城市轨道交通快速发展的同时,其带来振动的危害性已愈发不可忽略,为更好地分析与解决振动的影响,研究了变速移动荷载作用下城市轨道交通连续支承轨道梁的动力响应.首先建立了轨道梁的振动控制方程,然后利用振型叠加法与Duhamel积分得到了梁挠度的积分解析式,最后利用Matlab软件编程计算其变化规律并详细讨论了不同参数对梁振动响应的影响.数值结果表明,轨道梁的挠度随时间先增后减,存在一个极大值;增大系统的抗弯刚度、支承刚度和支承阻尼可以有效减小梁的最大挠度;荷载移动的初速度、加速度会对梁挠度的大小和突变分布区域产生影响.结果对车轨振动控制和城市轨道交通的抗振减振具有一定的参考、指导意义.
The rapid development of urban rail transit at the same time,the hazards of vibration brought about by the more and more can not be ignored,better analysis and solution of the impact of vibration,this paper investigates the dynamic response of continuously sup-ported rail beams of urban rail transit under the action of variable-speed moving loads.Firstly,the vibration control equations of the rail beam are established,then the integrated analytical equation of the beam deflection is obtained by using the superposition method of vibra-tion pattern and Duhamel integral,and finally the Matlab software is used to calculate the change rule.The paper assumes that the boundary conditions are hinged at both ends,and the effects of different parameters on the vibration response of the beam are discussed in detail.Nu-merical results show that the deflection of the rail beam increases and then decreases with time,and there exists a magnitude;increasing the bending stiffness,support stiffness and support damping of the system can effectively reduce the maximum deflection of the beam;the ini-tial velocity and acceleration of the load movement will have an effect on the size of the deflection of the beam and the region of distribu-tion of the sudden change.The results have certain reference and guiding significance for rail vibration control and vibration damping of ur-ban rail transit.