U型薄壁RC受扭构件非线性分析模型及应用  

Nonlinear analysis model and application of RC U-shaped thin-walled members under pure torsion

作　　者：宋冠中[1] 叶英华[1,2] 陈圣刚[1] 刁波[1] 

机构地区：[1]北京航空航天大学交通科学与工程学院,北京100191 [2]亚热带建筑科学国家重点实验室(华南理工大学),广州510640

出　　处：《哈尔滨工业大学学报》2017年第6期40-47,共8页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金(51278020);亚热带建筑科学国家重点实验室重点项目(2015ZA03)

摘　　要：为实现混凝土U型薄壁受扭构件的非线性力学性能分析,本文基于Vlasov开口薄壁结构弹性理论、变角空间桁架模型和微分方程数值解法,提出了钢筋混凝土U型薄壁构件受扭非线性分析模型.针对开口薄壁受扭构件同时存在自由扭转和翘曲扭转的特点,分别推导了U型薄壁截面自由扭转和翘曲扭转非线性刚度分析模型,进而建立了开口薄壁构件受扭非线性分析模型.所提出的受扭非线性分析模型同时考虑了混凝土和钢筋的材料非线性特性、开口薄壁构件的几何非线性特性和自由扭转与翘曲扭转的耦合效应.利用所提出的受扭非线性分析模型编制相应的分析程序,并对5个U型薄壁钢筋混凝土构件进行受扭全过程分析,分析结果与5个U型薄壁钢筋混凝土受扭构件的试验结果均吻合较好,从而验证了所提出的U型薄壁钢筋混凝土构件受扭非线性分析模型的正确性.所提出的受扭非线性分析模型具有计算简单和分析精度较高的特点,可进行混凝土U型薄壁桥梁受扭非线性分析并为该类桥梁的工程设计提供参考.To analyze the nonlinear mechanical behavior of concrete U-shaped thin-walled beams under pure torsion, a nonlinear analysis model was suggested based on Vlasov＇s elastic theory for open thin-walled beams, space truss model and numerical method of differential equation.Aiming at the character that Saint Venant torsion and warping torsion coexist in open thin-walled members, the nonlinear analysis models of the Saint Venant torsion stiffness and warping torsion stiffness of U-shaped cross-section were respectively derived, and nonlinear analysis model of open thin-walled members in pure torsion was derived.The nonlinear material constitutive laws of concrete and steel bars, the geometric nonlinearity of open thin-walled members, and the coupling effect of Saint Venant torsion and warping torsion were considered in the derived nonlinear analysis model.The corresponding analysis program was developed by using the derived nonlinear analysis mode under pure torsion.And 5 existing RC U-shaped thin-walled experimental members under pure torsion were analyzed with the derived nonlinear analysis model.Nonlinear analysis results correspond well with the experimental data.Analysis results confirm that the nonlinear analysis model derived here is correct.The derived nonlinear analysis model is simple and precise, the torsion nonlinear responses of concrete U-shaped thin-walled beam can be analyzed by the derived nonlinear analysis model, and it will provide a technical reference for the engineering design of such concrete members.

关 键 词：钢筋混凝土 U型薄壁梁 扭转 Vlasov理论 桁架模型 微分方程数值解法 

分 类 号：TU375[建筑科学—结构工程]