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本文应用文献[1]的思路,提出桁梁行車空間振动計算的桁段有限元法。取每节间桁段为一单元,考虑列車各車辆的蛇行、側摆、侧滚、搖头、点头及浮沉,由达朗培尔原理、势能駐值原理及文献[1]中形成矩陣的“对号入座”法則,导出桁梁列車系统总刚度矩陣、总质量矩陣、总阻尼矩陣及总荷载列阵,而得出車桥系统空间振动微分方程組,文末摘录了用此法算出的金沙江桥(192m简支钢桁梁桥)在东风Ⅱ型内燃机車以90km/h通过时的振动时程曲线、沪杭线上41号桥(92.96m简支下承非平行弦钢桁梁桥)的无载频率和振型及ND_2内燃机車代替轮对以53.1km/h通过41号桥的蛇行时程曲线。计算结果与实测良好接近。
In this paper, the idea of literature [1] is used to propose the truss section finite element method for calculating the vibration of the truss and girder. Taking each truss section as a unit, taking into account the serpentine, lateral, rolling, shaking his head, nodding and drifting of each train, the formation of the matrix is formed by the principles of Dirembull, the principle of potential energy conservation and literature [1] The total stiffness matrix, the total mass matrix, the total damping matrix and the total load array of the truss-girder train system are deduced to derive the differential equations of the space vibration of the vehicle axle system. At the end of the article, the Jinshajiang Bridge (192m simply supported steel truss girder bridge) at the Dongfeng Ⅱ locomotive passing 90km / h vibration curve, Shanghai and Hangzhou line 41 Bridge (92.96m simply supported by non-parallel chord steel truss girder bridge) Of the no-load frequency and vibration mode and ND_2 locomotive instead of the wheel set to 53.1km / h through the 41th of the curve of the meandering time. The calculated result is close to the measured value.