Influence of bridge parameters on monorail vehicle–bridge system— A research with multi-rigid body and multi-flexible body coupling theory and Park method

Abstract

The parameters of the monorail bridge, which have a significant effect on the vehicle, are analyzed in this paper. With Park method, a complicated solver of the second order with a variable step size, equations insolvable to traditional methods can be solved and a more complicated dynamic model could be built. Different from some traditional simulation of vehicle–bridge coupling system, the bridge is divided into the girder and piers. The finite element model of each part is created separately in Ansys and coupled with the vehicle system in UM, which helps the analysis of the interaction forces between flexible components and better simulation accuracy can be obtained. FIALA model is used to calculate the wheel force. These methods make the measurement more precise. The study shows that all the variables except for the stiffener thickness have little effect on the vibration of the vehicle due to the good vibration reduction performance of the vehicle system. The resonance of the girder could be avoided by changing the thickness of the stiffeners and web plates. In addition, high stiffness and damping of the connection point of the girder and pier are helpful in alleviating the vibration of the bridge.

A comprehensive review on coupling vibrations of train–bridge systems under external excitations

“…Numerical methods proposed for solving the governing equations of the dynamic system [9] include the direct coupling method, the in-time-step iteration method, the intersystem iteration method, the explicit integration method (Zhai method) [16], and the Park method [17]. Train and bridge are often regarded as two subsystems, and the Newmark-β method is often used to solve the equation through separate iteration.…”

Intelligent batch process method for analyzing the effect of the suspension parameters on the vibration of the suspended monorail

“…Park method, with no requirement of historical derivative information could be the solution. The multistep method G m , could be expressed as follows 38 :…”

“…Reference 38 shows the comparison among the Houbolt method, trapezoidal method, and Park method. When the integration step is small, the result of trapezoidal rule is more accurate, but when the time step is larger, the result becomes unbounded.…”