The movement equation of cars humping is the theoretical base of modelling of hump automation. For a long time, uniform variable motion has been turned to in engineering application, which obviously is not accurate. Starting from research on the influence of wind resistances on cars humping, the quadratic equation of nonuniform variable motion between the wind resistance and rolling speed was established. The equation of nonuniform variable motion of cars humping was set up by mathematical derivation , which revealed the moving law of cars humping more accurately. The mathematical model has been successfully applied in control of car rolling speeds of the automatic hump yard system. Reference can also be provided for modelling in the fields of improvement of hump design methods , accurate measurement of cars humping resistances and cars humping emulation.%车辆溜放运动方程是驼峰自动化建模的基础理论,长期以来工程应用中一直按匀变速运动简化处理,不够精确.本文从研究车辆溜放风阻力着手,建立风阻力与溜放速度间的二次方程,通过数学推导获得溜放车辆的非匀变速运动方程,较匀变速运动方程能够更加精确地反映驼峰车辆溜放的运动规律.该方程已作为数学模型成功应用于驼峰自动化系统车辆溜放速度的精确控制与分析,收效甚好.该方程可供驼峰设计方法改进、车辆溜放阻力精确测量和驼峰溜放仿真时借鉴.
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