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波形钢腹板组合梁的变形分析研究

发布时间:2018-07-07 18:28

  本文选题:波形钢腹板组合梁桥 + 剪切变形 ; 参考:《西南交通大学》2015年硕士论文


【摘要】:波形钢腹板组合梁桥作为一种新型的组合结构桥梁,它的变形特点有别于混凝土梁,和传统的钢-混组合梁也是有区别的。论文结合波形钢腹板组合梁的刚度特征,考虑剪切变形、滑移效应和体外预应力筋应力增量等影响,对其挠度计算方法进行了较为系统的分析和研究。主要工作包括:(1)采用静力法和能量变分法,分别建立了考虑剪切变形影响时波形钢腹板组合梁的挠曲线微分方程。利用此挠曲线微分方程,得到了简支波形钢腹板组合梁在不同荷载作用下由剪切变形产生的跨中挠度的计算公式和短期折减刚度。通过与空间有限元模型进行对比分析,表明理论计算公式是准确的。根据理论计算和有限元分析,高跨比对波形钢腹板组合梁剪切变形的影响较为显著,并给出了在其挠度计算中是否应考虑剪切变形影响的高跨比限值。(2)采用初等梁理论方法,对于目前常用的嵌入型和翼缘型两种连接形式的简支波形钢腹板组合梁,建立了它们的相对滑移微分方程。在此微分方程的基础上,得到了组合梁在不同荷载作用下因滑移引起的跨中附加挠度的计算公式和短期折减刚度。建立了空间有限元模型对理论计算公式进行验证,理论计算值和有限元分析值均吻合良好;同时指出对于嵌入式连接,几乎可以不考虑滑移对挠度的影响,而对于翼缘型采用栓钉连接键时,滑移对挠度的影响比较显著。(3)针对在弹性工作阶段的体外预应力波形钢腹板组合梁,基于力筋和周围混凝土满足位移协调条件,建立了考虑二次效应影响时体外力筋应力增量的计算公式。对应力增量的理论计算值和其他文献的试验实测值进行了分析比较,两者吻合良好,验证了理论公式的正确性。同时考虑二次效应和应力增量的影响,建立了体外预应力筋作用产生的跨中反拱度的计算公式。分析表明,弹性阶段可忽略二次效应对挠度的影响。(4)考虑剪切变形、滑移效应和体外预应力筋应力增量三者对挠度的贡献,得到了简支波形钢腹板组合梁在不同荷载作用下跨中挠度的计算公式和短期综合折减刚度。
[Abstract]:As a new type of composite structure bridge, the deformation characteristics of corrugated steel web composite beam bridge are different from that of concrete beam and traditional steel-concrete composite beam. Considering the stiffness characteristics of corrugated steel web composite beams and considering the effects of shear deformation, slip effect and stress increment of external prestressing tendons, the deflection calculation method is systematically analyzed and studied in this paper. The main works are as follows: (1) by using static method and energy variational method, the differential equations of torsion curve of composite beam with corrugated steel web are established respectively considering the effect of shear deformation. By using the differential equation of deflection curve, the calculation formula and the short-term reduction stiffness of the mid-span deflection caused by shear deformation of simply supported corrugated steel web composite beams under different loads are obtained. By comparing with the spatial finite element model, it is shown that the theoretical formula is accurate. According to the theoretical calculation and finite element analysis, the influence of height to span ratio on shear deformation of corrugated steel web composite beams is obvious, and the limit value of high span ratio should be taken into account in the calculation of deflection. (2) Elementary beam theory method is used. The differential equations of relative slippage of simply supported corrugated steel web composite beams which are commonly used at present are established. On the basis of the differential equation, the formulas for calculating the additional deflection in the span caused by slippage and the short term reduction stiffness of composite beams under different loads are obtained. The spatial finite element model is established to verify the theoretical calculation formula, and the theoretical calculation value is in good agreement with the finite element analysis value, and it is pointed out that the effect of slippage on deflection can hardly be considered for embedded connections. However, for flange type, the effect of slip on deflection is significant when the bolt connection is adopted. (3) for the externally prestressed corrugated steel web composite beam in elastic working stage, the displacement coordination condition is satisfied based on the force bar and surrounding concrete. A formula for calculating the stress increment of external force tendons considering the effect of secondary effect is established. The theoretical calculation value of stress increment is compared with the experimental data measured in other literature. The results agree well with each other and verify the correctness of the theoretical formula. At the same time, considering the influence of quadratic effect and stress increment, the formula for calculating the span-middle arch degree caused by the external prestressing tendons is established. The analysis shows that the effect of secondary effect on deflection can be neglected in elastic stage. (4) considering the contribution of shear deformation, slip effect and stress increment of external prestressing tendons to the deflection, The formulas for calculating the mid-span deflection of simply supported corrugated steel web composite beams under different loads and the short-term comprehensive reduction stiffness are obtained.
【学位授予单位】:西南交通大学
【学位级别】:硕士
【学位授予年份】:2015
【分类号】:U448.216

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