
[6]	段世昌, 徐千军. FRP与混凝土组合结构研究综述[J]. 水力发电学报, 2005, 24(5): 55-59.(DUAN Shi-chang, XU Qian-jun. State-of-the-art review of composite structure of FRP and concrete[J]. Journal of Hydroelectric Engineering, 2005, 24(5): 55-59. (in Chinese))
[7]	Plevris N, Triantafillou T. FRP-reinforced wood as structural material[J]. Journal of Materials in Civil Engineering, ASCE, 1992, 4(3): 300-317. doi: 10.1061/(ASCE)0899-1561(1992)4:3(300)
[8]	Triantifillou T, Deskovic N. Prestressed FRP sheets as external reinforcement of wood members[J]. Journal of Structural Engineering, ASCE, 1992, 118(5): 1270-1284. doi: 10.1061/(ASCE)0733-9445(1992)118:5(1270)
[9]	杨会峰, 刘伟庆, 邵劲松, 周钟宏. FRP加固木梁的受弯性能研究[J]. 建筑材料学报, 2008, 11(5): 591-597.(YANG Hui-feng, LIU Wei-qing, SHAO Jin-song, ZHOU Zhong-hong. Study on flexural behavior of timber beams strengthened with GRP[J]. Journal of Building Materials, 2008, 11(5): 591-597.(in Chinese))
[10]	Gómez S, Svecova D. Behavior of Split timber stringers reinforced with external GFRP sheets[J]. Journal of Composites for Construction, 2008, 12(2): 202-211. doi: 10.1061/(ASCE)1090-0268(2008)12:2(202)
[11]	Gezer H, Aydemir B. The effect of the wrapped carbon fiber reinforced polymer material on fir and pine woods[J]. Materials and Design, 2010, 31(7): 3564-3567. doi: 10.1016/j.matdes.2010.02.031
[12]	Kim Y J, Harries K A. Modeling of timber beams strengthened with various CFRP composites[J]. Engineering Structures, 2010, 32(10): 3225-3234. doi: 10.1016/j.engstruct.2010.06.011
[13]	马建勋, 胡平, 蒋湘闽, 胡明. 碳纤维布加固木柱轴心抗压性能试验研究[J]. 工业建筑, 2005, 35(8): 40-44.(MA Jian-xun, HU Ping, JIANG Xiang-min, HU Ming. Experimental research on axial compressive behaviors for timer column strengthened with CFRP[J]. Industrial Construction, 2005, 35(8): 40-44.(in Chinese))
[14]	周钟宏, 刘伟庆. 碳纤维布加固木柱的轴心受压试验研究[J]. 工程抗震和加固改造, 2006, 28(3): 44-48.(ZHOU Zhong-hong, LIU Wei-qing. Experimental study on timber columns strengthened by CFRP subjected to axial compression[J]. Earthquake Resistant Engineering and Retrofitting, 2006, 28(3): 44-48. (in Chinese))
[15]	Taheri F, Nagaraj M, Cheraghi N. FRP-reinforced glulaminated columns[J] . FRP International, 2005, 2(3): 10-12.
[16]	许清风, 朱雷. CFRP维修加固局部受损木柱的试验研究[J]. 土木工程学报, 2007, 40(8): 41-46.(XU Qing-feng, ZHU Lei. An experimental study on partially-damaged wood columns repaired and strengthened with CFRP[J]. China Civil Engineering Journal, 2007, 40(8): 41-46.(in Chinese))
[17]	Najm H, Secaras J, Balaguru P. Compression tests of circular timber column confined with carbon fibers using inorganic matrix[J]. Journal of Materials in Civil Engineering, ASCE, 2007, 19(2): 198-204. doi: 10.1061/(ASCE)0899-1561(2007)19:2(198)
[18]	邵劲松, 刘伟庆, 蒋桐, 王署光, 周叮. FRP加固轴心受压木柱应力-应变模型[J]. 工程力学, 2008, 25(25): 183-187.(SHAO Jin-song, LIU Wei-qing, JIANG Tong, WANG Shu-guang, ZHOU Ding. Stress-strain model for FRP-Strengthened wood column under axial compression[J]. Engineering Mechanics, 2008, 25(25): 183-187.(in Chinese))
[19]	Taheri F, Nagaraj M, Khosravi P. Buckling response of glue-laminated columns reinforced with fiber-reinforced plastic sheets[J]. Composite Structures, 2009, 88(3): 481-490. doi: 10.1016/j.compstruct.2008.05.013
[20]	Gere J M, Timoshenko S P. Mechanics of Materials[M]. 2nd SI ed. New York: Van Nostrand Reinhold, 1984.
[21]	程昌钧, 朱正佑. 结构的屈曲与分叉[M]. 兰州: 兰州大学出版社, 1991.( CHENG Chang-jun, ZHU Zheng-you. Buckling and Bifurcation of Structures[M]. Lanzhou: Lanzhou University Press, 1991.(in Chinese))
[22]	陆新征, 冯鹏, 叶列平. FRP布约束混凝土方柱轴心受压性能的有限元分析[J]. 土木工程学报, 2003, 136(12): 46-51.(LU Xin-zheng, FENG Peng, YE Lie-ping. Behavior of FRP-confined concrete square columns under uniaxial load[J]. China Civil Engineering Journal, 2003, 136(12): 46-51.(in Chinese))