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为准确计算钢筋混凝土桥墩位移延性,计入P-Δ效应,对传统的塑性铰模型进行修正。基于MATLAB程序,编制了计算钢筋混凝土桥墩截面弯矩~曲率曲线和水平荷载~位移曲线的程序;利用自编程序,计算了考虑和未考虑P-Δ效应的钢筋混凝土桥墩的位移延性系数,并与基于塑性铰模型计算得到的位移延性系数进行比较;通过定义一个反映P-Δ效应对位移延性系数影响的修正系数,分析了轴压比、剪跨比和曲率延性系数3个参数对该修正系数的影响,得到了相应的回归公式,并将回归公式计算的结果与已有试验数据进行比较。结果表明:编制的MATLAB程序计算结果可信;P-Δ效应对钢筋混凝土桥墩位移延性有较大影响,而塑性铰模型本身不能很好地反映P-Δ效应,需要修正;修正系数随3个参数变化有明显规律性;对于具有良好延性的桥墩,回归公式具有较好的计算精度。
In order to accurately calculate the displacement ductility of reinforced concrete piers, the P-Δ effect is taken into account to correct the traditional plastic hinge model. Based on the MATLAB program, a program was developed to calculate the bending moment-curvature curve and horizontal load-displacement curve of the section of the reinforced concrete piers. The displacement ductility coefficient of the reinforced concrete piers considering and not considering the P-Δ effect And the displacement ductility coefficient calculated based on the plastic hinge model is compared. By defining a correction factor that reflects the effect of P-Δ on the displacement ductility coefficient, the effects of axial compression ratio, shear span ratio and curvature ductility coefficient on the correction Coefficient, the corresponding regression formula is obtained, and the result of the regression formula is compared with the existing experimental data. The results show that the MATLAB program is credible. The P-Δ effect has a great influence on the displacement ductility of the reinforced concrete piers. However, the plastic hinge model itself can not reflect the P-Δ effect well and needs to be corrected. The correction coefficient increases with the increase of 3 The parameters have obvious regularity. For the bridge pier with good ductility, the regression formula has better calculation accuracy.