变速车辆与桥梁的耦合振动及其TMD控制

在车辆变速与路面粗糙条件下,推得安装调质阻尼器(TMD)前、后的车桥耦合系统的无量纲运动微分方程.作为其特例,研究了匀变速车辆与路面粗糙弹性支撑桥梁的耦合系统,讨论了车辆的加速度、初速度、弹性支撑刚度以及随机路面粗糙度对桥梁跨中无量纲最大挠度的影响,并对耦合系统发生共振时进行TMD控制.数值计算结果表明,车辆的加速度、初速度、弹性支撑刚度以及随机路面粗糙度对桥梁的影响均很大而不能忽略;TMD明显地减小了共振振幅.

Vibration and TMD Control of Coupled System of Girder Bridge and Vehicle with Variable Speeds

The dimensionless differential equations of the motion of a coupled system,which consists of a girder bridge with arbitrarily surface irregularities and a vehicle with arbitrarily variable speeds,were derived before and after a tuned mass damper(TMD) was installed.As a special case,a coupled system of a elastically supported girder bridge with random surface irregularities and a vehicle with uniformly variable speeds was researched.The effects of acceleration,deceleration,elastically supported stiffness and random surface irregularities on the mid-span dimensionless maximal deflection of the girder bridge were discussed,and the resonance vibration was controlled by installing TMD.Numerical results showed that the effects of acceleration,deceleration,initial speed,elastically supported stiffness and random surface irregularities on the girder bridge were too large to be neglected,and that the maximal amplitude of resonance vibration was suppressed greatly by TMD.