研究目的：《地铁设计规范》规定,当出入线的列车在进入正线前需要一度停车,且停车信号机至警冲标之间小于列车制动距离时宜设安全线,但对制动距离的计算方法未做详细说明 。 本文根据运动学原理推导出制动距离的计算公式,为设计人员在设计过程中准确把握安全线的设置条件提供参考。
研究结论：经过综合分析,与制动距离有关的主要因素有:列车制动前的起始速度(V0)、终止速度(Vt=0)、列车减速度(ax)、线路坡度(i)、风阻力(f风)、平面圆曲线的曲线阻力(Δi曲) 、列车单位阻力(r阻)。经过推导论证,得出制动距离计算式,按此式可以计算出最不利情况下的制动距离,从而确定是否设置安全线 。
Research purposes：The "Code for Design of Metro" specifies when the train on outbound track or on inbound track needs the transient stop before entering into the main track and the distance between the stop signal and the fouling post is less than the train braking distance standard, the safety track should be installed. But there is no detailed description on the calculation of braking distance. In this paper, a formula for calculation of braking distance is derived according to the principle of kinematics for the purpose of providing the reference to grasping the installation conditions of safety track during the design process.
Research conclusions： From the comprehensive analysis, it is concluded the principal factors about braking distance are as follows: the train initial speed before brake(V0), the train termination speed(Vt=0) , the train deceleration(ax), the track gradient(i), wind resistance(fwind), the curve resistance of flat circular curve (Δicurve) and the train unit resistance(rresistance). From the derivation and demonstration, the formula for calculation of the braking distance is obtained. With this formula, the braking distance under the most unfavorable condition can calculated to determine whether the safety track is needed or not.
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