A Partial Functional Differential Method for Shear Lag Analysis of Composite Double-Cell Box Girders
-
摘要: 工程中普遍存在的剪力滞问题可能导致工程结构构件发生大变形以致严重损坏,对工程安全造成极为不利的影响.为了深入研究其作用机理,通过构建抛物型偏泛函模型,利用偏泛函微分系统对双室组合箱梁进行了推导研究.求得了在特殊外荷载(跨中集中荷载)下的特解,进一步得到了4种模式下的剪力滞偏泛函系数表达式.并从混凝土材料参数、钢梁材料参数等影响因素出发,选取模型结构,对该类型双室组合箱梁进行了参数特性研究以及对比分析.通过该研究,可为薄壁箱室结构的设计计算提供一定的指导作用和参照价值.Abstract: The shear lag effects caused large deformation and significant damage of some structural members in engineering, and had unfavorable influences on engineering safety. To deepen the understanding of the shear lag mechanism, the partial functional differential system for steel-concrete composite double-cell box girders was proposed through introduction of different parabolic partial functional modes. In turn, the particular solutions of the differential system were obtained under a specific load (the span-center concentrated load), and the shear lag coefficients under 4 modes of partial functional expressions were also calculated. As for different concrete material parameters and steel material parameters, the shear lag characteristics of the double-cell box girder examples were comparatively studied. This work provides some reference for the design and calculation of thin-wall box girders.
-
[1] ZHOU Yong, YU Yuan-hong. On the oscillation of solutions of first order differential equations with deviating arguments[J].Acta Mathematicae Applicatae Sinica,1999,15(3): 297-302. [2] Ezzinbi K. Existence and stability for some partial functional differential equations with infinite delay[J].Electronic Journal of Differential Equations,2003(116): 1-13. [3] Sa-nguanmanasak J, Chaisomphob T, Yamaguchi E. Stress concentration due to shear lag in continuous box girders[J].Engineering Structures,2007,29(7): 1414-1421. [4] SONG Qi-gen,Scordelis A C. Shear-lag analysis of T-,I-,and box beams[J].Journal of Structural Engineering,1990,116(5): 1290-1305. [5] Kristek V, Evans H R, Ahmad M K H. A shear lag analysis for composite box girders[J].Journal of Constructional Steel Research,1990,16(1): 1-21. [6] Lopez-Anido R, Gangarao H V S. Warping solution for shear lag in thin-walled orthotropic composite beams[J].Journal of Engineering Mechanics,1996,122(5): 449-457. [7] Reissner E. Analysis of shear lag in box beams by the principle of minimum potential energy[J].Quarterly of Applied Mathematics,1946,5(3): 268-278. [8] 朱正伟. 基于能量法的体外预应力筋应力增量计算方法研究[D]. 硕士学位论文. 重庆: 重庆大学, 2005.(ZHU Zheng-wei. Study on stress increments calculating technique of external tendons based on energy method[D]. Master Thesis. Chongqing: Chongqing University, 2005.(in Chinese)) [9] 刘钊, 贺志启, 王景全. 基于能量法的体外预应力梁力筋应力增量研究[J]. 东南大学学报(自然科学版), 2008,38(1): 136-140.(LIU Zhao, HE Zhi-qi, WANG Jing-quan. Stress increment study of external tendons based on energy method[J].Journal of Southeast University (Natural Science Edition),2008,38(1): 136-140.(in Chinese)) [10] 程昌钧, 王颖坚, 马文华, 李家仁. 弹性力学[M]. 北京: 高等教育出版社, 1999.(CHEN Cang-jun, WANG Yin-jian, MA Wen-hua, LI Jia-ren.Mechanics of Elasticity [M]. Beijing: Higher Education Press, 1999.(in Chinese)) [11] 钢结构设计规范: GB50017—2003[S]. 北京: 中国计划出版社, 2003.(Code for design of steel structures: GB50017—2003[S]. Beijing: China Planning Press, 2003.(in Chinese)) [12] 混凝土结构设计规范: GB50010—2010[S]. 北京: 中国建筑工业出版社, 2010.(Code for design of concrete structures: GB50010—2010[S]. Beijing: China Architecture Industry Press, 2010.(in Chinese)) [13] 公路钢结构桥梁设计规范: JTG D64—2015[S]. 北京:人民交通出版社, 2015.(Specifications for design of highway steel bridge: JTG D64—2015[S]. Beijing: China Communication Press, 2015.(in Chinese))
点击查看大图
计量
- 文章访问数: 948
- HTML全文浏览量: 93
- PDF下载量: 760
- 被引次数: 0