Random Vibration Analysis of High-speed Moving Maglev Train on Simply Supported Bridge Considering Track Irregularity

The high-speed maglev train is a potential innovative and convenient transportation. Its stability and vibration performances while moving on bridges are still the fundamental considerations to be determined. The stable control condition of the high-speed maglev train moving on an irregulated track is analyzed theoretically employing a simplified moving electromagnet model at first. The Routh–Hurwitz stability criterion is introduced to determine the limiting values of the electromagnetic control parameters. It is interesting that the obtained stable critical values of the control parameters are not sensitive to the moving speed and the bridge parameters. The stable critical value of the electromagnetic control parameters is dominated by the negative stiffness and negative damping mechanism. The coupled vibration system of the high-speed maglev train–bridge considering the track irregularity is then established. The explicit time-domain integration method based on spectral decomposition is applied to solve the random vibration of the system, while the classical Newmark-[Formula: see text] method is used to solve the deterministic responses. The numerical results are compared and validated with the Monte Carlo simulation and the measurement data. The statistical response characteristics of the high-speed maglev train and the bridge under random track irregularity are then analyzed. The vibration of the train fluctuates obviously during the suspension process with a great standard derivation. Like the comment wheel rail train on bridge, responses increase obviously with the increase of train speed and the deterioration of the track irregularity.