考虑初始缺陷和多种荷载作用的高墩稳定性分析

以连续刚构桥最大悬臂状态作为研究对象,同时考虑了高墩几何初始缺陷和多种荷载作用对其几何非线性稳定的影响。通过建立弹性稳定平衡微分方程和二阶分析两种方法,推导出墩顶偏位和墩底弯矩计算公式,以及把多种荷载作为初始缺陷计入墩顶偏位的近似计算公式,简化了高墩在复杂工况下的墩顶偏位、墩底弯矩和最大承载力的求解过程。计算结果与有限元分析吻合良好。

Stability Analysis on High Piers with Consideration of Initial Imperfection and Multiple Loads

When continuous rigid frame bridges on the maximum cantilever phase are taken as the object,the effect of geometrical initial imperfection and multiple loads on high piers’ geometric nonlinear stability are considered at the same time.Calculated formulas for the displacement of pier top and the bending moment of pier bottom are derived,through two methods of establishing elastic stability differential equation and second-order analysis.The approximately calculated formula is obtained,which takes multiple loads as initial imperfection to calculate the displacement of pier top.It is that the solving processes of the displacement of pier top and the bending moment of pier bottom and the most load-carrying capacity under complex operating condition are simplified.The calculation results are in good agreement with the finite element results.