Stochastic Analysis of Bending Deflection for Reinforced Concrete Beam in Loading Process
-
摘要: 为研究钢筋混凝土梁在服役期间变形随机性的变化规律,利用蒙特卡洛抽样与钢筋混凝土非线性有限元法,建立了钢筋混凝土梁非线性变形的随机分析模型.利用该模型对经典试验梁进行受力过程弯曲变形的随机分析,并对钢筋混凝土截面配筋率进行了参数分析,结果表明:在加载过程中,梁体变形的变异性是变化的;当荷载在开裂荷载高概率区间内时,梁体变形的变异性最大;不同配筋率的梁体变形的变异性有明显差异,配筋率越低,变异性越高.随着荷载的增大,梁体变形的变异性逐渐减小;当荷载接近正常使用极限时,变异性趋于稳定,此时不同配筋率的梁体变形的变异性也基本一致.Abstract: Combining Monte Carlo sampling with nonlinear finite element method, the random analysis model for nonlinear deflection of reinforced concrete beams was established to assess the random deflection of in-service reinforced concrete beams. Based on this model, the stochastic deflection of the classic concrete beam in loading process was simulated. Meanwhile, the parametric analysis of reinforcement ratio of concrete section was performed. The results show that the variability of deflection changes in loading process. Under the loads of high probability of cracking, the variability of deflection reaches the maximum value. Moreover, the variability of deflection is affected by the reinforcement ratio. The lower reinforcement ratio leads to the higher variability of deflection. However, with the increment of the load, the variability of deflection is reduced. Finally, when the load is close to the serviceability limit state, the variability of deflection for different reinforcement ratios becomes stable and similar.
-
Key words:
- reinforced concrete beam /
- deflection /
- stochastic analysis /
- nonlinear /
- cracking
-
Bljuger Ephraim. Models of R.C structures for probabilistic serviceability analysis CHOI B S, SCANLON A, JOHNSON P A. Monte Carlo simulation of immediate and time-dependent deflections of reinforced concrete beams and slabs [J]. Computer and Structures, 1998, 67: 19-27. KIM J J, TAHA M M R, NOH H C, et al. Reliability analysis to resolve difficulty in choosing from alternative deflection models of RC beams [J]. ACI Structural Journal, 2004, 101(5): 633-641. KHOR E H, ROSOWSKY D V, STEWART M G. Probabilistic analysis of time-dependent deflections of RC flexural members RAMSAY R J, MIRZA S A, MACGREGOR J G. Monte Carlo study of short time deflections of reinforced concrete beams SCANLON A, PINHEIRO L. Allowable deflections: The other side of the equation [J]. Mechanical Systems and Signal Processing, 2013, 37(1): 240-252. TAHA M M R, HASSANAIN M A. Estimating the error in calculated deflections of HPC slabs: a parametric study using the theory of error propagation 唐铁羽,赵国藩. 钢筋混凝土结构正常使用极限状态可靠性分析 [J]. Computer and Structures, 2001, 79(16): 1461-1472. 赵羽习,金伟良. 正常使用极限状态下混凝土结构构件可靠度的分析方法 孙晓燕,黄乘逵. 既有钢筋混凝土桥梁正常使用极限状态可靠度分析 [J]. ACI Journal Proceedings, 1979, 79(8): 897-918. 徐腾飞,向天宇,赵人达. 偏心钢筋混凝土受压柱长期变形分析 [J]. ACI SP, 1992, 133: 111-120. 徐腾飞,向天宇,白雪濛,等. 基于分片响应面的钢筋混凝土梁变形随机模拟 童育强,向天宇,赵人达. 基于退化理论的空间梁单元有限元分析 马坤,向天宇,赵人达,等. 高速铁路钢筋混凝土拱桥长期变形的随机分析 [J]. ACI SP, 2003, 210: 65-92. 刘蕾蕾,白雪濛,徐腾飞,钢筋混凝土梁时变变形的概率密度演化 VAL D V, CHERNIN L. Serviceability reliability of reinforced concrete beams with corroded reinforcement [C]//第六届全国结构工程学术会议论文集:第2卷. 广州:,1997: 98-108. GOEL R, KUMAR R, PAUL D K. Comparative study of various creep and shrinkage prediction models for concrete BRESLER B, SCORDELIS A C. Shear strength of reinforced concrete beams [J]. 浙江大学学报,2002,36(6): 674-679. ZHAO Yuxi, JIN Weiliang. Methods of reliability based on serviceability limited state for concrete structural members [J]. Journal of Zhejiang University, 2002, 36(6): 674-679. VECCHIO F J, SHIM W. Experimental and analytical reexamination of classic concrete beam test [J]. 湖南大学学报,2006,33(4): 21-25. SUN Xiaoyan, HUANG Chengkui. Methods of reliability analysis based on serviceability limited state for existing reinforced concrete bridges [J]. Journal of Hunan University, 2006, 33(4): 21-25. [J]. 西南交通大学学报,2014,49(4): 626-630. XU Tengfei, XIANG Tianyu, ZHAO Renda. Long-term random deflection of eccentrically loaded RC column [J]. Journal of Southwest Jiaotong University, 2014, 49(4): 626-630. [J]. 工程力学,2014,31(11): 170-174.XU Tengfei, XIANG Tianyu, BAI Xuemeng, et al. Stochastic simulation of reinforced concrete beams with a piecewise response surface [J].Engineering Mechanics, 2014, 31(11): 170-174. [J]. 工程力学,2006,23(1): 33-37.TONG Yuqiang, XIANG Tianyu, ZHAO Renda. A degenerated 3D beam element for finite element analysis [J]. Engineering Mechanics, 2006, 23(1): 33-37. [J]. 土木工程学报,2012,45(11): 141-146.MA Kun, XIANG Tianyu, ZHAO Renda, et al. Stochastic analysis of long-term deformation of reinforced concrete arch bridges for high-speed railways [J]. China Civil Engineering Journal, 2012, 45(11): 141-146. [C]//第23届全国结构工程学术会议论文集:第Ⅱ册. 兰州: [s. n.],2014: 80-86. [J]. Journal of Structural Engineering. 2009,19(3): 896-905. [J]. Journal of Materials in Civil Engineering. 2007, 19(3): 249-260. [J]. Journal Proceedings. 1963, 60(1): 51-72. [J]. Journal of Structural Engineering, 2004, 130(3): 460-469.
点击查看大图
计量
- 文章访问数: 959
- HTML全文浏览量: 73
- PDF下载量: 423
- 被引次数: 0