钢—混凝土组合梁刚度分析研究
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摘要
钢-混凝土组合结构是在钢结构和钢筋混凝土结构基础上发展起来的一种新型结构,充分利用了钢材和混凝土材料的各自优点,技术经济效益和社会效益显著,已应用于许多超高层建筑及大跨桥梁。而钢-混凝土组合梁作为组合结构中重要的横向承重构件,其性能研究对其推广应用具有重要意义。
钢-混凝土组合梁的刚度变化一般可分三个阶段:弹性阶段、塑性阶段及退化阶段。在使用荷载下组合梁一般处于弹性状态,其刚度的确定直接影响到挠度计算的准确,而交界面的相对滑移对组合梁正常使用状态下的变形的影响是不可忽视的,特别是抗剪连接件为柔性时,这已经被实验所证实。本论文就现有规范的不足对刚度的计算进行了修正,通过解析法得到相对滑移的微分方程,将简支组合梁在三种典型荷载下折减刚度系数沿梁分布函数拟合为二次项公式,进而得到了简支组合梁附加变形系数计算公式,跨中计算挠度与试验结果作了比较,结果吻合很好;同理分析了连续组合梁因负弯矩区混凝土翼板退出工作对刚度的影响,进而可得连续组合梁交界面相对滑移的计算可按弹性状态下的滑移进行计算,从而得到跨中变形计算公式,利用算例进行比较,结果偏于安全;此外框架组合梁的特性类似于连续组合梁,根据增量势能变分原理得到框架组合梁的杆元刚度矩阵,简化组合梁特征截面刚度在逐级荷载下的计算公式,与试验比较其很好的预测组合梁工作过程。
Steel - concrete composite structure as a new structure developed on the basis ofthe steel structure and reinforced concrete structure, makes full use of steel andconcrete materials respective advantages, technical significant economic and socialbenefits, and has been used in many high-rise buildings and large-span bridges. Whilesteel-concrete composite beams are the important horizontal load-bearing components,the performance of its popularization and application of research is of greatsignificance.
In general, the change of the stiffness of steel - concrete composite beam can bedivided into three stages: flexible Stage, plastic stage and the stage of degradation,composite beams under service load are in the general state of flexibility, stiffnessdetermine a direct impact on the deflection calculated accurately. Interface and therelative slip of the normal use of composite beams under the influence of deformationcan not be ignored, especially Shear Connectors for flexible, it has been confirmed byexperiments. This thesis is based on the inadequacy of existing norms and amendsthrough analytical method relative slip differential equations, and when simplysupported composite beams are under three typical load the function of stiffness alongthe beam is made up by binomial coefficients. Then additional deformation of simplysupported composite beams can be determined, the results agree well with the resultsof experiments. Similarly this paper analyses stiffness of continuous composite beamsbecause of no working of the concrete of the negative wing plates, which can be acombination of that continuous beam interface slip can be calculated in the elasticstate, resulting in the deformation-formula and proving the results are somewhat safe.Besides the composite beams of the frame work similarly to the continuous compositebeam, and the incremental energy variational principle is used to get stiffness matrixof the composite beam element. At last, stiffness of cross-section of composite beamin rehearsal load calculation formula is simplified, the curves compared well with theexperimental curves, and can forecast composite beams the working process.
钢-混凝土组合梁的刚度变化一般可分三个阶段:弹性阶段、塑性阶段及退化阶段。在使用荷载下组合梁一般处于弹性状态,其刚度的确定直接影响到挠度计算的准确,而交界面的相对滑移对组合梁正常使用状态下的变形的影响是不可忽视的,特别是抗剪连接件为柔性时,这已经被实验所证实。本论文就现有规范的不足对刚度的计算进行了修正,通过解析法得到相对滑移的微分方程,将简支组合梁在三种典型荷载下折减刚度系数沿梁分布函数拟合为二次项公式,进而得到了简支组合梁附加变形系数计算公式,跨中计算挠度与试验结果作了比较,结果吻合很好;同理分析了连续组合梁因负弯矩区混凝土翼板退出工作对刚度的影响,进而可得连续组合梁交界面相对滑移的计算可按弹性状态下的滑移进行计算,从而得到跨中变形计算公式,利用算例进行比较,结果偏于安全;此外框架组合梁的特性类似于连续组合梁,根据增量势能变分原理得到框架组合梁的杆元刚度矩阵,简化组合梁特征截面刚度在逐级荷载下的计算公式,与试验比较其很好的预测组合梁工作过程。
Steel - concrete composite structure as a new structure developed on the basis ofthe steel structure and reinforced concrete structure, makes full use of steel andconcrete materials respective advantages, technical significant economic and socialbenefits, and has been used in many high-rise buildings and large-span bridges. Whilesteel-concrete composite beams are the important horizontal load-bearing components,the performance of its popularization and application of research is of greatsignificance.
In general, the change of the stiffness of steel - concrete composite beam can bedivided into three stages: flexible Stage, plastic stage and the stage of degradation,composite beams under service load are in the general state of flexibility, stiffnessdetermine a direct impact on the deflection calculated accurately. Interface and therelative slip of the normal use of composite beams under the influence of deformationcan not be ignored, especially Shear Connectors for flexible, it has been confirmed byexperiments. This thesis is based on the inadequacy of existing norms and amendsthrough analytical method relative slip differential equations, and when simplysupported composite beams are under three typical load the function of stiffness alongthe beam is made up by binomial coefficients. Then additional deformation of simplysupported composite beams can be determined, the results agree well with the resultsof experiments. Similarly this paper analyses stiffness of continuous composite beamsbecause of no working of the concrete of the negative wing plates, which can be acombination of that continuous beam interface slip can be calculated in the elasticstate, resulting in the deformation-formula and proving the results are somewhat safe.Besides the composite beams of the frame work similarly to the continuous compositebeam, and the incremental energy variational principle is used to get stiffness matrixof the composite beam element. At last, stiffness of cross-section of composite beamin rehearsal load calculation formula is simplified, the curves compared well with theexperimental curves, and can forecast composite beams the working process.
引文
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