对于高性能碳纤维增强聚合物复合材料(CFRP)筋混凝土梁,研究几何非线性组合壳单元模型,对预应力CFRP筋混凝土梁进行了全过程分析.引入Von Karman理论,推导了局部坐标系下Piola-Kirchhoff应力矩阵和几何刚度矩阵;分别采用组合壳单元和分层壳单元模拟预应力CFRP筋和玻璃纤维增强聚合物复合材料(GFRP)筋,并推导了CFRP筋对组合壳单元刚度矩阵的贡献,同时采用Heterosis选择积分技术以避免剪切锁定和零能量模式,研制了相应的非线性计算程序.计算结果与试验数据对比可知,挠度发展规律和预应力CFRP筋应变发展规律均吻合良好,说明了研究单元的有效性及研制程序的正确性;CFRP筋具有高强度性能,梁试件破坏时CFRP筋均未失效;利用预应力CFRP筋应变重分布系数研究了梁的刚度退化规律,表明采用GFRP筋代替普通钢筋在加载后期会使梁的刚度退化减小.
In order to study the mechanical properties of concrete beam with high performance composite rebar (CFRP rebar) during the whole course,a geometrically nonlinear combined shell element analytical model of the beam with CFRP rebar was presented. The Von Karman theory was introduced and the Piola-Kirchhoff stress matrix and geometrical stiffness matrix were deduced in the local coordinative system. The prestressed CFRP rebar and the GFRP rebar were respectively modeled by the combined shell element and the layered shell element and then the contribution stiffness matrix of the prestressed CFRP element to the combined shell element was completed. Based on Heterosis selecting integral technology, the shearing lock and the zero energy pattern were both avoided. The nonlinear analytical procedure was compiled, with which the computational results were obtained. The calculations including displacement variation regularity and strain variation regularity of CFRP rebar are in good agreement with those in the experiment results, which show the efficiency of the studied nonlinear element and the correctness of the finished nonlinear procedure. CFRP rebars are still in elastic status when the beam reaches the ultimate loads because of high strength property. The stiffness degraded regularity of the beam was studied by using the strain redistribution coefficient of CFRP rebar, and the result showes that in the final stage of adding loads, the stiffness degradation is decreased when the GFRP rebar substitutes the common steel.
参考文献
[1] | 郑世杰,佘锦炎.几何非线性复合材料层合固体壳单元[J].复合材料学报,2003,20(3):7-12.Zheng Shijie,Sze K Y.Composite laminated solid shell element for geometrically nonlinear analysis[J].Acta Materiae Compositae Sinica,2003,20(3):7-12. |
[2] | Sallam S,Simitses G J.Nonlinear analysis of laminated antisymmetric flat plates subjected to eccentric compression[J].Journal of Composite Structure,1984,2(6):272-281. |
[3] | 邵国建.GSQ24壳体单元用组合结构分析中的应用[J].东南大学学报:自然科学版,2000,30(1):101-106.Shao Guojian.Application of GSQ24 shell element in analysis for combined structures[J].Journal of Southeast University:Natural Science Edition,2000,30(1):101-106. |
[4] | 段海娟,张其林.考虑翘曲效应的薄壁曲梁几何非线性分析[J].工程力学,2004,21(5):157-160.Duan Haijuan,Zhang Qilin.Effect of warping in geometric nonlinear analysis of curved thin-walled beams[J].Engineering Mechanics,2004,21(5):157-160. |
[5] | 欧进萍,王勃,张新越,等.混凝上结构用CFRP筋的感知性能试验研究[J].复合材料学报,2003,20(6):47-51.Ou Jinping,Wang Bo,Zhang Xinyue,et al.Experimental study on self-sensing properties of CFRP bars for concrete structures[J].Acta Materiae Compositae Sinica,2003,20(6):47-51. |
[6] | Cosenza E,Manfredi G,Realfonzo R.Behavior and modeling of bond of FRP rods to concrete[J].ASCE,Journal of Composites for Construction,1997,1(1):40-51. |
[7] | Malvar L J,Cox J V,Cochran K B.Bond between CFRP bars and concrete Ⅰ:Experimental study[J].ASCE,Journal of Composites for Construction,2001,5(2):154-163. |
[8] | Rehm G,Franke L.Plastic bonded fiber glass rods as reinforcement for concrete[J].Civil Engineering,1974,51(4):115-120. |
[9] | Mutsuyoshi H,Veharak K,Machida A.Mechanical properties and design methods of concrete beams reinforced with CFRP[J].Transaction of Japan Concrete Institute,1990,12(1):231-238. |
[10] | Yonekura A,Tazawa E.Flexural characteristics of prestressed concrete beams using fiber plastic rods as prestressing tendons[J].Transaction of Japan Concrete Institute,1991,13(1):239-246. |
[11] | Abdelrahman A A,Rizkalla S H.Service ability of concrete beams prestressed by carbon-fiber-reinforced-plastic bars[J].ACI Structural Journal,1997,94(4):447-457. |
[12] | 薛伟辰,王晓辉.有粘结预应力CFRP筋混凝土梁试验及非线性分析[J].中国公路学报,2007,20(4):41-47.Xue Weichen,Wang Xiaohui.Experiment and nonlinear analysis of concrete beams with bonded prestressing CFRP tendons[J].China Journal of Highway and Transport,2007,20(4):41-47. |
[13] | 卢少微,谢怀勤.智能CFRP加固RC梁荷载效应的实时模拟与测评[J].复合材料学报,2006,23(3):158-164.Lu Shaowei,Xie Huaiqin.Real-time simulation and evaluation of load effects for smart CFRP-strengthened RC beams[J].Acta Materiae Compositae Sinica,2006,23(3):158-164. |
[14] | 司炳君,孙治国,艾庆华.Solid65单元在混凝土结构有限元分析中的应用[J].工业建筑,2007,37(1):87-92.Si Bingjun,Sun Zhiguo,Ai Qinghua.Application of Solid65 element in the finite element analysis of concrete structure[J].Industrial Construction,2007,37(1):87-92. |
[15] | 张剑.多梁式混凝土梁桥的极限承载力研究[D].南京:东南大学,2008:10-30.Zhang Jian.Research on ultimate loads of multi-girder concrete bridges[D].Nanjing:Southeast University,2008:10-30. |
[16] | Hinton E,Owen D R J.Finite element software for plates and shells[M].Swansea:UK Pineridge Press Ltd,1984:177-193. |
- 下载量()
- 访问量()
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%