基于贝叶斯理论的FRP约束矩形混凝土柱轴压极限强度研究

摘要/Abstract

摘要： 基于贝叶斯理论的模型参数识别方法,不仅可以考虑模型误差的影响,还可以得到模型中参数的最有可能值,同时定量描述各参数的不确定性。为获得更合理的FRP约束矩形(含方形)混凝土柱轴压极限强度模型,广泛整理了已有试验数据,并对已有极限强度模型进行评估,归纳出四种典型的应力-应变曲线形态以及三种典型的极限强度模型形式。在对已有平均断裂应变率计算公式进行修正的基础上,进一步建立了基于贝叶斯理论的极限强度模型参数识别框架,采用MATLAB编程获取到模型参数最有可能值和协方差矩阵。基于所识别的最有可能值,进一步优化得到了与FRP约束圆形混凝土柱轴压强度模型相统一的模型。与部分已有极限强度模型对比发现,新提出的模型在强度预测上更为准确,模型形式更加科学合理。

关键词: 贝叶斯理论, FRP约束混凝土, 极限强度模型, 参数识别, 复合材料

Abstract: Based on Bayesian theory, the model parameter identification method can not only consider the influence of model error, but also obtain the most probable value of the parameters in the model, and quantitatively describe the uncertainty of each parameter. In order to obtain a more reasonable axial compression ultimate strength model of FRP-confined square and rectangular concrete columns, the existing experimental data are extensively compiled, and the existing ultimate strength model is evaluated. Four typical stress-strain curve shapes and three typical types of ultimate strength model are summarized. Based on the identification of the existing average strain rate calculation formulas, the parameter identification framework of the ultimate strength model based on Bayesian theory is established. The most probable value and covariance matrix of the model parameters are obtained by MATLAB programming. Based on the most probable values, a new model was proposed, which is consistent with the FRP-constrained circular concrete axial compression ultimate strength model. Compared with some existing ultimate strength models, the newly proposed model is more accurate in intensity prediction, and the model form is more scientific and reasonable.

Key words: ayesian theory, FRP confined concrete, ultimate strength model, parameter identification, composites

中图分类号:

TB332

陈景, 李翔宇. 基于贝叶斯理论的FRP约束矩形混凝土柱轴压极限强度研究[J]. 复合材料科学与工程, 2020, 0(7): 58-67.

CHEN Jing, LI Xiang-yu. RESEARCH ON AXIAL COMPRESSION ULTIMATE STRENGTH OF FRP-CONFINED RECTANGULAR CONCRETE COLUMN BASED ON BAYESIAN THEORY[J]. Composites Science and Engineering, 2020, 0(7): 58-67.

参考文献

[1]周长东. 玻璃纤维聚合物加固混凝土柱的力学性能研究[D]. 大连: 大连理工大学, 2003.
[2]Lam L, Teng J G. Design-oriented stress-strain model for FRP-confined concrete in rectangular columns[J]. Journal of reinforced plastics and composites, 2003, 22(13): 1149-1186.
[3]刘佩, 袁泉, 魏庆朝. 基于贝叶斯理论的恢复力模型参数识别方法[J]. 计算力学学报, 2013, 30(5): 621-626.
[4]Beck J L. Updating models and their uncertainties Ⅰ: Bayesian statistical framework[J]. Journal of Engineering Mechanics, 1998, 4(124): 455-461.
[5]宋彦朋, 陈辉, 黄斌. 基于贝叶斯的钢筋混凝土梁模型修正方法[J]. 土木工程与管理学报, 2019, 36(4): 126-132.
[6]张正阳, 赵人达. 高速铁路混凝土拱桥长期变形贝叶斯预测[J]. 铁道科学与工程学报, 2019, 16(8): 1875-1881.
[7]Chen L, Ozbakkaloglu T. Corner strengthening of square and rectangular concrete-filled FRP tubes[J]. Engineering Structures, 2016, 117: 486-495.
[8]Ozbakkaloglu T. Behavior of square and rectangular ultra high-strength concrete-filled FRP tubes under axial compression[J]. Composites Part B: Engineering, 2013, 54: 97-111.
[9]Ozbakkaloglu T. Axial compressive behavior of square and rectangular high-strength concrete-filled FRP tubes[J]. Journal of Composites for Construction, 2013, 17(1): 151-161.
[10]Ozbakkaloglu T, Oehlers D J. Concrete-filled square and rectangular FRP tubes under axial compression[J]. Journal of Composites for Construction, 2008, 12(4): 469-477.
[11]刘华新, 孙英明. 张金玲, 等. FRP布约束素混凝土的轴压性能试验研究[J]. 辽宁工业大学学报(自然科学版), 2015, 35(1): 29-33.
[12]刘涛. 碳纤维(CFRP)布加固混凝土矩形柱的性能研究[D]. 上海: 上海大学, 2006.
[13]欧阳煜, 黄奕辉, 钱在兹, 等. GFRP片材加固混凝土方柱的轴压试验研究[J]. 工业建筑, 2002(6): 54-56.
[14]Abbasnia R, Hosseinpour F, Rostamian M, et al. Cyclic and monotonic behavior of FRP confined concrete rectangular prisms with different aspect ratios[J]. Construction and Building Materials, 2013, 40: 118-125.
[15]Zeng J, Guo Y, Gao W, et al. Behavior of partially and fully FRP-confined circularized square columns under axial compression[J]. Construction and Building Materials, 2017, 152: 319-332.
[16]Suon S, Saleem S, Pimanmas A. Compressive behavior of basalt FRP-confined circular and non-circular concrete specimens[J]. Construction and Building Materials, 2019, 195: 85-103.
[17]Diego A D, Arteaga Á, Fernández J. Strengthening of square concrete columns with composite materials. Investigation on the FRP jacket ultimate strain[J]. Composites Part B: Engineering, 2019, 162: 454-460.
[18]Yeh F Y, Chang K C. Size and shape effects on strength and ultimate strain in FRP confined rectangular concrete columns[J]. Journal of Mechanics, 2012, 28(4): 677-690.
[19]Yan Z, Pantelides C P, Reaveley L D. Fiber-reinforced polymer jacketed and shape-modified compression members: Ⅰ-Experimental Behavior[J]. ACI Structural Journal, 2006, 103(6): 885-893.
[20]Wu Y, Wei Y. Effect of cross-sectional aspect ratio on the strength of CFRP-confined rectangular concrete columns[J]. Engineering Structures, 2010, 32(1): 32-45.
[21]Wang D Y, Wang Z Y, Smith S T, et al. Size effect on axial stress-strain behavior of CFRP-confined square concrete columns[J]. Construction and Building Materials, 2016, 118: 116-126.
[22]Wang Z, Wang D, Smith S T, et al. CFRP-Confined square RC columns. Ⅰ: Experimental Investigation[J]. Journal of Composites for Construction, 2012, 16(2): 150-160.
[23]Wang Y, Wu H. Size effect of concrete short columns confined with aramid FRP jackets[J]. Journal of Composites for Construction, 2011, 15(4): 535-544.
[24]Wang Y, Wu H. Experimental investigation on square high-strength concrete short columns confined with AFRP sheets[J]. Journal of Composites for Construction, 2010, 14(3): 346-351.
[25]Wang L, Wu Y. Effect of corner radius on the performance of CFRP-confined square concrete columns: Test[J]. Engineering Structures, 2008, 30(2): 493-505.
[26]Tao Z, Yu Q, Zhong Y Z. Compressive behaviour of CFRP-confined rectangular concrete columns[J]. Magazine of Concrete Research, 2008, 60(10): 735-745.
[27]Shehata I A E M, Carneiro L A V, Shehata L C D. Strength of short concrete columns confined with CFRP sheets[J]. Materials and Structures, 2002, 35(1): 50-58.
[28]Rousakis T C, Karabinis A I. Adequately FRP confined reinforced concrete columns under axial compressive monotonic or cyclic loading[J]. Materials and Structures, 2012, 45(7): 957-975.
[29]Rousakis T C, Karabinis A I, Kiousis P D. FRP-confined concrete members: Axial compression experiments and plasticity modelling[J]. Engineering Structures, 2007, 29(7): 1343-1353.
[30]Rochette P, Labossiere R. Axial testing of rectangular column models confined with composites[J]. Journal of Composites for Construction, 2000, 4(3): 129-136.
[31]Parvin A, Wang W. Behavior of FRP jacketed concrete columns under eccentric loading[J]. Journal of Composites for Construction, 2001, 5(3): 146-152.
[32]Modarelli R, Micelli F, Manni O. FRP-confinement of hollow concrete cylinders and prisms[C]//Proc. 7th Int. Symp. On Fiber Reinforced Polymer Reinforcement of Reinforced Concrete Structures.
2005.
[33]Masia M J, Gale T N, Shrive N G. Size effects in axially loaded square-section concrete prisms strengthened using carbon fibre rein-forced polymer wrapping[J]. Canadian Journal of Civil Engineering, 2004, 31(1): 1-13.
[34]Ilki A, Kumbasar N. Compressive behavior of carbon fibre composite jacketed concrete with circular and non-circular cross-sections[J]. Journal of Earthquake Engineering, 2003, 7(3): 381-406.
[35]Erdil B, Akyuz U, Yaman I O. Mechanical behavior of CFRP confined low strength concretes subjected to simultaneous heating-cooling cycles and sustained loading[J]. Materials and Structures, 2012, 45(1-2): 223-233.
[36]Chaallal O, Shahawy M, Hassan M. Performance of axially loaded short rectangular columns strengthened with carbon fiber-reinforced polymer wrapping[J]. Journal of Composites for Construction, 2003, 7(3): 200-208.
[37]Campione G. Influence of FRP wrapping techniques on the compressive behavior of concrete prisms[J]. Cement and Concrete Composites, 2006, 28(5): 497-505.
[38]Benzaid R, Chikh N, Mesbah H. Behaviour of square concrete column confined with GFRP composite warp[J]. Journal of Civil Engineering and Management, 2008, 14(2): 115-120.
[39]Al-Salloum Y A. Influence of edge sharpness on the strength of square concrete columns confined with FRP composite laminates[J]. Composites Part B: Engineering, 2007, 38(5-6): 640-650.
[40]Suter R, Pinzelli R. Confinement of concrete columns with FRP sheets[C]//Fifth international conference on fibre reinforced plastics for reinforced concrete structures. Cambridge, U. K.: 2001:793-802.
[41]Lim J C, Ozbakkaloglu T. Design model for FRP-confined normal- and high-strength concrete square and rectangular columns[J]. Magazine of Concrete Research, 2014, 66(20): 1020-1035.
[42]Mirmiran A, Shahawy M. Effect of column parameters on FRP-confined concrete[J]. Journal of Composites for Construction, 1998, 2(4): 175-185.
[43]American Concrete Institute (ACI). Guide for the design and construction of externally bonded FRP systems for strengthening. Concrete Structures: ACI 4402R-08[S]. Farmington Hills, MI, USA: 2008.
[44]混凝土结构加固设计规范: GB 50367—2013[S]. 北京: 中国建筑工业出版社, 2014.
[45]敬登虎. FRP约束方形混凝土柱轴心受压强度模型[J]. 四川建筑科学研究, 2005, 31(3): 45-47.
[46]Marwan N, Youssef M Q F A. Stress-strain model for concrete confined by FRP composites[J]. Composites B: engineering, 2006.
[47]Moodi Y, Shahri S F, Mousavi S R. Providing a model for estimating the compressive strength of square and rectangular columns confined with a variety of fibre-reinforced polymer sheets[J]. Journal of Reinforced Plastics and Composites, 2017, 36(21): 1602-1612.
[48]Harajli M H. Axial stress-strain relationship for FRP confined circular and rectangular concrete columns[J]. Cement & Concrete Composites, 2006, 28: 938-948.
[49]Canadian Standards Association (CSA). Design and construction of building components with fibre reinforced polymers: CAN/CSA S806-02[S]. Rexdale, Canada: 2002.
[50]Pham T M, Hadi M N S. Stress prediction model for FRP confined rectangular concrete columns with rounded corners[J]. Journal of Composites for Construction, 2014, 18(1): 4013019.
[51]Wei Y, Wu Y. Unified stress-strain model of concrete for FRP-confined columns[J]. Construction and Building Materials, 2012, 26(1): 381-392.
[52]Lam L, Teng J G. Design-oriented stress-strain model for FRP-confined concrete[J]. Construction and Building Materials, 2003, 17: 471-489.
[53]Yan Z, Pantelides C P. Fiber-reinforced polymer jacketed and shape-modified compression members: Ⅱ-Model[J]. ACI Structural Journal, 2006, 103(6): 894-903.