多跨等截面波形钢腹板PC连续箱梁桥竖向弯曲振动频率的计算

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (18) : 140-146.

论文

冀伟1，2，邓露1，刘世忠2，蔺鹏臻2

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Calculation of the Vertical Bending Vibration Frequencies of the PC Continuous Box Girder with Corrugated Steel Webs with Uniform Cross-section

JI Wei1,2, Deng Lu1, Liu Shi-zhong2, LIN Peng-zhen2

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摘要

为合理计算多跨（跨度相等）等截面波形钢腹板PC连续箱梁桥的竖向弯曲振动频率，运用能量变分原理、Hamilton原理及力法方程，建立了该类型箱梁在发生自由弯曲振动时考虑箱梁剪力滞效应、波形钢腹板剪切效应及两者耦合效应的频率方程，求解该频率方程获得了多跨等截面波形钢腹板PC连续箱梁桥竖向弯曲振动频率的求解公式，所得计算公式的正确性得到了室内模型试验实测值、已建实桥实测值和三维有限元值的验证，随后分析了箱梁剪力滞效应、波形钢腹板剪切效应、波形钢腹板剪切模量修正、箱梁宽跨比变化以及不同波形形状对等截面波形钢腹板PC连续箱梁竖向弯曲振动频率的影响，所得结论可为同类型桥梁的竖向弯曲振动频率的计算提供参考。

Abstract

In order to calculate the vertical bending vibration frequencies for the multi-span PC continuous box girder with corrugated steel webs (CSWs) with uniform cross-section, using the energy variation principle, Hamilton principle and the force method equations, the equations of vertical bending vibration frequency are established. The influences of shear lag effect, shear deformation of CSWs effect and the coupling effect of the two are included in the equations of vertical bending vibration frequency. By solving the equations of vertical bending vibration frequency, the calculation formulas of the bending vibration frequencies of the PC continuous box girder with CSWs are obtained. Combined with results of the finite element analysis and the measured values obtained from both the indoor model test girder and built bridge, the validity of the formulas are proved. The influences of shear lag effect, shear deformation of CSWs, shear modulus correction, the variation of width-span ratio and different wave patterns of CSWs on the vertical bending vibration frequencies of this type bridge also are analyzed. These conclusions can provide the valuable references for calculating the vertical bending vibration frequencies of multi-span PC continuous box girder with CSWs with uniform cross-section in practice.

导出引用

冀伟1，2，邓露1，刘世忠2，蔺鹏臻2. 多跨等截面波形钢腹板PC连续箱梁桥竖向弯曲振动频率的计算[J]. 振动与冲击, 2016, 35(18): 140-146

JI Wei1,2, Deng Lu1, Liu Shi-zhong2, LIN Peng-zhen2. Calculation of the Vertical Bending Vibration Frequencies of the PC Continuous Box Girder with Corrugated Steel Webs with Uniform Cross-section[J]. Journal of Vibration and Shock, 2016, 35(18): 140-146

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