基于悬链线方程的铰接车辆车顶跨接线缆长度计算方法及应用

陈碧阳吴君刘通

Calculation Method and Application of Overhead Jumper Cable Length for Articulated Vehicles Based on the Catenary Equation

CHEN BiyangWU JunLIU Tong
摘要:
[目的]城市轨道交通多节编组车辆车顶跨接线缆长度的选取复杂而重要,有必要研究基于悬链线方程的铰接车辆车顶跨接线缆长度计算方法,以提高计算的简便性和准确性。[方法]详细阐述了基于悬链线方程的铰接车辆跨接线缆长度计算方法的原理及过程;并在此基础上提出了通过安装支架在车顶进行跨接时,支架高度的计算方法。为提高该方法的应用便捷性,根据该方法开发了计算软件,并在实际项目验证了该方法和软件的可行性。[结果及结论]基于悬链线方程模拟跨接线缆状态,根据沿轨道运行的铰接车辆相邻转向架间中心距不变,参考车辆可通过的最小曲线半径,确定了极限情况下的悬链方程式,进而算出跨接线缆长度,并以此为依据得到跨接线缆长度的最小值。考虑到线缆的最小弯曲半径要求,得到跨接线缆长度的最大值,最终的长度选取应在该范围内。确定线长后,根据悬链线方程可以得到跨接线缆最低点距离安装平面的高度,进而得出支架高度。实际项目应用效果验证了该方法的可行性。
Abstracts:
[Objective] The selection of the overhead JCL (jumper cable length) for multi-marshaling urban rail transit vehicles is both complex and important. It is necessary to study the calculation method of the overhead JCL for articulated vehicles based on the catenary equation, in order to improve the calculation simplicity and accuracy. [Method] The principles and process involved in the calculation method of the overhead JCL for articulated vehicles based on the catenary equation are elaborated in detail; on this basis, a height calculation method of the mounting bracket installed overhead for cable crossing is proposed. In order to improve the application convenience of the method, a calculation software based on it is developed. The feasibility of the method and the software is verified in actual projects. [Result & Conclusion] State of the jumper cable is simulated based on catenary equation. According to the constant center distance between adjacent bogies of the articulated vehicle running along the track, the catenary equation under the limit condition is determined with reference to the minimum curve radius that the vehicle can pass through, and then JCL is calculated. The minimum JCL value is also obtained based on this. Taking into account the cable′s minimum bending radius requirement, the maximum JCL value is also obtained. The final length selection is basically to fall within this range. After determining the cable length, the height of the jumper cable′s lowest point from the installation plane can be obtained according to the catenary equation, thereby the bracket height can be obtained. The feasibility of the method is verified by actual project application effect.
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