波形钢腹板简支箱梁的竖向基频分析

Study on Vertical Fundamental Frequency of the Box Girder with Corrugated Steel Webs

在考虑波形钢腹板简支箱梁剪力滞效应和钢腹板剪切效应的基础上,以能量变分原理为基础,运用Hamil-ton原理推导出波形钢腹板简支箱梁竖向基频的计算公式,并建立了波形钢腹板简支箱梁的控制微分方程和自然边界条件.在所得的计算公式中发现影响波形钢腹板简支箱梁竖向基频的因素有波形钢腹板的剪切效应、波形钢腹板箱梁的剪力滞效应以及两者的耦合效应.算例中,本文公式的计算结果与Ansys三维有限元计算结果吻合良好,验证了公式的正确性.

Based on the characteristics of the box girder with corrugated steel webs and using the variational principle method, the governing differential equation of motion and the corresponding natural boundary condition are established. The effects of shear lag and shear deformation on the box girder are considered in the natural frequency formula. Combined with the results of the theoretical formula and the Ansys finite element analysis,the effectiveness of the formula is verified. The analysis results show that the natural frequency value calculated by the theoretical formula ment analysis. has high consistency with the results of the finite element analysis.