论文部分内容阅读
本文探索弹性长枕无砟轨道动刚度的变化规律、轨道动力刚度改变对车辆-轨道耦合系统中各构件动力响应及其与车辆、轨道子系统中能量(动能、势能)变化的关系。利用车辆-轨道耦合及哈密顿原理,列出耦合系统总动能、势能和阻尼做功方程并作一阶变分,按对号入座法得出耦合系统总质量矩阵、刚度矩阵和阻尼矩阵,再用Wilson-θ法求解微分方程。通过计算结果分析得出:轨道垂向动刚度与车速的变化规律;扣件刚度、枕下支撑刚度、道床板下(路基)支撑刚度各自对轨道动刚度的影响程度及其与耦合系统中各构件垂向位移、加速度之间的关系;车辆、轨道子系统势能(动能)与轨道动刚度之间的关系,势能(动能)也可作为评价轨道振动的依据。
This paper explored the variation of dynamic stiffness of elastic pillowless ballastless track, the dynamic response of each component in the vehicle-track coupling system and the change of energy (kinetic energy and potential energy) in the vehicle and track subsystem. By using the theory of vehicle-rail coupling and Hamiltonian, the total kinetic energy, the damping energy and the damping equations of work are listed and the first-order variational equations are listed. The total mass matrix, stiffness matrix and damping matrix of the coupled system are obtained according to the contention- θ method for solving differential equations. Through the analysis of the calculation results, it is concluded that the dynamic vertical stiffness of the track and the variation of the vehicle speed, the influence degree of the fastener stiffness, the stiffness of the sub-support, the stiffness of the support under the track bed (subgrade) The relationship between vertical displacement and acceleration of components, the relationship between potential energy (kinetic energy) of vehicle and track subsystem and dynamic stiffness of track, and the potential energy (kinetic energy) can also be used as the basis for evaluating orbital vibration.