高性能水泥复合砂浆钢筋网薄层加固RC梁疲劳性能试验研究
|
摘要
高性能水泥复合砂浆钢筋网薄层(High Performance Ferrocement Laminate,简称HPFL)是一种新型的无机材料,具有强度高、收缩小、与混凝土粘结性能好等一系列优点。采用高性能水泥复合砂浆钢筋网薄层加固混凝土构件能有效地提高构件的承载力、刚度、延性和抗裂性能。但是以往的研究主要集中在静力性能方面,在疲劳性能方面所做研究工作还不够。因此本文对HPFL加固混凝土梁的疲劳性能进行了研究,主要做了以下方面的工作:
(1)对1根对比梁和4根HPFL加固梁进行了较大荷载作用下的疲劳试验。结果表明在超载情况下构件发生疲劳破坏的模式为梁底受拉钢筋首先疲劳断裂,然后顶部混凝土压碎。加固梁的疲劳寿命比未加固梁有了较大的提高,跨中挠度降低,裂缝间距和数量明显减少,受压区边缘混凝土应变和梁底受拉钢筋应变也均显著减小。
(2)对4根HPFL加固梁进行了一般荷载水平作用下的疲劳试验。200万次之后未发生疲劳破坏,这证明HPFL加固法是可以应用于疲劳加固的。试验结果显示,在疲劳200万次之后的静载破坏试验中,加固层端部没有植剪切销钉的试件发生了端部加固层与梁混凝土的剥离破坏,而植入了剪切销钉的3根试件均未发生这种破坏模式。这表明加固时在梁端部植入剪切销钉,对于避免发生加固层端部剥离的破坏模式是非常有效的。
(3)对HPFL加固混凝土梁的疲劳性能进行了理论分析。采用换算截面法,考虑混凝土疲劳变形模量随疲劳荷载循环次数的变化,推导出了HPFL加固混凝土梁的疲劳应力计算公式。对疲劳试验数据进行拟合,得到了钢筋的S-N曲线,可以用来预测加固梁的疲劳寿命。利用刚度折减系数法推导了HPFL加固混凝土梁疲劳刚度的计算式,计算值与试验结果吻合较好。
High Performance Ferrocement Laminate (HPFL) is a new type of inorganic material with series of advantages, such as high strength, small shrinkage, and good bonding properties with concrete. Concrete components strengthened with HPFL have an effective increase in carrying capacity, stiffness, ductility and crack resistance. Previous studies mainly concentrated in the static performance and very little information exists regarding the fatigue behavior of reinforced concrete beams strengthened with HPFL. This thesis presents the results of an investigation into the fatigue performance of RC beams retrofitted with HPFL.
(1) A control specimen and four strengthened beams were tested under a higher fatigue loading. The results indicated that fatigue failure of the RC beams started with steel rupturing on the bottom followed by concrete crushed in case of overloading. The fatigue life of strengthened beams could be extended significantly compared with the control beam. The deflections, the spacing and the number of the cracks were decreased obviously. The strain of concrete and steels had also greatly reduced.
(2) Fatigue experiments of four beams strengthened with HPFL were conducted under a normal level cyclic loading. All of the four beams did not fail after 2 million cycles. This proves that HPFL can be applied to the repairing of reinforced concrete beams subjected to fatigue loading. The experimental results also showed that the failure mode of the specimen without shear dowels was debonding between the interface of HPFL and concrete in the following static test. However, debonding of HPFL was not observed in the other three retrofit specimens. Thus, it is very effective to avoid debonding between the interface of HPFL and concrete by planting shear pins at the end of beams.
(3) Theoretical analysis on strengthening of RC beams using HPFL under fatigue loading was carried out. The formula for fatigue stress calculation was put forward by transformed section method, in which changes of concrete fatigue deformation modulus with cycles was considered. The fatigue life can be predicted by using the steel S-N curves obtained from the experimental results. The formula for stiffness calculation was presented by reduction coefficient method, which indicated a good agreement between theoretical values and experimental results.
(1)对1根对比梁和4根HPFL加固梁进行了较大荷载作用下的疲劳试验。结果表明在超载情况下构件发生疲劳破坏的模式为梁底受拉钢筋首先疲劳断裂,然后顶部混凝土压碎。加固梁的疲劳寿命比未加固梁有了较大的提高,跨中挠度降低,裂缝间距和数量明显减少,受压区边缘混凝土应变和梁底受拉钢筋应变也均显著减小。
(2)对4根HPFL加固梁进行了一般荷载水平作用下的疲劳试验。200万次之后未发生疲劳破坏,这证明HPFL加固法是可以应用于疲劳加固的。试验结果显示,在疲劳200万次之后的静载破坏试验中,加固层端部没有植剪切销钉的试件发生了端部加固层与梁混凝土的剥离破坏,而植入了剪切销钉的3根试件均未发生这种破坏模式。这表明加固时在梁端部植入剪切销钉,对于避免发生加固层端部剥离的破坏模式是非常有效的。
(3)对HPFL加固混凝土梁的疲劳性能进行了理论分析。采用换算截面法,考虑混凝土疲劳变形模量随疲劳荷载循环次数的变化,推导出了HPFL加固混凝土梁的疲劳应力计算公式。对疲劳试验数据进行拟合,得到了钢筋的S-N曲线,可以用来预测加固梁的疲劳寿命。利用刚度折减系数法推导了HPFL加固混凝土梁疲劳刚度的计算式,计算值与试验结果吻合较好。
High Performance Ferrocement Laminate (HPFL) is a new type of inorganic material with series of advantages, such as high strength, small shrinkage, and good bonding properties with concrete. Concrete components strengthened with HPFL have an effective increase in carrying capacity, stiffness, ductility and crack resistance. Previous studies mainly concentrated in the static performance and very little information exists regarding the fatigue behavior of reinforced concrete beams strengthened with HPFL. This thesis presents the results of an investigation into the fatigue performance of RC beams retrofitted with HPFL.
(1) A control specimen and four strengthened beams were tested under a higher fatigue loading. The results indicated that fatigue failure of the RC beams started with steel rupturing on the bottom followed by concrete crushed in case of overloading. The fatigue life of strengthened beams could be extended significantly compared with the control beam. The deflections, the spacing and the number of the cracks were decreased obviously. The strain of concrete and steels had also greatly reduced.
(2) Fatigue experiments of four beams strengthened with HPFL were conducted under a normal level cyclic loading. All of the four beams did not fail after 2 million cycles. This proves that HPFL can be applied to the repairing of reinforced concrete beams subjected to fatigue loading. The experimental results also showed that the failure mode of the specimen without shear dowels was debonding between the interface of HPFL and concrete in the following static test. However, debonding of HPFL was not observed in the other three retrofit specimens. Thus, it is very effective to avoid debonding between the interface of HPFL and concrete by planting shear pins at the end of beams.
(3) Theoretical analysis on strengthening of RC beams using HPFL under fatigue loading was carried out. The formula for fatigue stress calculation was put forward by transformed section method, in which changes of concrete fatigue deformation modulus with cycles was considered. The fatigue life can be predicted by using the steel S-N curves obtained from the experimental results. The formula for stiffness calculation was presented by reduction coefficient method, which indicated a good agreement between theoretical values and experimental results.
引文
[1] 姚继涛,马永欣,董振平,等.建筑物可靠性鉴定和加固基本原理和方法.北京:科学出版社,2003,1-3
[2] 刘来君,赵小星.桥梁加固设计与施工技术.北京:人民交通出版社,2004,1-2
[3] 唐业清,万墨林.建筑物改造与病害处理.北京:中国建筑工业出版社,2000,93-95
[4] 岳清瑞,杨勇新.《碳纤维片材加固修复混凝土结构技术规程(CECS146:2003)》介绍.建筑结构,2003,33(6):69-72
[5] Shahawy M,Chaallal O,Beitelman T.E,et al. Flexural Strengthening with Carbon Fiber Reinforced Polymer Composites of Preloaded Full-scale Girders. ACI Structural Journal, 2001(9-10), 735-742
[6] 赵彤,谢剑,戴自强.碳纤维布加固钢筋混凝土梁受弯承载力试验研究.建筑结构,2000,30(7):11-15
[7] 蒋隆敏.钢筋网高性能水泥复合砂浆加固RC柱在静载与低周反复荷载作用下的性能研究:[湖南大学博士学位论文].长沙:湖南大学土木工程学院,2006,5-6
[8] Romualdi. Ferrocement for Infrastructure Rehabilitation. Concrete International: Design and Construction, 1987, 9(9): 24-28
[9] Irons. Laminated for Better repair. Concrete International: Design and Construction, 1987, 9(9): 34-38
[10] Sharma. Tests of Reinforced Concrete Continuous Beams with and without Ferrocement. Concrete International, 1992, 14(3): 36-40
[11] Logan D, Shah S P. Moment Capacity and Cracking Behaviour of Ferrocement in Flexure. Journal of the American Concrete Institute, 1973, 70(12): 799-804
[12] Chien-Hung Lin, Shyh-Ming Peng. Behaviour of Concrete Beams with Welded Fabric as Shear Reinforced. ACI Structural Journal, 1998, 95(5): 540-546
[13] Aurellado J P G. Performance of Repaired Reinforced Concrete T-Beams:[ dissertation]. Singapore: National University of Singapore, 1994, 103-104
[14] Ong K C G, Paramasivam P, Lim C T E. Flexural Strengthening of Reinforced Concrete Beams Using Ferrocement Laminate. Journal of Ferrocement, 1992, 2(24): 331-342
[15] Deasayi P, Kumar N N. Strength and Behaviour Ferrocement in Shear. Cement &Concrete Composites, 1992, 14(4): 33-45
[16] Mansur M A, Ong K C G. Shear Strength of Ferrocement I-Beams. ACI Structural Journal, 1991, 88(4): 458-464
[17] 黄忠邦.国外关于钢筋网水泥砂浆抗震加固的研究.建筑结构, 1994,9(3):44-47
[18] 熊光晶,Singh G.保护层的质和量与镀锌焊接钢丝网水泥的耐久性.水利学报,1998,7(2):41-43
[19] 熊光晶.焊接钢丝网水泥弯曲极限承载力的计算.建筑结构学报,1997,18(1):33-40
[20] 黄忠邦.水泥砂浆及钢筋网水泥砂浆面层加固砖砌体试验.天津大学学报,1994,27(6):764-770
[21] 熊光晶,陈立强.一种混杂改性钢丝网水泥的抗弯曲荷载-流动酸性腐蚀共同作用的性能.土木工程学报,2002,23(2):33-35
[22] Shang S P, Zeng L H, Peng H. Flexural Strengthening of Reinforced Concrete Beam with Ferrocement. In:Proc of the 28th Conference on Our World in Concrete & Structures. Singapore, 2003: 501-508
[23] 尚守平,曾令宏,陈大川,等.钢丝网复合砂浆加固RC梁的受弯试验研究.见:第六届全国建筑物鉴定与加固改造学术会议论文集.长沙:湖南大学出版社,2002,727-732
[24] 尚守平,曾令宏,彭晖,等.复合砂浆钢丝网加固RC受弯构件的试验研究.建筑结构学报,2003,24(6):87-91
[25] 尚守平,蒋隆敏,张毛心.钢筋网水泥复合砂浆加固RC偏心受压柱的试验研究.建筑结构学报,2005,26(2):18-33
[26] 聂建国,王寒冰,张天申,等.高强不锈钢绞线网-渗透性聚合砂浆抗弯加固的试验研究.建筑结构学报,2005,26(2):1-9
[27] 颜军.HPF加固RC梁抗剪剥离性能及高温性能试验研究:[湖南大学硕士学位论文].长沙:湖南大学土木工程学院,2007,65-67
[28] 李秀芬,吴佩刚,赵光仪.高强混凝土梁抗弯疲劳性能的试验研究.土木工程学报,1997,30(5):37-42
[29] 陈浩军,彭艺斌,张起森.冷轧带肋钢筋混凝土受弯构件疲劳性能研究.中国公路学报,2006,19(1):23-27
[30] 肖建庄,陈德银,查全藩.高性能混凝土简支梁正截面抗弯疲劳试验.结构工程师,2006,22(4):72-76
[31] 李惠民,顾传霖.钢筋混凝土梁斜截面疲劳强度及裂缝控制.建筑结构学报,1989,10(6):2-9
[32] 张建荣,吴进,杨建华.植筋搭接混凝土梁静力及疲劳受弯试验研究.建筑结构学报,2005,26(5):96-103
[33] Barnes R.A., and Mays G.C. Fatigue Performance of Concrete Beams Strengthened with CFRP Plates. Journal of Composites for Constructions, ASCE, 1999, 3(2):63-72
[34] Shahawy, M, and Beitelman, T.E. Static and Fatigue Performance of RC Beams Strengthened with CFRP Laminates. Journal of Structural Engineering, ASCE, 1999, 125(6): 613-621
[35] P.J.Heffernan, M.A.Erki. Fatigue Behavior of Reinforced Concrete Beams Strengthened with Carbon Fiber Reinforced Plastic Laminates. Journal of Composites for Constructions, ASCE, 2004, 8(2): 132-140
[36] John Aidoo, Kent A. Harries, Michael F. Petrou. Fatigue Behavior of Carbon Fiber Reinforced Polymer Strengthened Reinforced Concrete Bridge Girders. Journal of Composites for Constructions, ASCE, 2004, 8(6): 501-509
[37] Houssam Toutanji, Liangying Zhao, Yong Deng, et al. Cyclic Behavior of RC Beams Strengthened with Carbon Fiber Sheets Bonded by Inorganic Matrix. Journal of Materials in Civil Engineering, 2006, 18(1): 28-35
[38] 曾宪桃,车惠民.粘贴玻璃钢板加固混凝土梁疲劳试验研究.土木工程学报,2001,34(1):33-38
[39] 李源,张保印,刘匀,等.碳素纤维布加固混凝土梁的疲劳试验研究.见:第二届全国土木工程用纤维增强复合材料应用技术学术交流会学术论文集.北京:清华大学出版社,2002,181-187
[40] 尚守平.高性能水泥复合砂浆钢筋网加固混凝土结构设计与施工指南.北京:中国建筑工业出版社,2008,174-199
[41] 尚守平,龙凌霄,曾令宏.销钉在钢筋网复合砂浆加固混凝土构件中的性能研究.建筑结构,2006,36(3):10-12
[42] 曾志斌,李之榕.普通混凝土梁用钢筋的疲劳 S-N 曲线研究.土木工程学报,1999,32(5):10-14
[43] 文雨松,陈志芳.并列混凝土桥梁的疲劳加固.铁道学报,1999,21(6):105-107
[44] 过 镇 海 , 时 旭 东 . 钢 筋 混 凝 土 原 理 和 分 析 . 北 京 : 清 华 大 学 出 版 社 ,2003,352-354
[45] 钟美秦,江加蔚.混凝土疲劳强度的研究.铁道建筑,1996,9(9):25-29
[46] 王时越,张立翱,徐人平.弹性模量对混凝土疲劳性能的影响.昆明理工大学学报,2001,26(5):18-25
[47] 太原工学院土木系.钢筋混凝土受弯构件正截面疲劳验算方法的研究.见:钢筋混凝土研究报告选集.北京:中国建筑工业出版社,1981,235-254
[48] 宋玉普.混凝土结构的疲劳性能及设计原理.北京:机械工业出版社,2006, 169-173
[49] 吴佩刚,赵光仪,白利明.高强混凝土抗压疲劳性能研究.土木工程学报,1994,27(3):33-40
[50] 姚卫星.结构疲劳寿命分析.北京:国防工业出版社,2003,2-3
[51] Sherif El-Tawil, Cahit Ogunc, Ayman Okeil et al. Static and Fatigue Analysis of RC Beams Strengthened with CFRP Laminates. Journal of Composites for Construction, ASCE, 2001,5(4):258-267
[52] 王瑞敏,赵国藩,宋玉普.混凝土的受压疲劳性能研究.土木工程学报,1991,24(4):38-47
[53] 吕海燕,戴公连,李德建.预应力混凝土梁在疲劳荷载作用下的变形.长沙铁道学院学报,1998,16(1):24-28
[54] 戴公连,徐名枢.预应力、部分预应力钢筋混凝土梁在疲劳荷载作用下挠度试验研究.长沙铁道学院学报,1991,9(3):90-100
[55] 沈忠斌,蓝宗建,丁大钧.重复荷载作用下钢筋砼受弯构件变形的试验研究.沈阳建筑工程学院学报,1991,7(3):273-279
[56] 章坚洋.混合配筋部分预应力混凝土梁正截面疲劳性能研究:[大连理工大学硕士学位论文].大连:大连理工大学,2005,63-71
[57] 曾令宏.高性能复合砂浆钢筋(丝)网加固混凝土梁试验研究与理论分析:[湖南大学博士学位论文].长沙:湖南大学土木工程学院,2006,140-143
[2] 刘来君,赵小星.桥梁加固设计与施工技术.北京:人民交通出版社,2004,1-2
[3] 唐业清,万墨林.建筑物改造与病害处理.北京:中国建筑工业出版社,2000,93-95
[4] 岳清瑞,杨勇新.《碳纤维片材加固修复混凝土结构技术规程(CECS146:2003)》介绍.建筑结构,2003,33(6):69-72
[5] Shahawy M,Chaallal O,Beitelman T.E,et al. Flexural Strengthening with Carbon Fiber Reinforced Polymer Composites of Preloaded Full-scale Girders. ACI Structural Journal, 2001(9-10), 735-742
[6] 赵彤,谢剑,戴自强.碳纤维布加固钢筋混凝土梁受弯承载力试验研究.建筑结构,2000,30(7):11-15
[7] 蒋隆敏.钢筋网高性能水泥复合砂浆加固RC柱在静载与低周反复荷载作用下的性能研究:[湖南大学博士学位论文].长沙:湖南大学土木工程学院,2006,5-6
[8] Romualdi. Ferrocement for Infrastructure Rehabilitation. Concrete International: Design and Construction, 1987, 9(9): 24-28
[9] Irons. Laminated for Better repair. Concrete International: Design and Construction, 1987, 9(9): 34-38
[10] Sharma. Tests of Reinforced Concrete Continuous Beams with and without Ferrocement. Concrete International, 1992, 14(3): 36-40
[11] Logan D, Shah S P. Moment Capacity and Cracking Behaviour of Ferrocement in Flexure. Journal of the American Concrete Institute, 1973, 70(12): 799-804
[12] Chien-Hung Lin, Shyh-Ming Peng. Behaviour of Concrete Beams with Welded Fabric as Shear Reinforced. ACI Structural Journal, 1998, 95(5): 540-546
[13] Aurellado J P G. Performance of Repaired Reinforced Concrete T-Beams:[ dissertation]. Singapore: National University of Singapore, 1994, 103-104
[14] Ong K C G, Paramasivam P, Lim C T E. Flexural Strengthening of Reinforced Concrete Beams Using Ferrocement Laminate. Journal of Ferrocement, 1992, 2(24): 331-342
[15] Deasayi P, Kumar N N. Strength and Behaviour Ferrocement in Shear. Cement &Concrete Composites, 1992, 14(4): 33-45
[16] Mansur M A, Ong K C G. Shear Strength of Ferrocement I-Beams. ACI Structural Journal, 1991, 88(4): 458-464
[17] 黄忠邦.国外关于钢筋网水泥砂浆抗震加固的研究.建筑结构, 1994,9(3):44-47
[18] 熊光晶,Singh G.保护层的质和量与镀锌焊接钢丝网水泥的耐久性.水利学报,1998,7(2):41-43
[19] 熊光晶.焊接钢丝网水泥弯曲极限承载力的计算.建筑结构学报,1997,18(1):33-40
[20] 黄忠邦.水泥砂浆及钢筋网水泥砂浆面层加固砖砌体试验.天津大学学报,1994,27(6):764-770
[21] 熊光晶,陈立强.一种混杂改性钢丝网水泥的抗弯曲荷载-流动酸性腐蚀共同作用的性能.土木工程学报,2002,23(2):33-35
[22] Shang S P, Zeng L H, Peng H. Flexural Strengthening of Reinforced Concrete Beam with Ferrocement. In:Proc of the 28th Conference on Our World in Concrete & Structures. Singapore, 2003: 501-508
[23] 尚守平,曾令宏,陈大川,等.钢丝网复合砂浆加固RC梁的受弯试验研究.见:第六届全国建筑物鉴定与加固改造学术会议论文集.长沙:湖南大学出版社,2002,727-732
[24] 尚守平,曾令宏,彭晖,等.复合砂浆钢丝网加固RC受弯构件的试验研究.建筑结构学报,2003,24(6):87-91
[25] 尚守平,蒋隆敏,张毛心.钢筋网水泥复合砂浆加固RC偏心受压柱的试验研究.建筑结构学报,2005,26(2):18-33
[26] 聂建国,王寒冰,张天申,等.高强不锈钢绞线网-渗透性聚合砂浆抗弯加固的试验研究.建筑结构学报,2005,26(2):1-9
[27] 颜军.HPF加固RC梁抗剪剥离性能及高温性能试验研究:[湖南大学硕士学位论文].长沙:湖南大学土木工程学院,2007,65-67
[28] 李秀芬,吴佩刚,赵光仪.高强混凝土梁抗弯疲劳性能的试验研究.土木工程学报,1997,30(5):37-42
[29] 陈浩军,彭艺斌,张起森.冷轧带肋钢筋混凝土受弯构件疲劳性能研究.中国公路学报,2006,19(1):23-27
[30] 肖建庄,陈德银,查全藩.高性能混凝土简支梁正截面抗弯疲劳试验.结构工程师,2006,22(4):72-76
[31] 李惠民,顾传霖.钢筋混凝土梁斜截面疲劳强度及裂缝控制.建筑结构学报,1989,10(6):2-9
[32] 张建荣,吴进,杨建华.植筋搭接混凝土梁静力及疲劳受弯试验研究.建筑结构学报,2005,26(5):96-103
[33] Barnes R.A., and Mays G.C. Fatigue Performance of Concrete Beams Strengthened with CFRP Plates. Journal of Composites for Constructions, ASCE, 1999, 3(2):63-72
[34] Shahawy, M, and Beitelman, T.E. Static and Fatigue Performance of RC Beams Strengthened with CFRP Laminates. Journal of Structural Engineering, ASCE, 1999, 125(6): 613-621
[35] P.J.Heffernan, M.A.Erki. Fatigue Behavior of Reinforced Concrete Beams Strengthened with Carbon Fiber Reinforced Plastic Laminates. Journal of Composites for Constructions, ASCE, 2004, 8(2): 132-140
[36] John Aidoo, Kent A. Harries, Michael F. Petrou. Fatigue Behavior of Carbon Fiber Reinforced Polymer Strengthened Reinforced Concrete Bridge Girders. Journal of Composites for Constructions, ASCE, 2004, 8(6): 501-509
[37] Houssam Toutanji, Liangying Zhao, Yong Deng, et al. Cyclic Behavior of RC Beams Strengthened with Carbon Fiber Sheets Bonded by Inorganic Matrix. Journal of Materials in Civil Engineering, 2006, 18(1): 28-35
[38] 曾宪桃,车惠民.粘贴玻璃钢板加固混凝土梁疲劳试验研究.土木工程学报,2001,34(1):33-38
[39] 李源,张保印,刘匀,等.碳素纤维布加固混凝土梁的疲劳试验研究.见:第二届全国土木工程用纤维增强复合材料应用技术学术交流会学术论文集.北京:清华大学出版社,2002,181-187
[40] 尚守平.高性能水泥复合砂浆钢筋网加固混凝土结构设计与施工指南.北京:中国建筑工业出版社,2008,174-199
[41] 尚守平,龙凌霄,曾令宏.销钉在钢筋网复合砂浆加固混凝土构件中的性能研究.建筑结构,2006,36(3):10-12
[42] 曾志斌,李之榕.普通混凝土梁用钢筋的疲劳 S-N 曲线研究.土木工程学报,1999,32(5):10-14
[43] 文雨松,陈志芳.并列混凝土桥梁的疲劳加固.铁道学报,1999,21(6):105-107
[44] 过 镇 海 , 时 旭 东 . 钢 筋 混 凝 土 原 理 和 分 析 . 北 京 : 清 华 大 学 出 版 社 ,2003,352-354
[45] 钟美秦,江加蔚.混凝土疲劳强度的研究.铁道建筑,1996,9(9):25-29
[46] 王时越,张立翱,徐人平.弹性模量对混凝土疲劳性能的影响.昆明理工大学学报,2001,26(5):18-25
[47] 太原工学院土木系.钢筋混凝土受弯构件正截面疲劳验算方法的研究.见:钢筋混凝土研究报告选集.北京:中国建筑工业出版社,1981,235-254
[48] 宋玉普.混凝土结构的疲劳性能及设计原理.北京:机械工业出版社,2006, 169-173
[49] 吴佩刚,赵光仪,白利明.高强混凝土抗压疲劳性能研究.土木工程学报,1994,27(3):33-40
[50] 姚卫星.结构疲劳寿命分析.北京:国防工业出版社,2003,2-3
[51] Sherif El-Tawil, Cahit Ogunc, Ayman Okeil et al. Static and Fatigue Analysis of RC Beams Strengthened with CFRP Laminates. Journal of Composites for Construction, ASCE, 2001,5(4):258-267
[52] 王瑞敏,赵国藩,宋玉普.混凝土的受压疲劳性能研究.土木工程学报,1991,24(4):38-47
[53] 吕海燕,戴公连,李德建.预应力混凝土梁在疲劳荷载作用下的变形.长沙铁道学院学报,1998,16(1):24-28
[54] 戴公连,徐名枢.预应力、部分预应力钢筋混凝土梁在疲劳荷载作用下挠度试验研究.长沙铁道学院学报,1991,9(3):90-100
[55] 沈忠斌,蓝宗建,丁大钧.重复荷载作用下钢筋砼受弯构件变形的试验研究.沈阳建筑工程学院学报,1991,7(3):273-279
[56] 章坚洋.混合配筋部分预应力混凝土梁正截面疲劳性能研究:[大连理工大学硕士学位论文].大连:大连理工大学,2005,63-71
[57] 曾令宏.高性能复合砂浆钢筋(丝)网加固混凝土梁试验研究与理论分析:[湖南大学博士学位论文].长沙:湖南大学土木工程学院,2006,140-143