冲击荷载下钢筋混凝土梁局部响应特征研究
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摘要
从分析已有冲击试验结果入手,将钢筋混凝土梁的动态响应区分为局部响应阶段和整体响应阶段.由于钢筋混凝土梁在局部响应阶段更易发生脆性剪切破坏,本文主要研究此阶段梁的瞬态响应.讨论了惯性力和负向支座反力对梁内力分布的影响;根据荷载平衡基本原理和参数分析结果建立了梁内力分布的计算方法.结果表明:惯性力和负向支座反力均会影响梁体局部响应阶段的内力分布;负向支座反力近似与梁的跨高比和碰撞力呈线性关系;将惯性力的分布简化为线性分布能够较好地反映梁的实际受力状态.
Based on the existing experimental results, the dynamic response of RC beams under impact loading is divided into local response stage and overall response stage. As RC beams are vulnerable to shear failure during the local response stage, this study investigates the transient response of the components in this stage. Thus, the effect of inertial force and reverse reaction on the internal force distribution at the local response stage is also discussed. Based on the basic principles of force equilibrium and parametric analysis results, a computing method for the internal force of RC beams is proposed. The results show that both the inertial force and negative reverse reaction affect the internal force distribution of beams during the local response stage, and the reverse reaction is approximately linear to the span-depth ratio and peak impact force. The assumption that the distribution of inertial force is linear can well reflect the actual force state of the beam.
Based on the existing experimental results, the dynamic response of RC beams under impact loading is divided into local response stage and overall response stage. As RC beams are vulnerable to shear failure during the local response stage, this study investigates the transient response of the components in this stage. Thus, the effect of inertial force and reverse reaction on the internal force distribution at the local response stage is also discussed. Based on the basic principles of force equilibrium and parametric analysis results, a computing method for the internal force of RC beams is proposed. The results show that both the inertial force and negative reverse reaction affect the internal force distribution of beams during the local response stage, and the reverse reaction is approximately linear to the span-depth ratio and peak impact force. The assumption that the distribution of inertial force is linear can well reflect the actual force state of the beam.
引文
[1]许薛军,单成林.夹层结构曲面环形浮式桥墩防撞套箱碰撞分析[J].湖南大学学报(自然科学版),2015,42(3):106—111.XU X J,SHAN C L. Impact analysis of the bridge pier anti-collision floating box sets made by sandwich structure with curvedshaped[J]. Journal of Hunan University(Natrual Sciences),2015,42(3):106—111.(In Chinese)
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[3] HUGHES G,BEEBY A. Investigation of the effect of impact loading on concrete beams[J]. Structural Engineer,1982,60(3):45—52.
[4] KISHI N,MIKAMI H,MATSUOKA K G,et al. Impact behavior of shear-failure-type RC beams without shear rebar[J]. International Journal of Impact Engineering,2002,27(9):955—968.
[5] SAATCI S,VECCHIO F J. Effects of shear mechanisms on impact behavior of reinforced concrete beams[J]. ACI Structural Journal,2009,106(1):78—86.
[6] FUJIKAKE K,LI B,SOEUN S. Impact response of reinforced concrete beam and its analytical evaluation[J]. Journal of Structural Engineering,2009,135(8):938—950.
[7]许斌,曾翔.冲击荷载作用下钢筋混凝土梁性能试验研究[J].土木工程学报,2014,47(2):41-51.XU B,ZENG X. Experimental study on the behaviours of reinforced concrete beams under impact loading[J]. China Civil Engineering Journal,2014,47(2):41—51.(In Chinese)
[8]王明洋,王德荣,宋春明.钢筋混凝土梁在低速冲击下的计算方法[J].兵工学报,2006,27(3):399—405.WANG M Y,WANG D R,SONG C M. A calculation method of reinforced concrete beam under low velocity impact[J]. Acta Armamentarii,2006,27(3):399—405.(In Chinese)
[9]刘飞,罗旗帜,蒋志刚.低速冲击下RC梁的动态响应和破坏机理研究[J].工程力学,2015,32(5):155—161.LIU F,LUO Q Z,JIANG Z G. Dynamic response and failure mechanism of RC beams to low velocity impact[J]. Engineering Mechanics,2015,32(5):155—161.(In Chinese)
[10] KISHI N,MIKAMI H. Empirical formulas for designing reinforced concrete beams under impact loading[J]. ACI Structural Journal,2012,109(4):509—519.
[11]赵德博,易伟建.钢筋混凝土梁抗冲击性能和设计方法研究[J].振动与冲击,2015,34(11):139—145.ZHAO D B,YI W J. Anti-impact behavior and design method for RC beams[J]. Journal of Vibration and Shock,2015,34(11):139—145.(In Chinese)
[12]JONES N. Structural impact[M]. New York:Cambridge University Press,2011:61—75.
[13] SYMONDS P S,FLEMING W T. Parkes revisited:on rigid-plastic and elastic-plastic dynamic structural analysis[J]. International Journal of Impact Engineering,1984,2(1):1—36.
[14]邢誉峰,谢文剑,诸德超.厚度效应对梁冲击响应的影响[J].力学学报,2004,36(2):184—190.XING Y F,XIE W J,ZHU D C. Influence of thickness effects on impact responses of beam[J]. Acta Mechanica Sinica,2004,36(2):184—190.(In Chinese)
[15]童桦,程红梅,罗松南.预应力损伤混凝土介质中波的传播[J].湖南大学学报(自然科学版),2005,32(1):48—51.TONG H,CHENG H M,LUO S N. Wave propagation in prestressed concrete with damage[J]. Journal of Hunan University(Natural Sciences),2005,32(1):48—51.(In Chinese)
[16] COTSOVOS D M. A simplified approach for assessing the loadcarrying capacity of reinforced concrete beams under concentrated load applied at high rates[J]. International Journal of Impact Engineering,2010,37(8):907—917.
[17]霍静思,胡开赢. RC梁冲击破坏机理试验研究与残余变形预测方法探讨[J].湖南大学学报(自然科学版),2017,44(1):112—117.HUO J S,HU K Y. Failure mechanism of RC beams under impact loading and discussion on prediction methods of residual deflection[J]. Journal of Hunan University(Natural Sciences),2017,44(1):112—117.(In Chinese)
[18] MURRAY Y D. User′s manual for LS-DYNA concrete material model 159[R]. McLean,VA:Federal Highway Administration,2007:3—12.
[19] PHAM T M,HAO H. Behavior of fiber-reinforced polymerstrengthened reinforced concrete beams under static and impact loads[J]. International Journal of Protective Structures,2017,8(1):3—24.
[20]曾翔,许斌.无腹筋钢筋混凝土梁抗冲击行为试验研究[J].土木工程学报,2012,45(9):63—73.ZENG X,XU B. Experimental study on the impact-resistant behavior of RC beams without shear-resistant rebar[J]. China Civil Engineering Journal,2012,45(9):63—73.(In Chinese)
[21] YI W J,ZHAO D B,KUNNATH S K. Simplified approach for assessing shear resistance of reinforced concrete beams under impact loads[J]. ACI Structural Journal,2016,113(4):747—756.
[22]PHAM T M,HAO H. Plastic hinges and inertia forces in RC beams under impact loads[J]. International Journal of Impact Engineering,2017,103:1—11.
[23] BIGGS J M. Introduction to structural dynamics[M]. New York:McGraw Hill,1964:199—203.
[2]王娟,钱江,周德源.城市桥梁下部结构抗重型车辆撞击的数值仿真分析[J].湖南大学学报(自然科学版),2016,43(7):88—95.WANG J,QIAN J,ZHOU D Y. Numerical simulation of urban bridge substructures impacted by heavy vehicles[J]. Journal of Hunan University(Natrual Sciences),2016,43(7):88—95.(In Chinese)
[3] HUGHES G,BEEBY A. Investigation of the effect of impact loading on concrete beams[J]. Structural Engineer,1982,60(3):45—52.
[4] KISHI N,MIKAMI H,MATSUOKA K G,et al. Impact behavior of shear-failure-type RC beams without shear rebar[J]. International Journal of Impact Engineering,2002,27(9):955—968.
[5] SAATCI S,VECCHIO F J. Effects of shear mechanisms on impact behavior of reinforced concrete beams[J]. ACI Structural Journal,2009,106(1):78—86.
[6] FUJIKAKE K,LI B,SOEUN S. Impact response of reinforced concrete beam and its analytical evaluation[J]. Journal of Structural Engineering,2009,135(8):938—950.
[7]许斌,曾翔.冲击荷载作用下钢筋混凝土梁性能试验研究[J].土木工程学报,2014,47(2):41-51.XU B,ZENG X. Experimental study on the behaviours of reinforced concrete beams under impact loading[J]. China Civil Engineering Journal,2014,47(2):41—51.(In Chinese)
[8]王明洋,王德荣,宋春明.钢筋混凝土梁在低速冲击下的计算方法[J].兵工学报,2006,27(3):399—405.WANG M Y,WANG D R,SONG C M. A calculation method of reinforced concrete beam under low velocity impact[J]. Acta Armamentarii,2006,27(3):399—405.(In Chinese)
[9]刘飞,罗旗帜,蒋志刚.低速冲击下RC梁的动态响应和破坏机理研究[J].工程力学,2015,32(5):155—161.LIU F,LUO Q Z,JIANG Z G. Dynamic response and failure mechanism of RC beams to low velocity impact[J]. Engineering Mechanics,2015,32(5):155—161.(In Chinese)
[10] KISHI N,MIKAMI H. Empirical formulas for designing reinforced concrete beams under impact loading[J]. ACI Structural Journal,2012,109(4):509—519.
[11]赵德博,易伟建.钢筋混凝土梁抗冲击性能和设计方法研究[J].振动与冲击,2015,34(11):139—145.ZHAO D B,YI W J. Anti-impact behavior and design method for RC beams[J]. Journal of Vibration and Shock,2015,34(11):139—145.(In Chinese)
[12]JONES N. Structural impact[M]. New York:Cambridge University Press,2011:61—75.
[13] SYMONDS P S,FLEMING W T. Parkes revisited:on rigid-plastic and elastic-plastic dynamic structural analysis[J]. International Journal of Impact Engineering,1984,2(1):1—36.
[14]邢誉峰,谢文剑,诸德超.厚度效应对梁冲击响应的影响[J].力学学报,2004,36(2):184—190.XING Y F,XIE W J,ZHU D C. Influence of thickness effects on impact responses of beam[J]. Acta Mechanica Sinica,2004,36(2):184—190.(In Chinese)
[15]童桦,程红梅,罗松南.预应力损伤混凝土介质中波的传播[J].湖南大学学报(自然科学版),2005,32(1):48—51.TONG H,CHENG H M,LUO S N. Wave propagation in prestressed concrete with damage[J]. Journal of Hunan University(Natural Sciences),2005,32(1):48—51.(In Chinese)
[16] COTSOVOS D M. A simplified approach for assessing the loadcarrying capacity of reinforced concrete beams under concentrated load applied at high rates[J]. International Journal of Impact Engineering,2010,37(8):907—917.
[17]霍静思,胡开赢. RC梁冲击破坏机理试验研究与残余变形预测方法探讨[J].湖南大学学报(自然科学版),2017,44(1):112—117.HUO J S,HU K Y. Failure mechanism of RC beams under impact loading and discussion on prediction methods of residual deflection[J]. Journal of Hunan University(Natural Sciences),2017,44(1):112—117.(In Chinese)
[18] MURRAY Y D. User′s manual for LS-DYNA concrete material model 159[R]. McLean,VA:Federal Highway Administration,2007:3—12.
[19] PHAM T M,HAO H. Behavior of fiber-reinforced polymerstrengthened reinforced concrete beams under static and impact loads[J]. International Journal of Protective Structures,2017,8(1):3—24.
[20]曾翔,许斌.无腹筋钢筋混凝土梁抗冲击行为试验研究[J].土木工程学报,2012,45(9):63—73.ZENG X,XU B. Experimental study on the impact-resistant behavior of RC beams without shear-resistant rebar[J]. China Civil Engineering Journal,2012,45(9):63—73.(In Chinese)
[21] YI W J,ZHAO D B,KUNNATH S K. Simplified approach for assessing shear resistance of reinforced concrete beams under impact loads[J]. ACI Structural Journal,2016,113(4):747—756.
[22]PHAM T M,HAO H. Plastic hinges and inertia forces in RC beams under impact loads[J]. International Journal of Impact Engineering,2017,103:1—11.
[23] BIGGS J M. Introduction to structural dynamics[M]. New York:McGraw Hill,1964:199—203.
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