曲线桥抗震传递矩阵法

本文考虑曲线梁桥在竖直方向的弯扭耦合以及水平方向的弯曲、轴向变形,导出了曲线梁单元竖直方向和水平方向的传递矩阵.给出了用传递矩阵法计算曲线梁桥竖直方向和水平方向的振动频率、振型、地震内力和变形的计算公式和步骤,并运用传递矩阵法对单跨简支桥进行了地震反应分析.算例表明,本文方法简单、具有较高精度和效率,可用于曲线梁桥抗震设计.

Transfer matrix method for seismic analysis of a curved bridge

Considering the bending and torsional coupling of the curved bridge in the vertical direction, as well as the coupling of bending and axial deformation in the horizontal direction,the transfer matrixs of the beam elements in the vertical and horizontal direction is derived.The formulas and steps for calculating the horizontal and vertical vibration frequencies, vibration modes, seismic force and the deformation of curved brige by the transfer matrix method are presented.Then the transfer matrix method is applied to researching the earthquake response of a single-span curved bridge. The example shows that this method is simple high-precision and effective,which can be used for seismic design of curved beam.