Vibration Analysis of EMS-Type Maglev Vehicles Traveling over a Long-Span Bridge with Double Lines

Abstract

This paper establishes a detailed three-dimensional (3D) model to study the spatial vibration characteristics of two middle-low speed vehicles traveling along a long-span bridge with double lines. Here, two state-space equations for the left- and right-hand maglev vehicles are derived, considering the equations of motion of vehicles, governing equations of currents, linear feedback controls and state observers. By employing the conventional finite element method, the equation of motion for the variable cross-section continuous girder bridge with three spans is simulated. To solve these three coupled equations, this study adopted a new separated iterative approach based on the precise integration method and the Newmark-β method. The total virtual work conducted by the inertial loads, damping loads, elastic loads and fluctuating electromagnetic loads are calculated to conveniently assemble the global mass matrix, damping matrix, stiffness matrix and coefficient matrices of fluctuating electromagnetic forces in the maglev vehicles. The numerical studies indicate that the vertical interactions play dominant roles in the 3D maglev vehicles-bridge system, and the passing maglev vehicles on the bridge have little influence on the lateral motions of the vehicle on the other line due to the adequate lateral stiffness of the bridge.