重力影响下的接触网运动微分方程

针对电气化铁路接触网动力学分析中重力作用的特性,运用基本结构与载荷分离的模式,建立重力影响下的接触网运动微分方程.受电弓与接触网的动态接触与一般的动力学系统不同,在不同时刻弓网系统的静平衡位置不同,弓网系统的重力影响不可忽略.在重力作用下的接触网是悬链形,弓网接触力在一个跨距内呈现规律的起伏变化.在不忽略这种系统的重力影响时,把承力索和接触导线当作基本结构,吊弦、定位器当作作用在基本结构上的荷载,支撑杆当作弹性支座,建立运动微分方程.

Differential equations of catenary''''s motion influenced by gravity

Based on separating the crucial structure and loads, the motional differential equations of catenary were established for the catenary specially influenced by gravity of electrification railway catenaries. Unlike the common dynamic systems, pantograph and catenary are dynamically contacted, and the static balance position of pantograph-catenary system changes at different time, so the gravity influence cannot be neglected. The catenary's shape influenced by gravity is curve, and the pantograph-catenary contact force changes regularly with pattern during one span. By emphasizing the gravity effects, using upper wires and contact wires as the crucial structure, slings and positioner as loads on structure, and supports as elastic stand, the catenary's differential equations of motion were established under gravity.